SumofthePrimeFactors
SumofthePrimeFactors
In this section, we will make some determinations by
separatingtheindexofQur’ānintoprimefactors.Whatdoprime
factorsofanumbermean?
Non-prime numbers can be separated into multipliers by
usingtheappropriateprimenumbersamongthepreceding.Letus
explainitwithafewexamples:
Example:
Letusconsiderthenumber6
Primefactorsofthisnumber:6=2*3
Letusconsiderthenumber8
Primefactorsofthisnumber:8=2
2*22*22
Letusconsiderthenumber75
3*55*55
Primefactorsofthisnumber:75=3
Letusconsiderthenumber100
Primefactorsofthisnumber:100=2
2*22*55*55
Inseparationoffactors,ifexponentialnotationisusedfor
therepeatedmultipliers,
8=223
75=33*552
100=222*552
Then the acquired notation is called as separating such
number into prime factors, and the transaction is called the
separationintoprimefactors(theintegerprime
integerprimeintegerprime-factorization).
factorization)
n,beingapositiveinteger,thesumoftheprimefactorsis
shownasa0(n).
Accordingtothis,thesumoftheprimefactorsof100:
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
a0(100)=2+2+5+5
a0(100)=14
14
14
ThelargestnumberintheindexofHolyQur’ānis286.In
the following list, prime factors of the numbers 1 thru 286 and
theirsumsaregiven:
n
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
198
Prime
Factors
1
2
3
22
5
2.3
7
23
32
2·5
11
22·3
13
2·7
3·5
24
17
2·32
19
22·5
3·7
2·11
23
23·3
52
a0(n)
n
1
2
3
4
5
5
7
6
6
7
11
7
13
9
8
8
17
8
19
9
10
13
23
9
10
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
Prime
Factors
24·32
5·29
2·73
3·72
22·37
149
2·3·52
151
23·19
32·17
2·7·11
5·31
2
2 ·3·13
157
2·79
3·53
25·5
7·23
2·34
163
22·41
3·5·11
2·83
167
3
2 ·3·7
a0(n)
14
34
75
17
41
149
15
151
25
23
20
36
20
157
81
56
15
30
14
163
45
19
85
167
16
SumofthePrimeFactors
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
2·13
33
22·7
29
2·3·5
31
25
3·11
2·17
5·7
22·32
37
2·19
3·13
23·5
41
2·3·7
43
2
2 ·11
32·5
2·23
47
24·3
72
2·52
3·17
22·13
53
2·33
5·11
23·7
3·19
2·29
59
15
9
11
29
10
31
10
14
19
12
10
37
21
16
11
41
12
43
15
11
25
47
11
14
12
20
17
53
11
16
13
22
31
59
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
132
2·5·17
32·19
22·43
173
2·3·29
52·7
24·11
3·59
2·89
179
2 2
2 ·3 ·5
181
2·7·13
3·61
23·23
5·37
2·3·31
11·17
22·47
33·7
2·5·19
191
26·3
193
2·97
3·5·13
22·72
197
2·32·11
199
199
23·52
3·67
2·101
26
24
25
47
173
34
17
19
62
91
179
15
181
22
64
29
42
36
28
51
16
26
191
15
193
99
21
18
197
19
199
16
70
103
199
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
200
22·3·5
61
2·31
32·7
26
5·13
2·3·11
67
2
2 ·17
3·23
2·5·7
71
3 2
2 ·3
73
2·37
3·52
22·19
7·11
2·3·13
79
24·5
34
2·41
83
2
2 ·3·7
5·17
2·43
3·29
23·11
89
2·32·5
7·13
22·23
3·31
12
61
33
13
12
18
16
67
21
26
14
71
12
73
39
13
23
18
18
79
13
12
43
83
14
22
45
32
17
89
13
20
27
34
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
7·29
2 ·3·17
5·41
2·103
32·23
24·13
11·19
2·3·5·7
211
22·53
3·71
2·107
5·43
23·33
7·31
2·109
3·73
2
2 ·5·11
13·17
2·3·37
223
25·7
32·52
2·113
227
2
2 ·3·19
229
2·5·23
3·7·11
23·29
233
2·32·13
5·47
22·59
2
36
24
46
105
29
21
30
17
211
57
74
109
48
15
38
111
76
20
30
42
223
17
16
115
227
26
229
30
21
35
233
21
52
63
SumofthePrimeFactors
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
2·47
5·19
25·3
97
2·72
32·11
22·52
101
2·3·17
103
23·13
3·5·7
2·53
107
22·33
109
2·5·11
3·37
24·7
113
2·3·19
5·23
22·29
32·13
2·59
7·17
23·3·5
112
2·61
3·41
22·31
53
2·32·7
127
49
24
13
97
16
17
14
101
22
103
19
15
55
107
13
109
18
40
15
113
24
28
33
19
61
24
14
22
63
44
35
15
15
127
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
3·79
2·7·17
239
24·3·5
241
2·112
35
22·61
5·72
2·3·41
13·19
23·31
3·83
2·53
251
22·32·7
11·23
2·127
3·5·17
28
257
2·3·43
7·37
22·5·13
32·29
2·131
263
3
2 ·3·11
5·53
2·7·19
3·89
22·67
269
2·33·5
82
26
239
16
241
24
15
65
19
46
32
37
86
17
251
17
34
129
25
16
257
48
44
22
35
133
263
20
58
28
92
71
269
16
201
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
27
3·43
2·5·13
131
2
2 ·3·11
7·19
2·67
33·5
23·17
137
2·3·23
139
2
2 ·5·7
3·47
2·71
11·13
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
14
46
20
131
18
26
69
14
23
137
28
139
16
50
73
24
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
271
24·17
3·7·13
2·137
52·11
22·3·23
277
2·139
32·31
23·5·7
281
2·3·47
283
22·71
3·5·19
2·11·13
271
25
23
139
21
30
277
141
37
18
281
52
283
75
27
26
List–99
SumofthePrimeFactors
SumofthePrimeFactorsoftheSequenceNumberof
FactorsoftheSequenceNumberof
theSurahs
theSurahs
Insteadofthesequencenumberofthesurahsletuswrite
downthesumoftheprimefactorsofthem:
a0(No.)
Surah
a0(No.)
Surah
a0(No.)
Surah
Surah
1
Al-Fāti@a
16
Al-Zumar
18
AlMursalāt
11
Al-Mu’min
18
Al-Naba’
41
12
FuEEilat
Al-Shūrā
79
13
Al-Nāzi‘āt
‘Abasa
43
Al-Zukhruf
12
Al-Takwīr
15
11
Al-Dukhān
Al-Jāthiyah
43
83
Al-InfiIār
Al-
2
3
4
5
5
7
202
AlBaqarah
Āl‘Imrān
Al-Nisā
AlMāidah
Al-En‘ām
Al-A‘rāf
SumofthePrimeFactors
6
Al-Anfāl
MuIaffifīn
AlInshiqāq
25
Al-A@qāf
14
47
Mu@ammad
22
Al-Burūj
11
14
Al-Fat@
Al-Nujurāt
45
32
7
11
AlTawbah
Yūnus
Hūd
7
Yūsuf
12
Qāf
17
13
9
8
8
17
Al-Ra‘d
Ibrāhīm
Al-Nijr
Al-Na@l
Al-’Isrā
20
17
53
11
16
Al-Dhāriyāt
Al-Mūr
Al-Najm
Al-Qamar
Al-Ra@mān
89
13
20
27
34
8
Al-Kahf
13
Al-Wāqi‘ah
49
19
Maryam
22
24
9
Māhā
31
13
Al-‘Alaq
10
Al-Anbiyā
59
97
13
Al-Najj
12
Al-Nadīd
AlMujādalah
Al-Nashr
AlMumta@inah
Al-Māriq
Al-A‘lā
AlGhāshiyah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Qu@a
AlInshirā@
Al-Tīn
Al-Qadr
AlBayyinah
6
13
9
AlMu’minūn
Al-Nūr
AlFurqān
AlShu‘arā
Al-Naml
11
Al-QaEaE
23
9
10
15
16
61
Al-Saff
17
Al-Zilzāl
33
14
18
Al-Jumu‘ah
AlMunāfiqūn
AlTaghābun
Al-Malāq
16
Al-Ta@rīm
19
Al-‘Ādiyāt
AlQāri‘ah
AlTakāthur
Al-‘Asr
AlHumaza
67
Al-Mulk
15
Al-Fīl
21
26
Al-Qalam
Al-Nāqqah
55
107
Quraysh
Al-Mā‘ūn
AlKawthar
AlKāfirūn
Al-NaEr
12
101
22
103
10
31
Al‘Ankabūt
Al-Rūm
Luqmān
10
Al-Sajdah
14
Al-Ma‘ārij
13
14
Al-A@zāb
71
Nū@
109
19
Saba
12
Al-Jinn
18
29
203
BinarySymmetricBook dr.eng.halisaydemir
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12
FāIir
73
10
Yāsīn
39
37
21
Al-Saffāt
Sād
13
23
AlMuzzammil
AlMuddaththir
Al-Qiyāmah
Al-Insān
List-100
40
Tabbat
15
Al-IkhlāE
113
24
Al-Falaq
Al-Nās
Now, let us calculate the sum of the prime factors of the
numberofayatsofthesurahs,followingthesameway:
SumofthePrimeFactors
SumofthePrimeFactorsoftheNumberofAyatsofthe
FactorsoftheNumberofAyatsofthe
Surahs
Surahs
Surah
a0(Ayat)
Surah
a0(Ayat)
Surah
a0(Ayat)
Al-Fāti@a
7
Al-Zumar
13
AlMursalāt
12
26
Al-Mu’min
22
Al-Naba’
11
16
19
FuEEilat
Al-Shūrā
11
53
Al-Nāzi‘āt
‘Abasa
25
12
14
Al-Zukhruf
89
Al-Takwīr
29
19
Al-Dukhān
59
19
Al-A‘rāf
105
Al-Jāthiyah
37
Al-Anfāl
13
Al-A@qāf
12
Al-InfiIār
AlMuIaffifīn
AlInshiqāq
AlBaqarah
Āl‘Imrān
Al-Nisā
AlMāidah
Al-En‘ām
10
10
AlTawbah
Yūnus
Hūd
46
Mu@ammad
21
Al-Burūj
13
109
44
Al-Fat@
Al-Nujurāt
29
8
17
19
Yūsuf
40
Qāf
11
Al-Ra‘d
Ibrāhīm
Al-Nijr
Al-Na@l
43
17
17
14
Al-Dhāriyāt
Al-Mūr
Al-Najm
Al-Qamar
12
14
33
16
Al-Māriq
Al-A‘lā
AlGhāshiyah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
204
15
10
9
8
10
SumofthePrimeFactors
Al-’Isrā
40
Al-Ra@mān
18
Al-Kahf
18
Al-Wāqi‘ah
13
Maryam
16
Māhā
14
Al-Anbiyā
15
Al-Najj
18
Al-Nadīd
AlMujādalah
Al-Nashr
AlMumta@inah
AlMu’minūn
Al-Nūr
AlFurqān
AlShu‘arā
Al-Naml
Al-QaEaE
11
29
Al-Qu@a
AlInshirā@
Al-Tīn
13
Al-‘Alaq
19
9
Al-Qadr
AlBayyinah
5
13
6
6
6
61
Al-Saff
9
Al-Zilzāl
6
12
11
17
Al-Ta@rīm
7
Al-‘Ādiyāt
AlQāri‘ah
AlTakāthur
Al-‘Asr
AlHumaza
11
34
Al-Jumu‘ah
AlMunāfiqūn
AlTaghābun
Al-Malāq
18
227
11
8
7
11
6
3
6
Al‘Ankabūt
Al-Rūm
Luqmān
26
Al-Mulk
10
Al-Fīl
5
12
19
Al-Qalam
Al-Nāqqah
17
17
4
7
Al-Sajdah
10
Al-Ma‘ārij
15
Al-A@zāb
73
Nū@
11
Saba
11
Quraysh
Al-Mā‘ūn
AlKawthar
AlKāfirūn
Al-NaEr
3
FāIir
11
Tabbat
5
Yāsīn
83
Al-IkhlāE
4
Al-Saffāt
Sād
22
17
Al-Falaq
Al-Nās
5
5
Al-Jinn
11
Al9
Muzzammil
Al13
Muddaththir
Al-Qiyāmah
11
Al-Insān
31
List–101
3
5
Afterspecifyingthesetwosets,nowwecanproceedwith
thedeterminationofthesubsets.
205
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Thesetofsurahswithodda
Thesetofsurahswithodda0(numberofayats)
(numberofayats)
XX
a0(Ayat)
No.
Surah
No.
Surah
1
Al-Fāti@a
7
63
4
6
7
8
10
13
14
15
Al-Nisā
Al-En‘ām
Al-A‘rāf
Al-Anfāl
Yūnus
Al-Ra‘d
Ibrāhīm
Al-Nijr
19
19
105
13
109
43
17
17
65
66
68
69
70
71
72
73
21
Al-Anbiyā
15
74
Al-Muzzammil
AlMuddaththir
AlMunāfiqūn
Al-Malāq
Al-Ta@rīm
Al-Qalam
Al-Nāqqah
Al-Ma‘ārij
Nū@
Al-Jinn
a0(Ayat)
11
7
7
17
17
15
11
11
9
13
61
75
Al-Qiyāmah
11
26
28
31
33
34
35
36
38
AlMu’minūn
Al-Shu‘arā
Al-QaEaE
Luqmān
Al-A@zāb
Saba
FāIir
Yāsīn
Sād
227
17
19
73
11
11
83
17
76
78
79
81
82
85
86
87
31
11
25
29
19
13
17
19
39
Al-Zumar
13
88
41
42
43
44
45
47
48
50
53
FuEEilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
Al-Jāthiyah
Mu@ammad
Al-Fat@
Qāf
Al-Najm
11
53
89
59
37
21
29
11
33
90
93
96
97
100
101
103
105
107
Al-Insān
Al-Naba’
Al-Nāzi‘āt
Al-Takwīr
Al-InfiIār
Al-Burūj
Al-Māriq
Al-A‘lā
AlGhāshiyah
Al-Balad
Al-Qu@a
Al-‘Alaq
Al-Qadr
Al-‘Ādiyāt
Al-Qāri‘ah
Al-‘Asr
Al-Fīl
Al-Mā‘ūn
23
206
15
9
11
19
5
11
11
3
5
7
SumofthePrimeFactors
56
57
Al-Wāqi‘ah
Al-Nadīd
AlMujādalah
Al-Nashr
AlMumta@inah
Al-Saff
Al-Jumu‘ah
58
59
60
61
62
13
29
108
109
Al-Kawthar
Al-Kāfirūn
3
5
13
110
Al-NaEr
3
9
111
Tabbat
5
13
113
Al-Falaq
5
9
11
114
Al-Nās
5
List–102
AsitisseenfromtheList-102,thenumberofmembersof
the set of surahs with an odd numbered sum of prime factors of
thenumberofayatsis71
71.
71
71isaprimenumber!
71
Thesetofsurahswithodda
Thesetofsurahswithodda0(SequenceNumber
(SequenceNumber)
SequenceNumber)
a0(No.)
Surah
a0(No.)
Surah
Surah
1
3
5
5
7
7
11
7
13
9
17
19
9
13
23
9
15
9
Al-Fāti@a
Āl‘Imrān
Al-Māidah
Al-En‘ām
Al-A‘rāf
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Ibrāhīm
Al-’Isrā
Maryam
Māhā
Al-Najj
Al-Mu’minūn
Al-Nūr
Al-Shu‘arā
Al-Naml
31
59
61
33
13
67
21
71
73
39
13
23
79
13
43
83
45
17
Al-Mujādalah
Al-Nashr
Al-Saff
Al-Jumu‘ah
Al-Munāfiqūn
Al-Mulk
Al-Qalam
Nū@
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Nāzi‘āt
‘Abasa
Al-InfiIār
Al-MuIaffifīn
Al-Māriq
Al-Ghāshiyah
207
BinarySymmetricBook dr.eng.halisaydemir
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11
29
31
19
37
21
11
41
43
15
11
25
47
11
17
53
11
13
Al-QaEaE
Al-‘Ankabūt
Luqmān
Saba
Al-Saffāt
Sād
Al-Mu’min
FuEEilat
Al-Zukhruf
Al-Dukhān
Al-Jāthiyah
Al-A@qāf
Mu@ammad
Al-Fat@
Al-Mūr
Al-Najm
Al-Qamar
Al-Wāqi‘ah
89
13
27
49
13
97
17
101
103
19
15
55
107
13
109
15
113
Al-Fajr
Al-Balad
Al-Layl
Al-Inshirā@
Al-‘Alaq
Al-Qadr
Al-Zilzāl
Al-Qāri‘ah
Al-‘Asr
Al-Humaza
Al-Fīl
Quraysh
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-IkhlāE
Al-Falaq
List–103
AsitisseenfromtheList-103,thenumberofmembersof
thesetofsurahswithanoddnumberedsumoftheprimefactors
ofthesequencenumberofthesurahsalsois71
71.
71
71isaprimenumber!
71
Evaluation
Can this happen by coincidence?
Let’sseetheresultswhichoutcomecollectively:
208
SumofthePrimeFactors
7
26
16
19
14
19
105
13
46
109
44
40
43
17
17
14
40
18
16
14
15
18
61
12
18
227
34
17
26
12
19
10
73
11
11
83
22
17
13
22
11
53
89
59
37
12
21
29
8
11
12
14
33
16
18
13
29
13
9
13
9
11
11
8
7
7
10
17
17
15
11
11
9
13
11
31
12
11
25
12
29
19
10
10
13
17
19
15
10
9
8
10
11
6
6
19
5
6
6
11
11
6
3
6
5
4
7
3
5
3
5
4
5
5
Surahs With Odd a0(sequence number)
Surahs With Odd a0(number of ayats)
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
71 71
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
Inthefigure,equaldistributionofthesurahswithodda0(sequencenumber)andthesurahswithodda0(numberofayats)isshown.
a0(Ayat)
s y m m e t r y
SURAH
Al-Fātiḥa
Al-Baqarah
Āl ‘Imrān
Al-Nisā
Al-Māidah
Al-En‘ām
Al-A‘rāf
Al-Anfāl
Al-Tawbah
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Ibrāhīm
Al-Ḥijr
Al-Naḥl
Al-’Isrā
Al-Kahf
Maryam
Ṭāhā
Al-Anbiyā
Al-Ḥajj
Al-Mu’minūn
Al-Nūr
Al-Furqān
Al-Shu‘arā
Al-Naml
Al-Qaṣaṣ
Al-‘Ankabūt
Al-Rūm
Luqmān
Al-Sajdah
Al-Aḥzāb
Saba
Fāṭir
Yāsīn
Al-Ṣaffāt
Ṣād
Al-Zumar
Al-Mu’min
Fuṣṣilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
Al-J ā th iya h
Al-Aḥqāf
Muḥammad
Al-Fatḥ
Al-Ḥujurāt
Qāf
Al-Dhāriyāt
Al-Ṭūr
Al-Najm
Al-Qamar
Al-Raḥmān
Al-Wāqi‘ah
Al-Ḥadīd
Al-Mujādalah
Al-Ḥashr
Al-Mumtaḥinah
Al-Ṣaff
Al-Jumu‘ah
Al-Munāfiqūn
Al-Taghābun
Al-Ṭalāq
Al-Taḥrīm
Al-Mulk
Al-Qalam
Al-Ḥāqqah
Al-Ma‘ārij
Nūḥ
Al-Jinn
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Mursalāt
A l - N a b a’
Al-Nāzi‘āt
‘A b a s a
Al-Takwīr
Al-Infiṭār
Al-Muṭaffifīn
Al-Inshiqāq
Al-Burūj
Al-Ṭāriq
Al-A‘lā
Al-Ghāshiyah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Ḍuḥa
Al-Inshirāḥ
Al-Tīn
Al-‘Alaq
Al-Qadr
Al-Bayyinah
Al-Z ilzāl
Al-‘Ādiyāt
A l - Q ā r i ‘a h
Al-Takāthur
A l - ‘A s r
Al-Humaza
Al-Fīl
Quraysh
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-Naṣr
Tabbat
Al-Ikhlāṣ
Al-Falaq
A l - N ā s
o f
1
2
3
4
5
5
7
6
6
7
11
7
13
9
8
8
17
8
19
9
10
13
23
9
10
15
9
11
29
10
31
10
14
19
12
10
37
21
16
11
41
12
43
15
11
25
47
11
14
12
20
17
53
11
16
13
22
31
59
12
61
33
13
12
18
16
67
21
26
14
71
12
73
39
13
23
18
18
79
13
12
43
83
14
22
45
32
17
89
13
20
27
34
49
24
13
97
16
17
14
101
22
103
19
15
55
107
13
109
18
40
15
113
24
a x i s
a0(NO.)
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
209
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
210
Surahs With Odd a0(sequence number)
Surahs With Odd a0(number of ayats)
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
Inthefigure,(prime-prime)distributionofthesurahswithodda0(sequencenumber)andthesurahswithodda0(numberofayats)isshown.
X
Prime
7
26
16
19
14
19
105
13
46
109
44
40
43
17
17
14
40
18
16
14
15
18
61
12
18
227
34
17
26
12
19
10
73
11
11
83
22
17
13
22
11
53
89
59
37
12
21
29
8
11
12
14
33
16
18
13
29
13
9
13
9
11
11
8
7
7
10
17
17
15
11
11
9
13
11
31
12
11
25
12
29
19
10
10
13
17
19
15
10
9
8
10
11
6
6
19
5
6
6
11
11
6
3
6
5
4
7
3
5
3
5
4
5
5
s y m m e t r y
a0(Ayat)
o f
Al-Fātiḥa
Al-Baqarah
Āl ‘Imrān
Al-Nisā
Al-Māidah
Al-En‘ām
Al-A‘rāf
Al-Anfāl
Al-Tawbah
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Ibrāhīm
Al-Ḥijr
Al-Naḥl
Al-’Isrā
Al-Kahf
Maryam
Ṭāhā
Al-Anbiyā
Al-Ḥajj
Al-Mu’minūn
Al-Nūr
Al-Furqān
Al-Shu‘arā
Al-Naml
Al-Qaṣaṣ
Al-‘Ankabūt
Al-Rūm
Luqmān
Al-Sajdah
Al-Aḥzāb
Saba
Fāṭir
Yāsīn
Al-Ṣaffāt
Ṣād
Al-Zumar
Al-Mu’min
Fuṣṣilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
Al-J ā th iya h
Al-Aḥqāf
Muḥammad
Al-Fatḥ
Al-Ḥujurāt
Qāf
Al-Dhāriyāt
Al-Ṭūr
Al-Najm
Al-Qamar
Al-Raḥmān
Al-Wāqi‘ah
Al-Ḥadīd
Al-Mujādalah
Al-Ḥashr
Al-Mumtaḥinah
Al-Ṣaff
Al-Jumu‘ah
Al-Munāfiqūn
Al-Taghābun
Al-Ṭalāq
Al-Taḥrīm
Al-Mulk
Al-Qalam
Al-Ḥāqqah
Al-Ma‘ārij
Nūḥ
Al-Jinn
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Mursalāt
A l - N a b a’
Al-Nāzi‘āt
‘A b a s a
Al-Takwīr
Al-Infiṭār
Al-Muṭaffifīn
Al-Inshiqāq
Al-Burūj
Al-Ṭāriq
Al-A‘lā
Al-Ghāshiyah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Ḍuḥa
Al-Inshirāḥ
Al-Tīn
Al-‘Alaq
Al-Qadr
Al-Bayyinah
Al-Z ilzāl
Al-‘Ādiyāt
A l - Q ā r i ‘a h
Al-Takāthur
A l - ‘A s r
Al-Humaza
Al-Fīl
Quraysh
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-Naṣr
Tabbat
Al-Ikhlāṣ
Al-Falaq
A l - N ā s
a x i s
1
2
3
4
5
5
7
6
6
7
11
7
13
9
8
8
17
8
19
9
10
13
23
9
10
15
9
11
29
10
31
10
14
19
12
10
37
21
16
11
41
12
43
15
11
25
47
11
14
12
20
17
53
11
16
13
22
31
59
12
61
33
13
12
18
16
67
21
26
14
71
12
73
39
13
23
18
18
79
13
12
43
83
14
22
45
32
17
89
13
20
27
34
49
24
13
97
16
17
14
101
22
103
19
15
55
107
13
109
18
40
15
113
24
Prime
SURAH
a0(NO.)
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
SumofthePrimeFactors
Thesetofsurahswitheven
Thesetofsurahswitheven
evena0(numberofayats)
(numberofayats)
ofayats)
XX
No.
2
3
5
9
11
12
16
17
18
19
20
22
24
25
27
29
30
32
37
40
46
49
Surah
AlBaqarah
Āl‘Imrān
Al-Māidah
Al-Tawbah
Hūd
Yūsuf
Al-Na@l
Al-’Isrā
Al-Kahf
Maryam
Māhā
Al-Najj
Al-Nūr
Al-Furqān
Al-Naml
Al‘Ankabūt
Al-Rūm
Al-Sajdah
Al-Saffāt
Al-Mu’min
Al-A@qāf
Al-Nujurāt
a0(Ayat)
a0(Ayat)
No.
Surah
26
51
Al-Dhāriyāt
12
16
14
46
44
40
14
40
18
16
14
18
12
18
34
52
54
55
64
67
77
80
83
84
89
91
92
94
95
Al-Mūr
Al-Qamar
Al-Ra@mān
Al-Taghābun
Al-Mulk
Al-Mursalāt
‘Abasa
Al-MuIaffifīn
Al-Inshiqāq
Al-Fajr
Al-Shams
Al-Layl
Al-Inshirā@
Al-Tīn
14
16
18
8
10
12
12
10
10
10
8
10
6
6
26
98
Al-Bayyinah
6
12
10
22
22
12
8
99
102
104
106
112
Al-Zilzāl
Al-Takāthur
Al-Humaza
Quraysh
Al-IkhlāE
6
6
6
4
4
List–104
AsitisseenfromtheList-104,thenumberofmembersof
thesetofsurahswithanevennumberedsumofprimefactorsof
thenumberofayatsis43
43.
43
43isaprimenumber!
43
211
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
Thetotalnumber
ofsurahs
114
71
43
Thenumberofsurahs
withodda0(number
ofayats)
Thenumberofsurahs
withevena0(numberof
ayats)
Figure-20Distributionofthesurahs(asprimeandprime)isshown.
Thesetofsurahswitheven
Thesetofsurahswitheven
evena0(SequenceNumber
(SequenceNumber)
SequenceNumber)
a0(No.)
Surah
a0(No.)
Surah
Surah
2
4
6
6
8
8
8
10
10
10
10
14
12
10
16
12
14
12
Al-Baqarah
Al-Nisā
Al-Anfāl
Al-Tawbah
Al-Nijr
Al-Na@l
Al-Kahf
Al-Anbiyā
Al-Furqān
Al-Rūm
Al-Sajdah
Al-A@zāb
FāIir
Yāsīn
Al-Zumar
Al-Shūrā
Al-Nujurāt
Qāf
12
18
16
26
14
12
18
18
12
14
22
32
20
34
24
16
14
22
Al-Taghābun
Al-Malāq
Al-Ta@rīm
Al-Nāqqah
Al-Ma‘ārij
Al-Jinn
Al-Mursalāt
Al-Naba’
Al-Takwīr
Al-Inshiqāq
Al-Burūj
Al-A‘lā
Al-Shams
Al-Qu@a
Al-Tīn
Al-Bayyinah
Al-‘Ādiyāt
Al-Takāthur
212
SumofthePrimeFactors
20
16
22
12
Al-Dhāriyāt
Al-Ra@mān
Al-Nadīd
Al-Mumta@inah
18
40
24
Al-NaEr
Tabbat
Al-Nās
List-105
AsitisseenfromtheList-105,thenumberofmembersof
thesetofsurahswithanevennumberedsumoftheprimefactors
ofthesequencenumberofthesurahsalsois43
43.
43
43isaprimenumber!
43
Thetotalnumber
ofsurahs
114
71
Thenumberofsurahs
withodda0(sequence
number)
43
Thenumberofsurahs
withevena0(sequence
number)
Figure-21Distributionofthesurahs(asprimeandprime)isshown.
Evaluation
Evaluation
In a single word, it is incredible…
Let’sseetheresultswhichoutcomecollectively:
213
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
214
7
26
16
19
14
19
105
13
46
109
44
40
43
17
17
14
40
18
16
14
15
18
61
12
18
227
34
17
26
12
19
10
73
11
11
83
22
17
13
22
11
53
89
59
37
12
21
29
8
11
12
14
33
16
18
13
29
13
9
13
9
11
11
8
7
7
10
17
17
15
11
11
9
13
11
31
12
11
25
12
29
19
10
10
13
17
19
15
10
9
8
10
11
6
6
19
5
6
6
11
11
6
3
6
5
4
7
3
5
3
5
4
5
5
Surahs With Even a0(sequence number)
Surahs With Even a0(number of ayats)
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
43 43
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
Inthefigure,equaldistributionofthesurahswithevena0(sequencenumber)andthesurahswithevena0(numberofayats)isshown.
a0(Ayat)
s y m m e t r y
Al-Fātiḥa
Al-Baqarah
Āl ‘Imrān
Al-Nisā
Al-Māidah
Al-En‘ām
Al-A‘rāf
Al-Anfāl
Al-Tawbah
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Ibrāhīm
Al-Ḥijr
Al-Naḥl
Al-’Isrā
Al-Kahf
Maryam
Ṭāhā
Al -An biyā
Al-Ḥajj
Al-Mu’minūn
Al-Nūr
Al-Furqān
Al-Shu‘arā
Al-Naml
Al-Qaṣaṣ
Al-‘Ankabūt
Al-Rūm
Luqmān
Al-Sajdah
Al-Aḥzāb
Saba
Fāṭir
Yāsīn
Al-Ṣaffāt
Ṣād
Al-Zumar
Al-Mu’min
Fuṣṣilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
A l-Jāthi yah
Al-Aḥqāf
Muḥammad
Al-Fatḥ
Al-Ḥujurāt
Qāf
A l-Dhā ri yāt
Al-Ṭūr
Al-Najm
Al-Qamar
Al-Raḥmān
Al-Wāqi‘ah
Al-Ḥadīd
Al-Mujādalah
Al-Ḥashr
Al-Mumtaḥinah
Al-Ṣaff
Al-Jumu‘ah
Al-Munāfiqūn
Al-Taghābun
Al-Ṭalāq
Al-Taḥrīm
Al-Mulk
Al-Qalam
Al-Ḥāqqah
Al-Ma‘ārij
Nūḥ
Al-Jinn
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Mursalāt
A l - N a b a’
Al-Nāzi‘āt
‘A b a s a
Al-Takwīr
Al-Infiṭār
Al-Muṭaffifīn
Al-Inshiqāq
Al-Burūj
Al-Ṭāriq
Al-A‘lā
Al-G hāshi yah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Ḍuḥa
Al-Inshirāḥ
Al-Tīn
Al-‘Alaq
Al-Qadr
Al -B ayyinah
Al-Zilzāl
Al-‘Ādiyāt
A l - Q ā r i ‘a h
Al-Takāthur
A l - ‘A s r
Al-Hum aza
Al-Fīl
Quraysh
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-Naṣr
Tabbat
Al-Ikhlāṣ
Al-Falaq
A l - N ā s
o f
1
2
3
4
5
5
7
6
6
7
11
7
13
9
8
8
17
8
19
9
10
13
23
9
10
15
9
11
29
10
31
10
14
19
12
10
37
21
16
11
41
12
43
15
11
25
47
11
14
12
20
17
53
11
16
13
22
31
59
12
61
33
13
12
18
16
67
21
26
14
71
12
73
39
13
23
18
18
79
13
12
43
83
14
22
45
32
17
89
13
20
27
34
49
24
13
97
16
17
14
101
22
103
19
15
55
107
13
109
18
40
15
113
24
a x i s
SURAH
a0(NO.)
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
SumofthePrimeFactors
Surahs With Even a0(sequence number)
Surahs With Even a0(number of ayats)
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
Inthefigure,(prime-prime)distributionofthesurahswithevena0(sequencenumber)andthesurahswithevena0(numberofayats)isshown.
X
X
Prime
7
26
16
19
14
19
105
13
46
109
44
40
43
17
17
14
40
18
16
14
15
18
61
12
18
227
34
17
26
12
19
10
73
11
11
83
22
17
13
22
11
53
89
59
37
12
21
29
8
11
12
14
33
16
18
13
29
13
9
13
9
11
11
8
7
7
10
17
17
15
11
11
9
13
11
31
12
11
25
12
29
19
10
10
13
17
19
15
10
9
8
10
11
6
6
19
5
6
6
11
11
6
3
6
5
4
7
3
5
3
5
4
5
5
s y m m e t r y
a0(Ayat)
o f
SURAH
Al-Fātiḥa
Al-Baqarah
Āl ‘Imrān
Al-Nisā
Al-Māidah
Al-En‘ām
Al-A‘rāf
Al-Anfāl
Al-Tawbah
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Ibrāhīm
Al-Ḥijr
Al-Naḥl
Al-’Isrā
Al-Kahf
Maryam
Ṭāhā
Al -An biyā
Al-Ḥajj
Al-Mu’minūn
Al-Nūr
Al-Furqān
Al-Shu‘arā
Al-Naml
Al-Qaṣaṣ
Al-‘Ankabūt
Al-Rūm
Luqmān
Al-Sajdah
Al-Aḥzāb
Saba
Fāṭir
Yāsīn
Al-Ṣaffāt
Ṣād
Al-Zumar
Al-Mu’min
Fuṣṣilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
A l-Jāthi yah
Al-Aḥqāf
Muḥammad
Al-Fatḥ
Al-Ḥujurāt
Qāf
A l-Dhā ri yāt
Al-Ṭūr
Al-Najm
Al-Qamar
Al-Raḥmān
Al-Wāqi‘ah
Al-Ḥadīd
Al-Mujādalah
Al-Ḥashr
Al-Mumtaḥinah
Al-Ṣaff
Al-Jumu‘ah
Al-Munāfiqūn
Al-Taghābun
Al-Ṭalāq
Al-Taḥrīm
Al-Mulk
Al-Qalam
Al-Ḥāqqah
Al-Ma‘ārij
Nūḥ
Al-Jinn
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Mursalāt
A l - N a b a’
Al-Nāzi‘āt
‘A b a s a
Al-Takwīr
Al-Infiṭār
Al-Muṭaffifīn
Al-Inshiqāq
Al-Burūj
Al-Ṭāriq
Al-A‘lā
Al-G hāshi yah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Ḍuḥa
Al-Inshirāḥ
Al-Tīn
Al-‘Alaq
Al-Qadr
Al -B ayyinah
Al-Zilzāl
Al-‘Ādiyāt
A l - Q ā r i ‘a h
Al-Takāthur
A l - ‘A s r
Al-Hum aza
Al-Fīl
Quraysh
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-Naṣr
Tabbat
Al-Ikhlāṣ
Al-Falaq
A l - N ā s
a x i s
1
2
3
4
5
5
7
6
6
7
11
7
13
9
8
8
17
8
19
9
10
13
23
9
10
15
9
11
29
10
31
10
14
19
12
10
37
21
16
11
41
12
43
15
11
25
47
11
14
12
20
17
53
11
16
13
22
31
59
12
61
33
13
12
18
16
67
21
26
14
71
12
73
39
13
23
18
18
79
13
12
43
83
14
22
45
32
17
89
13
20
27
34
49
24
13
97
16
17
14
101
22
103
19
15
55
107
13
109
18
40
15
113
24
Prime
a0(NO.)
X
X
X
X
X
X
X
X
X
X
X
X
X
215
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
Question:
Question How many of the numbers in the sum of the
prime factors of the number of ayats of the surahs are prime
numbersandhowmanyofthemarenot?
Inordertogiveananswertothisquestion,weshouldhave
toconstitutethesetwosets:
The set of surahs with prime a0
(number of ayats)
The set of surahs with non-prime a0
(number of ayats)
Thesetofsurahswithprimea
Thesetofsurahswithprimea0(numberofayats)
(numberofayats)
Surah
a0(Ayat)
Ayat)
Surah
a0(Ayat)
Ayat)
Al-Fāti@a
Al-Nisā
Al-En‘ām
Al-Anfāl
Yūnus
Al-Ra‘d
Ibrāhīm
Al-Nijr
Al-Mu’minūn
Al-Shu‘arā
Al-QaEaE
Luqmān
Al-A@zāb
Saba
FāIir
Yāsīn
Sād
Al-Zumar
FuEEilat
7
19
19
13
109
43
17
17
61
227
17
19
73
11
11
83
17
13
11
Al-Munāfiqūn
Al-Malāq
Al-Ta@rīm
Al-Qalam
Al-Nāqqah
Nū@
Al-Jinn
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Naba’
Al-Takwīr
Al-InfiIār
Al-Burūj
Al-Māriq
Al-A‘lā
Al-Qu@a
Al-‘Alaq
Al-Qadr
11
7
7
17
17
11
11
13
11
31
11
29
19
13
17
19
11
19
5
216
SumofthePrimeFactors
Al-Shūrā
Al-Zukhruf
Al-Dukhān
Al-Jāthiyah
Al-Fat@
Qāf
Al-Wāqi‘ah
Al-Nadīd
Al-Mujādalah
Al-Mumta@inah
Al-Jumu‘ah
53
89
59
37
29
11
13
29
13
13
11
Al-‘Ādiyāt
Al-Qāri‘ah
Al-‘Asr
Al-Fīl
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-NaEr
Tabbat
Al-Falaq
Al-Nās
11
11
3
5
7
3
5
3
5
5
5
List-106
IfwecountthemembersoftheList-106,wefindthatthe
totalmembersofthissetare60
60.
60
Thesetofsurahswithnon
Thesetofsurahswithnonnon-primea
primea0(numberofayats)
(numberofayats)
XXX
Surah
a0(Ayat)
Ayat)
Surah
a0(Ayat)
Ayat)
Al-Baqarah
Āl‘Imrān
Al-Māidah
Al-A‘rāf
Al-Tawbah
Hūd
Yūsuf
Al-Na@l
Al-’Isrā
Al-Kahf
Maryam
Māhā
Al-Anbiyā
Al-Najj
Al-Nūr
26
16
14
105
46
44
40
14
40
18
16
14
15
18
12
Al-Najm
Al-Qamar
Al-Ra@mān
Al-Nashr
Al-Saff
Al-Taghābun
Al-Mulk
Al-Ma‘ārij
Al-Muzzammil
Al-Mursalāt
Al-Nāzi‘āt
‘Abasa
Al-MuIaffifīn
Al-Inshiqāq
Al-Ghāshiyah
33
16
18
9
9
8
10
15
9
12
25
12
10
10
15
217
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
Al-Furqān
Al-Naml
Al-‘Ankabūt
Al-Rūm
Al-Sajdah
Al-Saffāt
Al-Mu’min
Al-A@qāf
Mu@ammad
Al-Nujurāt
Al-Dhāriyāt
Al-Mūr
18
34
26
12
10
22
22
12
21
8
12
14
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Inshirā@
Al-Tīn
Al-Bayyinah
Al-Zilzāl
Al-Takāthur
Al-Humaza
Quraysh
Al-IkhlāE
10
9
8
10
6
6
6
6
6
6
4
4
List-107
IfwecountthemembersoftheList-107,wefindthatthe
totalmembersofthissetare54
54.
54
Thetotalnumber
ofsurahs
114
60
Thenumberof
surahswithprime
a0(numberof
ayats)
54
Thenumberof
surahswithnonprimea0(number
ofayats)
Figure-22Thedistributionofthesurahswithprimeandnon-primenumberina0
(numberofayats)isseen.
Evaluation
As you can remember, the number of ayats of the 114 surahs consists of
60 even and 54 odd numbers. Now, the same sharing occurs as prime and nonprime numbers in the sum of the prime factors of the number of ayats!!!
Let’sseetheresultswhichoutcomecollectively:
218
SumofthePrimeFactors
7
26
16
19
14
19
105
13
46
109
44
40
43
17
17
14
40
18
16
14
15
18
61
12
18
227
34
17
26
12
19
10
73
11
11
83
22
17
13
22
11
53
89
59
37
12
21
29
8
11
12
14
33
16
18
13
29
13
9
13
9
11
11
8
7
7
10
17
17
15
11
11
9
13
11
31
12
11
25
12
29
19
10
10
13
17
19
15
10
9
8
10
11
6
6
19
5
6
6
11
11
6
3
6
5
4
7
3
5
3
5
4
5
5
Surahs With Prime a0(number of ayats)
Surahs With Even Number of Ayats
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
60 60
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
Inthefigure,equaldistributionofthesurahswithevennumberofayatsandthesurahswithprimea0(numberofayats)isshown.
a0(Ayat)
s y m m e t r y
Al-Fātiḥa
Al-Baqarah
Āl ‘Imrān
Al-Nisā
Al-Māidah
Al-En‘ām
Al-A‘rāf
Al-Anfāl
Al-Tawbah
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Ibrāhīm
Al-Ḥijr
Al-Naḥl
Al-’Isrā
Al-Kahf
Maryam
Ṭāhā
Al -An biyā
Al-Ḥajj
Al-Mu’minūn
Al-Nūr
Al-Furqān
Al-Shu‘arā
Al-Naml
Al-Qaṣaṣ
Al-‘Ankabūt
Al-Rūm
Luqmān
Al-Sajdah
Al-Aḥzāb
Saba
Fāṭir
Yāsīn
Al-Ṣaffāt
Ṣād
Al-Zumar
Al-Mu’min
Fuṣṣilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
A l-Jāthi yah
Al-Aḥqāf
Muḥammad
Al-Fatḥ
Al-Ḥujurāt
Qāf
A l-Dhā ri yāt
Al-Ṭūr
Al-Najm
Al-Qamar
Al-Raḥmān
Al-Wāqi‘ah
Al-Ḥadīd
Al-Mujādalah
Al-Ḥashr
Al-Mumtaḥinah
Al-Ṣaff
Al-Jumu‘ah
Al-Munāfiqūn
Al-Taghābun
Al-Ṭalāq
Al-Taḥrīm
Al-Mulk
Al-Qalam
Al-Ḥāqqah
Al-Ma‘ārij
Nūḥ
Al-Jinn
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Mursalāt
A l - N a b a’
Al-Nāzi‘āt
‘A b a s a
Al-Takwīr
Al-Infiṭār
Al-Muṭaffifīn
Al-Inshiqāq
Al-Burūj
Al-Ṭāriq
Al-A‘lā
Al-G hāshi yah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Ḍuḥa
Al-Inshirāḥ
Al-Tīn
Al-‘Alaq
Al-Qadr
Al -B ayyinah
Al-Zilzāl
Al-‘Ādiyāt
A l - Q ā r i ‘a h
Al-Takāthur
A l - ‘A s r
Al-Hum aza
Al-Fīl
Quraysh
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-Naṣr
Tabbat
Al-Ikhlāṣ
Al-Falaq
A l - N ā s
o f
SURAH
7
286
200
176
120
165
206
75
129
109
123
111
43
52
99
128
111
110
98
135
112
78
118
64
77
227
93
88
69
60
34
30
73
54
45
83
182
88
75
85
54
53
89
59
37
35
38
29
18
45
60
49
62
55
78
96
29
22
24
13
14
11
11
18
12
12
30
52
52
44
28
28
20
56
40
31
50
40
46
42
29
19
36
25
22
17
19
26
30
20
15
21
11
8
8
19
5
8
8
11
11
8
3
9
5
4
7
3
6
3
5
4
5
6
a x i s
Ayat
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
219
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
220
7
26
16
19
14
19
105
13
46
109
44
40
43
17
17
14
40
18
16
14
15
18
61
12
18
227
34
17
26
12
19
10
73
11
11
83
22
17
13
22
11
53
89
59
37
12
21
29
8
11
12
14
33
16
18
13
29
13
9
13
9
11
11
8
7
7
10
17
17
15
11
11
9
13
11
31
12
11
25
12
29
19
10
10
13
17
19
15
10
9
8
10
11
6
6
19
5
6
6
11
11
6
3
6
5
4
7
3
5
3
5
4
5
5
Surahs With Non-Prime a0(number of ayats)
Surahs With Odd Number of Ayats
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
54 54
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
Inthefigure,equaldistributionofthesurahswithoddnumberofayatsandthesurahswithnon-primea0(numberofayats)isshown.
a0(Ayat)
s y m m e t r y
Al-Fātiḥa
Al-Baqarah
Āl ‘Imrān
Al-Nisā
Al-Māidah
Al-En‘ām
Al-A‘rāf
Al-Anfāl
Al-Tawbah
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Ibrāhīm
Al-Ḥijr
Al-Naḥl
Al-’Isrā
Al-Kahf
Maryam
Ṭāhā
Al -An biyā
Al-Ḥajj
Al-Mu’minūn
Al-Nūr
Al-Furqān
Al-Shu‘arā
Al-Naml
Al-Qaṣaṣ
Al-‘Ankabūt
Al-Rūm
Luqmān
Al-Sajdah
Al-Aḥzāb
Saba
Fāṭir
Yāsīn
Al-Ṣaffāt
Ṣād
Al-Zumar
Al-Mu’min
Fuṣṣilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
A l-Jāthi yah
Al-Aḥqāf
Muḥammad
Al-Fatḥ
Al-Ḥujurāt
Qāf
A l-Dhā ri yāt
Al-Ṭūr
Al-Najm
Al-Qamar
Al-Raḥmān
Al-Wāqi‘ah
Al-Ḥadīd
Al-Mujādalah
Al-Ḥashr
Al-Mumtaḥinah
Al-Ṣaff
Al-Jumu‘ah
Al-Munāfiqūn
Al-Taghābun
Al-Ṭalāq
Al-Taḥrīm
Al-Mulk
Al-Qalam
Al-Ḥāqqah
Al-Ma‘ārij
Nūḥ
Al-Jinn
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Mursalāt
A l - N a b a’
Al-Nāzi‘āt
‘A b a s a
Al-Takwīr
Al-Infiṭār
Al-Muṭaffifīn
Al-Inshiqāq
Al-Burūj
Al-Ṭāriq
Al-A‘lā
Al-G hāshi yah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Ḍuḥa
Al-Inshirāḥ
Al-Tīn
Al-‘Alaq
Al-Qadr
Al -B ayyinah
Al-Zilzāl
Al-‘Ādiyāt
A l - Q ā r i ‘a h
Al-Takāthur
A l - ‘A s r
Al-Hum aza
Al-Fīl
Quraysh
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-Naṣr
Tabbat
Al-Ikhlāṣ
Al-Falaq
A l - N ā s
o f
SURAH
7
286
200
176
120
165
206
75
129
109
123
111
43
52
99
128
111
110
98
135
112
78
118
64
77
227
93
88
69
60
34
30
73
54
45
83
182
88
75
85
54
53
89
59
37
35
38
29
18
45
60
49
62
55
78
96
29
22
24
13
14
11
11
18
12
12
30
52
52
44
28
28
20
56
40
31
50
40
46
42
29
19
36
25
22
17
19
26
30
20
15
21
11
8
8
19
5
8
8
11
11
8
3
9
5
4
7
3
6
3
5
4
5
6
a x i s
Ayat
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
SumofthePrimeFactors
Thesurahswhichtakeplaceinthefi
Thesurahswhichtakeplaceinthefirsthalfofthe
firsthalfofthe
Qur’ānwithaprimenumberof
Qur’ānwithaprimenumberofa
withaprimenumberofa0(numberofayats)
(numberofayats)
Surah
Surah
Al-Fāti@a
Al-Nisā
Al-En‘ām
Al-Anfāl
Yūnus
Al-Ra‘d
Ibrāhīm
Al-Nijr
Al-Mu’minūn
Al-Shu‘arā
Al-QaEaE
Luqmān
Al-A@zāb
Saba
a0(Ayat)
Ayat) XXX
7
19
19
13
109
43
17
17
61
227
17
19
73
11
Surah
Surah
a0(Ayat)
Ayat)
FāIir
Yāsīn
Sād
Al-Zumar
FuEEilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
Al-Jāthiyah
Al-Fat@
Qāf
Al-Wāqi‘ah
Al-Nadīd
11
83
17
13
11
53
89
59
37
29
11
13
29
List-108
Thereare27
27surahsinList-108
27
Thesurahswhichtakeplaceinthe
Thesurahswhichtakeplaceinthefirsthalfofthe
eplaceinthefirsthalfofthe
Qur’ānwithanevennumberofayats
Qur’ānwithanevennumberofayats
anevennumberofayats
Surah
Surah
Al-Baqarah
Āl‘Imrān
Al-Nisā
Al-Māidah
Al-A‘rāf
Ibrāhīm
Al-Na@l
Al-Kahf
XXXXXXXX
Ayat
Ayat
286
200
176
120
206
52
128
110
Surah
Surah
Ayat
Al-Rūm
Luqmān
Al-Sajdah
Saba
Al-Saffāt
Sād
FuEEilat
Mu@ammad
60
34
30
54
182
88
54
38
221
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
Maryam
Al-Anbiyā
Al-Najj
Al-Mu’minūn
Al-Nūr
Al-QaEaE
98
112
78
118
64
88
18
60
62
78
96
Al-Nujurāt
Al-Dhāriyāt
Al-Najm
Al-Ra@mān
Al-Wāqi‘ah
List-109
Thereare27
27surahsinList-109
27
Thesurahswhichtakeplaceinthe
Thesurahswhichtakeplaceinthesecond
surahswhichtakeplaceinthesecondhalfofthe
secondhalfofthe
Qur’ānwithaprimenumberof
Qur’ānwithaprimenumberofa
withaprimenumberofa0(numberofayats)
(numberofayats)
Surah
Surah
Al-Mujādalah
Al-Mumta@inah
Al-Jumu‘ah
Al-Munāfiqūn
Al-Malāq
Al-Ta@rīm
Al-Qalam
Al-Nāqqah
Nū@
Al-Jinn
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Naba’
Al-Takwīr
Al-InfiIār
Al-Burūj
XXX
a0(Ayat)
Ayat)
13
13
11
11
7
7
17
17
11
11
13
11
31
11
29
19
13
Surah
Surah
a0(Ayat)
Ayat)
Al-Māriq
Al-A‘lā
Al-Qu@a
Al-‘Alaq
Al-Qadr
Al-‘Ādiyāt
Al-Qāri‘ah
Al-‘Asr
Al-Fīl
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-NaEr
Tabbat
Al-Falaq
Al-Nās
17
19
11
19
5
11
11
3
5
7
3
5
3
5
5
5
List-110
Thereare33
33surahsinList-110
33
222
SumofthePrimeFactors
Thesurahswhichtakeplaceinthesecond
Thesurahswhichtakeplaceinthesecondhalfofthe
secondhalfofthe
Qur’ānwithanevennumberofayats
Qur’ānwithanevennumberofayats
anevennumberofayats
Surah
Surah
Al-Mujādalah
Al-Nashr
Al-Saff
Al-Taghābun
Al-Malāq
Al-Ta@rīm
Al-Mulk
Al-Qalam
Al-Nāqqah
Al-Ma‘ārij
Nū@
Al-Jinn
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Mursalāt
Al-Naba’
Ayat
Ayat XXXXXX
22
24
14
18
12
12
30
52
52
44
28
28
20
56
40
50
40
Surah
Surah
Ayat
Al-Nāzi‘āt
‘Abasa
Al-MuIaffifīn
Al-Burūj
Al-Ghāshiyah
Al-Fajr
Al-Balad
Al-Inshirā@
Al-Tīn
Al-Bayyinah
Al-Zilzāl
Al-Takāthur
Quraysh
Al-Kāfirūn
Al-IkhlāE
Al-Nās
46
42
36
22
26
30
20
8
8
8
8
8
4
6
4
6
List-111
Thereare33
33surahsinList-111
33
Evaluation
We see above that the number of surahs with a prime number of a0 (the
number of ayats) is equal to the number of surahs with an even number of ayats.
Now we observe that these two surah sets with equal number of members, take
place in both the first and the second half of Holy Qur’an in equal numbers!
Let’sseetheresultswhichoutcomecollectively:
223
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
22
24
13
14
11
11
18
12
12
30
52
52
44
28
28
20
56
40
31
50
40
46
42
29
19
36
25
22
17
19
26
30
20
15
21
11
8
8
19
5
8
8
11
11
8
3
9
5
4
7
3
6
3
5
4
5
6
Al-Mujādalah
Al-Ḥashr
Al-Mumtaḥinah
Al-Ṣaff
Al-Jumu‘ah
Al-Munāfiqūn
Al-Taghābun
Al-Ṭalāq
Al-Taḥrīm
Al-Mulk
Al-Qalam
Al-Ḥāqqah
Al-Ma‘ārij
Nūḥ
Al-Jinn
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Mursalāt
A l - N a b a’
Al-Nāzi‘āt
‘A b a s a
Al-Takwīr
Al-Infiṭār
Al-Muṭaffifīn
Al-Inshiqāq
Al-Burūj
Al-Ṭāriq
Al-A‘lā
Al-Ghāshiyah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Ḍuḥa
Al-Inshirāḥ
Al-Tīn
Al-‘Alaq
Al-Qadr
Al-Bayyinah
Al-Z ilzāl
Al-‘Ādiyāt
A l - Q ā r i ‘a h
Al-Takāthur
A l - ‘A s r
Al-Humaza
Al-Fīl
Quraysh
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-Naṣr
Tabbat
Al-Ikhlāṣ
Al-Falaq
A l - N ā s
13
9
13
9
11
11
8
7
7
10
17
17
15
11
11
9
13
11
31
12
11
25
12
29
19
10
10
13
17
19
15
10
9
8
10
11
6
6
19
5
6
6
11
11
6
3
6
5
4
7
3
5
3
5
4
5
5
224
Surahs With Prime a0(number of ayats)
Surahs With Even Number of Ayats
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
27 27
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
33 33
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
Inthefigure,equaldistributionofthesurahswithevennumberofayatsandthesurahswithprimea0(numberofayats)tothefirstandsecondhalfoftheQur'anisshown.
7
26
16
19
14
19
105
13
46
109
44
40
43
17
17
14
40
18
16
14
15
18
61
12
18
227
34
17
26
12
19
10
73
11
11
83
22
17
13
22
11
53
89
59
37
12
21
29
8
11
12
14
33
16
18
13
29
s y m m e t r y
Al-Fātiḥa
Al-Baqarah
Āl ‘Imrān
Al-Nisā
Al-Māidah
Al-En‘ām
Al-A‘rāf
Al-Anfāl
Al-Tawbah
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Ibrāhīm
Al-Ḥijr
Al-Naḥl
Al-’Isrā
Al-Kahf
Maryam
Ṭāhā
Al-Anbiyā
Al-Ḥajj
Al-Mu’minūn
Al-Nūr
Al-Furqān
Al-Shu‘arā
Al-Naml
Al-Qaṣaṣ
Al-‘Ankabūt
Al-Rūm
Luqmān
Al-Sajdah
Al-Aḥzāb
Saba
Fāṭir
Yāsīn
Al-Ṣaffāt
Ṣād
Al-Zumar
Al-Mu’min
Fuṣṣilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
Al-Jāthiyah
Al-Aḥqāf
Muḥammad
Al-Fatḥ
Al-Ḥujurāt
Qāf
Al-Dhāriyāt
Al-Ṭūr
Al-Najm
Al-Qamar
Al-Raḥmān
Al-W āqi‘ah
Al-Ḥadīd
o f
SURAH
7
286
200
176
120
165
206
75
129
109
123
111
43
52
99
128
111
110
98
135
112
78
118
64
77
227
93
88
69
60
34
30
73
54
45
83
182
88
75
85
54
53
89
59
37
35
38
29
18
45
60
49
62
55
78
96
29
a x i s
a0(Ayat)
Ayat
X
X
X
X
X
X
X
X
X
X
X
X
X
X
SumofthePrimeFactors
Thesurahswhichtakeplaceinthefirsthalfofthe
Thesurahswhichtakeplaceinthefirsthalfofthe
Qur’ānwitha
Qur’ānwithanon
withanonnon-primenumberofa
primenumberofa0(numberof
ayats)
ayats)
Surah
Surah
Al-Baqarah
Āl‘Imrān
Al-Māidah
Al-A‘rāf
Al-Tawbah
Hūd
Yūsuf
Al-Na@l
Al-’Isrā
Al-Kahf
Maryam
Māhā
Al-Anbiyā
Al-Najj
Al-Nūr
XXXXX
a0(Ayat)
Ayat)
26
16
14
105
46
44
40
14
40
18
16
14
15
18
12
Surah
Surah
a0(Ayat)
Ayat)
Al-Furqān
Al-Naml
Al-‘Ankabūt
Al-Rūm
Al-Sajdah
Al-Saffāt
Al-Mu’min
Al-A@qāf
Mu@ammad
Al-Nujurāt
Al-Dhāriyāt
Al-Mūr
Al-Najm
Al-Qamar
Al-Ra@mān
18
34
26
12
10
22
22
12
21
8
12
14
33
16
18
List-112
Thereare30
30surahsinList-112
30
Thesurahswhichtakeplaceinthefirsthalfofthe
Thesurahswhichtakeplaceinthefirsthalfofthe
Qur’ānwithan
Qur’ānwithanodd
anoddnumberofayats
oddnumberofayats
numberofayats
Surah
Surah
Al-Fāti@a
Al-En‘ām
Al-Anfāl
Al-Tawbah
XXXXXXXXXX
Ayat
Ayat
7
165
75
129
Surah
Surah
Ayat
Al-A@zāb
FāIir
Yāsīn
Al-Zumar
73
45
83
75
225
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Al-Nijr
Al-’Isrā
Māhā
Al-Furqān
Al-Shu‘arā
Al-Naml
Al-‘Ankabūt
109
123
111
43
99
111
135
77
227
93
69
Al-Mu’min
Al-Shūrā
Al-Zukhruf
Al-Dukhān
Al-Jāthiyah
Al-A@qāf
Al-Fat@
Qāf
Al-Mūr
Al-Qamar
Al-Nadīd
85
53
89
59
37
35
29
45
49
55
29
List-113
Thereare30
30surahsinList-113
30
Thesurahswhichtakeplaceinthesecond
Thesurahswhichtakeplaceinthesecondhalfofthe
secondhalfofthe
Qur’ānwith
Qur’ānwitha
withanon
anonnon-primenumberofa
primenumberofa0(numberof
ayats)
ayats)
Surah
Surah
Al-Nashr
Al-Saff
Al-Taghābun
Al-Mulk
Al-Ma‘ārij
Al-Muzzammil
Al-Mursalāt
Al-Nāzi‘āt
‘Abasa
Al-MuIaffifīn
Al-Inshiqāq
Al-Ghāshiyah
XXX
a0(Ayat)
Ayat)
9
9
8
10
15
9
12
25
12
10
10
15
Surah
Surah
a0(Ayat)
Ayat)
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Inshirā@
Al-Tīn
Al-Bayyinah
Al-Zilzāl
Al-Takāthur
Al-Humaza
Quraysh
Al-IkhlāE
10
9
8
10
6
6
6
6
6
6
4
4
List-114
Thereare24
24surahsinList-114
24
226
SumofthePrimeFactors
Thesurahswhichtakeplaceinthesecond
Thesurahswhichtakeplaceinthesecondhalfofthe
secondhalfofthe
Qur’ānwith
Qur’ānwithan
’ānwithanodd
anoddnumberofayats
oddnumberofayats
numberofayats
Surah
Surah
Al-Mumta@inah
Al-Jumu‘ah
Al-Munāfiqūn
Al-Insān
Al-Takwīr
Al-InfiIār
Al-Inshiqāq
Al-Māriq
Al-A‘lā
Al-Shams
Al-Layl
Al-Qu@a
Ayat
Ayat XXXXXXXX
13
11
11
31
29
19
25
17
19
15
21
11
Surah
Surah
Ayat
Al-‘Alaq
Al-Qadr
Al-‘Ādiyāt
Al-Qāri‘ah
Al-‘Asr
Al-Humaza
Al-Fīl
Al-Mā‘ūn
Al-Kawthar
Al-NaEr
Tabbat
Al-Falaq
19
5
11
11
3
9
5
7
3
3
5
5
List-115
Thereare24
24surahsinList-115
24
Evaluation
We see above that the number of surahs with a non-prime number of
a0(the number of ayats) is equal to the number of surahs with an odd number of
ayats. Now we observe that these two surah sets with equal number of members,
take place in both the first and the second half of Holy Qur’an in equal numbers!
Let’sseetheresultswhichoutcomecollectively:
227
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
22
24
13
14
11
11
18
12
12
30
52
52
44
28
28
20
56
40
31
50
40
46
42
29
19
36
25
22
17
19
26
30
20
15
21
11
8
8
19
5
8
8
11
11
8
3
9
5
4
7
3
6
3
5
4
5
6
Al-Mujādalah
Al-Ḥashr
Al-Mumtaḥinah
Al-Ṣaff
Al-Jumu‘ah
Al-Munāfiqūn
Al-Taghābun
Al-Ṭalāq
Al-Taḥrīm
Al-Mulk
Al-Qalam
Al-Ḥāqqah
Al-Ma‘ārij
Nūḥ
Al-Jinn
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Mursalāt
A l - N a b a’
Al-Nāzi‘āt
‘A b a s a
Al-Takwīr
Al-Infiṭār
Al-Muṭaffifīn
Al-Inshiqāq
Al-Burūj
Al-Ṭāriq
Al-A‘lā
Al-Ghāshiyah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Ḍuḥa
Al-Inshirāḥ
Al-Tīn
Al-‘Alaq
Al-Qadr
Al-Bayyinah
Al-Z ilzāl
Al-‘Ādiyāt
A l - Q ā r i ‘a h
Al-Takāthur
A l - ‘A s r
Al-Humaza
Al-Fīl
Quraysh
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-Naṣr
Tabbat
Al-Ikhlāṣ
Al-Falaq
A l - N ā s
13
9
13
9
11
11
8
7
7
10
17
17
15
11
11
9
13
11
31
12
11
25
12
29
19
10
10
13
17
19
15
10
9
8
10
11
6
6
19
5
6
6
11
11
6
3
6
5
4
7
3
5
3
5
4
5
5
228
Surahs With Non-Prime a0(number of ayats)
Surahs With Odd Number of Ayats
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
30 30
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
24 24
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
Inthefigure,equaldistributionofthesurahswithoddnumberofayatsandthesurahswithnon-primea0(numberofayats)tothefirstandsecondhalfoftheQur'anisshown.
7
26
16
19
14
19
105
13
46
109
44
40
43
17
17
14
40
18
16
14
15
18
61
12
18
227
34
17
26
12
19
10
73
11
11
83
22
17
13
22
11
53
89
59
37
12
21
29
8
11
12
14
33
16
18
13
29
s y m m e t r y
Al-Fātiḥa
Al-Baqarah
Āl ‘Imrān
Al-Nisā
Al-Māidah
Al-En‘ām
Al-A‘rāf
Al-Anfāl
Al-Tawbah
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Ibrāhīm
Al-Ḥijr
Al-Naḥl
Al-’Isrā
Al-Kahf
Maryam
Ṭāhā
Al-Anbiyā
Al-Ḥajj
Al-Mu’minūn
Al-Nūr
Al-Furqān
Al-Shu‘arā
Al-Naml
Al-Qaṣaṣ
Al-‘Ankabūt
Al-Rūm
Luqmān
Al-Sajdah
Al-Aḥzāb
Saba
Fāṭir
Yāsīn
Al-Ṣaffāt
Ṣād
Al-Zumar
Al-Mu’min
Fuṣṣilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
Al-Jāthiyah
Al-Aḥqāf
Muḥammad
Al-Fatḥ
Al-Ḥujurāt
Qāf
Al-Dhāriyāt
Al-Ṭūr
Al-Najm
Al-Qamar
Al-Raḥmān
Al-W āqi‘ah
Al-Ḥadīd
o f
SURAH
7
286
200
176
120
165
206
75
129
109
123
111
43
52
99
128
111
110
98
135
112
78
118
64
77
227
93
88
69
60
34
30
73
54
45
83
182
88
75
85
54
53
89
59
37
35
38
29
18
45
60
49
62
55
78
96
29
a x i s
a0(Ayat)
Ayat
X
X
X
X
X
X
X
X
X
X
X
X
SumofthePrimeFactors
Question:whenweconsiderthesumoftheprimefactors
Question
ofthesequencenumbersofthesurahs,andthesumoftheprime
factors of the number of ayats, how many of them are
homogeneousandhowmanyofthemarenon-homogeneouswith
respecttobeingaprimenumber?
Inordertogiveananswertothisquestion,weshouldhave
toconstitutethesetwosets:
The set of homogeneous surahs with
respect to a0 (sequence number) and a0
(number of ayats) being as prime numbers
The set of non-homogeneous surahs
with respect to a0 (sequence number) and a0
(number of ayats) being as prime numbers
Thesetofhomogeneous
Thesetofhomogeneoussurahswithrespectto
homogeneoussurahswithrespecttoa
surahswithrespecttoa0
(sequencenumber)anda
(sequencenumber)anda0(numberofayats)beingas
primenumbers
primenumbers
a0(No.)
1
Surah
Al-Fāti@a
a0(Ayat)
a0(No.)
Surah
7
a0(Ayat)
AlMujādalah
AlMunāfiqūn
AlTaghābun
Al-Ma‘ārij
Nū@
AlQiyāmah
Al-Insān
AlMursalāt
5
Al-En‘ām
19
31
13
6
Al-Tawbah
46
13
7
Yūnus
109
12
13
8
Al-Ra‘d
Al-Na@l
43
14
14
71
8
Al-Kahf
18
13
9
Māhā
14
23
10
Al-Anbiyā
15
18
23
AlMu’minūn
61
43
Al-InfiIār
19
9
Al-Nūr
12
14
AlInshiqāq
10
11
8
15
11
11
31
12
229
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
10
9
Al-Furqān
Al-Naml
18
34
20
27
11
Al-QaEaE
17
49
10
31
10
Al-Rūm
Luqmān
Al-Sajdah
12
19
10
24
13
97
19
Saba
11
16
41
FuEEilat
11
101
43
Al-Zukhruf
89
22
11
25
11
Al-Jāthiyah
Al-A@qāf
Al-Fat@
37
12
29
103
55
107
14
Al-Nujurāt
8
13
20
16
13
Al-Dhāriyāt
Al-Ra@mān
Al-Wāqi‘ah
12
18
13
109
15
113
List-116
Al-Shams
Al-Layl
AlInshirā@
Al-Tīn
Al-‘Alaq
Al-Qadr
AlBayyinah
Al-Qāri‘ah
AlTakāthur
Al-‘Asr
Quraysh
Al-Mā‘ūn
AlKawthar
Al-Kāfirūn
Al-IkhlāE
Al-Falaq
8
10
6
6
19
5
6
11
6
3
4
7
3
5
4
5
IfwecountthemembersoftheList-116,wefindthatthe
totalmembersofthissetare53.
53isaprimenumber!
53
Thesetofnon
Thesetofnonnon-homogeneoussurahswithrespectto
homogeneoussurahswithrespecttoa
surahswithrespecttoa0
(sequencenumber)anda
(sequencenumber)anda0(numberofayats)beingas
primenumbers
primenumbers
a0(No.)
Surah
a0(Ayat)
a0(No.)
2
Al-Baqarah
26
12
3
4
5
7
6
Āl‘Imrān
Al-Nisā
Al-Māidah
Al-A‘rāf
Al-Anfāl
16
19
14
105
13
61
33
18
16
67
230
Surah
AlMumta@inah
Al-Saff
Al-Jumu‘ah
Al-Malāq
Al-Ta@rīm
Al-Mulk
a0(Ayat)
13
9
11
7
7
10
SumofthePrimeFactors
11
7
9
Hūd
Yūsuf
Ibrāhīm
44
40
17
21
26
12
17
17
11
18
79
13
Al-Qalam
Al-Nāqqah
Al-Jinn
AlMuzzammil
AlMuddaththir
Al-Naba’
Al-Nāzi‘āt
‘Abasa
8
Al-Nijr
17
73
17
Al-’Isrā
40
39
19
13
15
Maryam
Al-Najj
Al-Shu‘arā
Al‘Ankabūt
16
18
227
26
12
Al-Takwīr
29
14
Al-A@zāb
73
83
12
10
21
FāIir
Yāsīn
Sād
11
83
17
22
45
32
16
Al-Zumar
13
17
37
11
12
15
47
12
17
53
11
22
59
Al-Saffāt
Al-Mu’min
Al-Shūrā
Al-Dukhān
Mu@ammad
Qāf
Al-Mūr
Al-Najm
Al-Qamar
Al-Nadīd
Al-Nashr
22
22
53
59
21
11
14
33
16
29
9
89
13
34
17
14
19
15
18
40
24
29
AlMuIaffifīn
Al-Burūj
Al-Māriq
Al-A‘lā
AlGhāshiyah
Al-Fajr
Al-Balad
Al-Qu@a
Al-Zilzāl
Al-‘Ādiyāt
Al-Humaza
Al-Fīl
Al-NaEr
Tabbat
Al-Nās
9
13
11
25
12
10
13
17
19
15
10
9
11
6
11
6
5
3
5
5
List-117
IfwecountthemembersoftheList-116,wefindthatthe
totalmembersofthissetare61.
61isalsoaprimenumber!
61
231
BinarySymmetricBook dr.eng.halisaydemir
www.symmetricbook.com
232
7
26
16
19
14
19
105
13
46
109
44
40
43
17
17
14
40
18
16
14
15
18
61
12
18
227
34
17
26
12
19
10
73
11
11
83
22
17
13
22
11
53
89
59
37
12
21
29
8
11
12
14
33
16
18
13
29
13
9
13
9
11
11
8
7
7
10
17
17
15
11
11
9
13
11
31
12
11
25
12
29
19
10
10
13
17
19
15
10
9
8
10
11
6
6
19
5
6
6
11
11
6
3
6
5
4
7
3
5
3
5
4
5
5
HOMOGENOUS SURAHS
NON-HOMOGENOUS SURAHS
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
53 61
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
In the figure, (prime-prime) distribution of the homogenous and non-homogenous surahs is shown.
a0(Ayat)
s y m m e t r y
Al-Fātiḥa
Al-Baqarah
Āl ‘Imrān
Al-Nisā
Al-Māidah
Al-En‘ām
Al-A‘rāf
Al-Anfāl
Al-Tawbah
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Ibrāhīm
Al-Ḥijr
Al-Naḥl
Al-’Isrā
Al-Kahf
Maryam
Ṭāhā
Al-An biyā
Al-Ḥajj
Al-Mu’minūn
Al-Nūr
Al-Furqān
Al-Shu‘arā
Al-Naml
Al-Qaṣaṣ
Al-‘Ankabūt
Al-Rūm
Luqmān
Al-Sajdah
Al-Aḥzāb
Saba
Fāṭir
Yāsīn
Al-Ṣaffāt
Ṣād
Al-Zumar
Al-Mu’min
Fuṣṣilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
A l-Jāthiyah
Al-Aḥqāf
Muḥammad
Al-Fatḥ
Al-Ḥujurāt
Qāf
A l-Dhā riyāt
Al-Ṭūr
Al-Najm
Al-Qamar
Al-Raḥmān
Al-W āqi‘ah
Al-Ḥadīd
Al-Mujādalah
Al-Ḥashr
Al-Mumtaḥinah
Al-Ṣaff
Al-Jumu‘ah
Al-Munāfiqūn
Al-Taghābun
Al-Ṭalāq
Al-Taḥrīm
Al-Mulk
Al-Qalam
Al-Ḥāqqah
Al-Ma‘ārij
Nūḥ
Al-Jinn
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Mursalāt
A l - N a b a’
Al-Nāzi‘āt
‘A b a s a
Al-Takwīr
Al-Infiṭār
Al-Muṭaffifīn
Al-Inshiqāq
Al-Burūj
Al-Ṭāriq
Al-A‘lā
Al-G hāshiyah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Ḍuḥa
Al-Inshirāḥ
Al-Tīn
Al-‘Alaq
Al-Qadr
Al-B ayyinah
Al-Zilzāl
Al-‘Ādiyāt
A l - Q ā r i ‘a h
Al-Takāthur
A l - ‘A s r
Al-Hum aza
Al-Fīl
Quraysh
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-Naṣr
Tabbat
Al-Ikhlāṣ
Al-Falaq
A l - N ā s
o f
1
2
3
4
5
5
7
6
6
7
11
7
13
9
8
8
17
8
19
9
10
13
23
9
10
15
9
11
29
10
31
10
14
19
12
10
37
21
16
11
41
12
43
15
11
25
47
11
14
12
20
17
53
11
16
13
22
31
59
12
61
33
13
12
18
16
67
21
26
14
71
12
73
39
13
23
18
18
79
13
12
43
83
14
22
45
32
17
89
13
20
27
34
49
24
13
97
16
17
14
101
22
103
19
15
55
107
13
109
18
40
15
113
24
a x i s
SURAH
a0(NO.)
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
SumofthePrimeFactors
HOMOGENOUS SURAHS
NON-HOMOGENOUS SURAHS
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
In the figure, (prime-prime) distribution of the homogenous and non-homogenous surahs is shown.
X
X
X
Prime
7
26
16
19
14
19
105
13
46
109
44
40
43
17
17
14
40
18
16
14
15
18
61
12
18
227
34
17
26
12
19
10
73
11
11
83
22
17
13
22
11
53
89
59
37
12
21
29
8
11
12
14
33
16
18
13
29
13
9
13
9
11
11
8
7
7
10
17
17
15
11
11
9
13
11
31
12
11
25
12
29
19
10
10
13
17
19
15
10
9
8
10
11
6
6
19
5
6
6
11
11
6
3
6
5
4
7
3
5
3
5
4
5
5
s y m m e t r y
a0(Ayat)
o f
SURAH
Al-Fātiḥa
Al-Baqarah
Āl ‘Imrān
Al-Nisā
Al-Māidah
Al-En‘ām
Al-A‘rāf
Al-Anfāl
Al-Tawbah
Yūnus
Hūd
Yūsuf
Al-Ra‘d
Ibrāhīm
Al-Ḥijr
Al-Naḥl
Al-’Isrā
Al-Kahf
Maryam
Ṭāhā
Al-An biyā
Al-Ḥajj
Al-Mu’minūn
Al-Nūr
Al-Furqān
Al-Shu‘arā
Al-Naml
Al-Qaṣaṣ
Al-‘Ankabūt
Al-Rūm
Luqmān
Al-Sajdah
Al-Aḥzāb
Saba
Fāṭir
Yāsīn
Al-Ṣaffāt
Ṣād
Al-Zumar
Al-Mu’min
Fuṣṣilat
Al-Shūrā
Al-Zukhruf
Al-Dukhān
A l-Jāthiyah
Al-Aḥqāf
Muḥammad
Al-Fatḥ
Al-Ḥujurāt
Qāf
A l-Dhā riyāt
Al-Ṭūr
Al-Najm
Al-Qamar
Al-Raḥmān
Al-W āqi‘ah
Al-Ḥadīd
Al-Mujādalah
Al-Ḥashr
Al-Mumtaḥinah
Al-Ṣaff
Al-Jumu‘ah
Al-Munāfiqūn
Al-Taghābun
Al-Ṭalāq
Al-Taḥrīm
Al-Mulk
Al-Qalam
Al-Ḥāqqah
Al-Ma‘ārij
Nūḥ
Al-Jinn
Al-Muzzammil
Al-Muddaththir
Al-Qiyāmah
Al-Insān
Al-Mursalāt
A l - N a b a’
Al-Nāzi‘āt
‘A b a s a
Al-Takwīr
Al-Infiṭār
Al-Muṭaffifīn
Al-Inshiqāq
Al-Burūj
Al-Ṭāriq
Al-A‘lā
Al-G hāshiyah
Al-Fajr
Al-Balad
Al-Shams
Al-Layl
Al-Ḍuḥa
Al-Inshirāḥ
Al-Tīn
Al-‘Alaq
Al-Qadr
Al-B ayyinah
Al-Zilzāl
Al-‘Ādiyāt
A l - Q ā r i ‘a h
Al-Takāthur
A l - ‘A s r
Al-Hum aza
Al-Fīl
Quraysh
Al-Mā‘ūn
Al-Kawthar
Al-Kāfirūn
Al-Naṣr
Tabbat
Al-Ikhlāṣ
Al-Falaq
A l - N ā s
a x i s
1
2
3
4
5
5
7
6
6
7
11
7
13
9
8
8
17
8
19
9
10
13
23
9
10
15
9
11
29
10
31
10
14
19
12
10
37
21
16
11
41
12
43
15
11
25
47
11
14
12
20
17
53
11
16
13
22
31
59
12
61
33
13
12
18
16
67
21
26
14
71
12
73
39
13
23
18
18
79
13
12
43
83
14
22
45
32
17
89
13
20
27
34
49
24
13
97
16
17
14
101
22
103
19
15
55
107
13
109
18
40
15
113
24
Prime
a0(NO.)
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
X
233