Topzle Topzle

List of prime numbers

Updated: 11/6/2025, 2:12:51 AM Wikipedia source

This is a list of articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes. The first 1,000 primes are listed below, followed by lists of notable types of prime numbers in alphabetical order, giving their respective first terms. The number 1 is neither prime nor composite.

Tables

· The first 1,000 prime numbers
1–20
1–20
Col 1
1–20
1
2
2
3
3
5
4
7
5
11
6
13
7
17
8
19
9
23
10
29
11
31
12
37
13
41
14
43
15
47
16
53
17
59
18
61
19
67
20
71
21–40
21–40
Col 1
21–40
1
73
2
79
3
83
4
89
5
97
6
101
7
103
8
107
9
109
10
113
11
127
12
131
13
137
14
139
15
149
16
151
17
157
18
163
19
167
20
173
41–60
41–60
Col 1
41–60
1
179
2
181
3
191
4
193
5
197
6
199
7
211
8
223
9
227
10
229
11
233
12
239
13
241
14
251
15
257
16
263
17
269
18
271
19
277
20
281
61–80
61–80
Col 1
61–80
1
283
2
293
3
307
4
311
5
313
6
317
7
331
8
337
9
347
10
349
11
353
12
359
13
367
14
373
15
379
16
383
17
389
18
397
19
401
20
409
81–100
81–100
Col 1
81–100
1
419
2
421
3
431
4
433
5
439
6
443
7
449
8
457
9
461
10
463
11
467
12
479
13
487
14
491
15
499
16
503
17
509
18
521
19
523
20
541
101–120
101–120
Col 1
101–120
1
547
2
557
3
563
4
569
5
571
6
577
7
587
8
593
9
599
10
601
11
607
12
613
13
617
14
619
15
631
16
641
17
643
18
647
19
653
20
659
121–140
121–140
Col 1
121–140
1
661
2
673
3
677
4
683
5
691
6
701
7
709
8
719
9
727
10
733
11
739
12
743
13
751
14
757
15
761
16
769
17
773
18
787
19
797
20
809
141–160
141–160
Col 1
141–160
1
811
2
821
3
823
4
827
5
829
6
839
7
853
8
857
9
859
10
863
11
877
12
881
13
883
14
887
15
907
16
911
17
919
18
929
19
937
20
941
161–180
161–180
Col 1
161–180
1
947
2
953
3
967
4
971
5
977
6
983
7
991
8
997
9
1009
10
1013
11
1019
12
1021
13
1031
14
1033
15
1039
16
1049
17
1051
18
1061
19
1063
20
1069
181–200
181–200
Col 1
181–200
1
1087
2
1091
3
1093
4
1097
5
1103
6
1109
7
1117
8
1123
9
1129
10
1151
11
1153
12
1163
13
1171
14
1181
15
1187
16
1193
17
1201
18
1213
19
1217
20
1223
201–220
201–220
Col 1
201–220
1
1229
2
1231
3
1237
4
1249
5
1259
6
1277
7
1279
8
1283
9
1289
10
1291
11
1297
12
1301
13
1303
14
1307
15
1319
16
1321
17
1327
18
1361
19
1367
20
1373
221–240
221–240
Col 1
221–240
1
1381
2
1399
3
1409
4
1423
5
1427
6
1429
7
1433
8
1439
9
1447
10
1451
11
1453
12
1459
13
1471
14
1481
15
1483
16
1487
17
1489
18
1493
19
1499
20
1511
241–260
241–260
Col 1
241–260
1
1523
2
1531
3
1543
4
1549
5
1553
6
1559
7
1567
8
1571
9
1579
10
1583
11
1597
12
1601
13
1607
14
1609
15
1613
16
1619
17
1621
18
1627
19
1637
20
1657
261–280
261–280
Col 1
261–280
1
1663
2
1667
3
1669
4
1693
5
1697
6
1699
7
1709
8
1721
9
1723
10
1733
11
1741
12
1747
13
1753
14
1759
15
1777
16
1783
17
1787
18
1789
19
1801
20
1811
281–300
281–300
Col 1
281–300
1
1823
2
1831
3
1847
4
1861
5
1867
6
1871
7
1873
8
1877
9
1879
10
1889
11
1901
12
1907
13
1913
14
1931
15
1933
16
1949
17
1951
18
1973
19
1979
20
1987
301–320
301–320
Col 1
301–320
1
1993
2
1997
3
1999
4
2003
5
2011
6
2017
7
2027
8
2029
9
2039
10
2053
11
2063
12
2069
13
2081
14
2083
15
2087
16
2089
17
2099
18
2111
19
2113
20
2129
321–340
321–340
Col 1
321–340
1
2131
2
2137
3
2141
4
2143
5
2153
6
2161
7
2179
8
2203
9
2207
10
2213
11
2221
12
2237
13
2239
14
2243
15
2251
16
2267
17
2269
18
2273
19
2281
20
2287
341–360
341–360
Col 1
341–360
1
2293
2
2297
3
2309
4
2311
5
2333
6
2339
7
2341
8
2347
9
2351
10
2357
11
2371
12
2377
13
2381
14
2383
15
2389
16
2393
17
2399
18
2411
19
2417
20
2423
361–380
361–380
Col 1
361–380
1
2437
2
2441
3
2447
4
2459
5
2467
6
2473
7
2477
8
2503
9
2521
10
2531
11
2539
12
2543
13
2549
14
2551
15
2557
16
2579
17
2591
18
2593
19
2609
20
2617
381–400
381–400
Col 1
381–400
1
2621
2
2633
3
2647
4
2657
5
2659
6
2663
7
2671
8
2677
9
2683
10
2687
11
2689
12
2693
13
2699
14
2707
15
2711
16
2713
17
2719
18
2729
19
2731
20
2741
401–420
401–420
Col 1
401–420
1
2749
2
2753
3
2767
4
2777
5
2789
6
2791
7
2797
8
2801
9
2803
10
2819
11
2833
12
2837
13
2843
14
2851
15
2857
16
2861
17
2879
18
2887
19
2897
20
2903
421–440
421–440
Col 1
421–440
1
2909
2
2917
3
2927
4
2939
5
2953
6
2957
7
2963
8
2969
9
2971
10
2999
11
3001
12
3011
13
3019
14
3023
15
3037
16
3041
17
3049
18
3061
19
3067
20
3079
441–460
441–460
Col 1
441–460
1
3083
2
3089
3
3109
4
3119
5
3121
6
3137
7
3163
8
3167
9
3169
10
3181
11
3187
12
3191
13
3203
14
3209
15
3217
16
3221
17
3229
18
3251
19
3253
20
3257
461–480
461–480
Col 1
461–480
1
3259
2
3271
3
3299
4
3301
5
3307
6
3313
7
3319
8
3323
9
3329
10
3331
11
3343
12
3347
13
3359
14
3361
15
3371
16
3373
17
3389
18
3391
19
3407
20
3413
481–500
481–500
Col 1
481–500
1
3433
2
3449
3
3457
4
3461
5
3463
6
3467
7
3469
8
3491
9
3499
10
3511
11
3517
12
3527
13
3529
14
3533
15
3539
16
3541
17
3547
18
3557
19
3559
20
3571
501–520
501–520
Col 1
501–520
1
3581
2
3583
3
3593
4
3607
5
3613
6
3617
7
3623
8
3631
9
3637
10
3643
11
3659
12
3671
13
3673
14
3677
15
3691
16
3697
17
3701
18
3709
19
3719
20
3727
521–540
521–540
Col 1
521–540
1
3733
2
3739
3
3761
4
3767
5
3769
6
3779
7
3793
8
3797
9
3803
10
3821
11
3823
12
3833
13
3847
14
3851
15
3853
16
3863
17
3877
18
3881
19
3889
20
3907
541–560
541–560
Col 1
541–560
1
3911
2
3917
3
3919
4
3923
5
3929
6
3931
7
3943
8
3947
9
3967
10
3989
11
4001
12
4003
13
4007
14
4013
15
4019
16
4021
17
4027
18
4049
19
4051
20
4057
561–580
561–580
Col 1
561–580
1
4073
2
4079
3
4091
4
4093
5
4099
6
4111
7
4127
8
4129
9
4133
10
4139
11
4153
12
4157
13
4159
14
4177
15
4201
16
4211
17
4217
18
4219
19
4229
20
4231
581–600
581–600
Col 1
581–600
1
4241
2
4243
3
4253
4
4259
5
4261
6
4271
7
4273
8
4283
9
4289
10
4297
11
4327
12
4337
13
4339
14
4349
15
4357
16
4363
17
4373
18
4391
19
4397
20
4409
601–620
601–620
Col 1
601–620
1
4421
2
4423
3
4441
4
4447
5
4451
6
4457
7
4463
8
4481
9
4483
10
4493
11
4507
12
4513
13
4517
14
4519
15
4523
16
4547
17
4549
18
4561
19
4567
20
4583
621–640
621–640
Col 1
621–640
1
4591
2
4597
3
4603
4
4621
5
4637
6
4639
7
4643
8
4649
9
4651
10
4657
11
4663
12
4673
13
4679
14
4691
15
4703
16
4721
17
4723
18
4729
19
4733
20
4751
641–660
641–660
Col 1
641–660
1
4759
2
4783
3
4787
4
4789
5
4793
6
4799
7
4801
8
4813
9
4817
10
4831
11
4861
12
4871
13
4877
14
4889
15
4903
16
4909
17
4919
18
4931
19
4933
20
4937
661–680
661–680
Col 1
661–680
1
4943
2
4951
3
4957
4
4967
5
4969
6
4973
7
4987
8
4993
9
4999
10
5003
11
5009
12
5011
13
5021
14
5023
15
5039
16
5051
17
5059
18
5077
19
5081
20
5087
681–700
681–700
Col 1
681–700
1
5099
2
5101
3
5107
4
5113
5
5119
6
5147
7
5153
8
5167
9
5171
10
5179
11
5189
12
5197
13
5209
14
5227
15
5231
16
5233
17
5237
18
5261
19
5273
20
5279
701–720
701–720
Col 1
701–720
1
5281
2
5297
3
5303
4
5309
5
5323
6
5333
7
5347
8
5351
9
5381
10
5387
11
5393
12
5399
13
5407
14
5413
15
5417
16
5419
17
5431
18
5437
19
5441
20
5443
721–740
721–740
Col 1
721–740
1
5449
2
5471
3
5477
4
5479
5
5483
6
5501
7
5503
8
5507
9
5519
10
5521
11
5527
12
5531
13
5557
14
5563
15
5569
16
5573
17
5581
18
5591
19
5623
20
5639
741–760
741–760
Col 1
741–760
1
5641
2
5647
3
5651
4
5653
5
5657
6
5659
7
5669
8
5683
9
5689
10
5693
11
5701
12
5711
13
5717
14
5737
15
5741
16
5743
17
5749
18
5779
19
5783
20
5791
761–780
761–780
Col 1
761–780
1
5801
2
5807
3
5813
4
5821
5
5827
6
5839
7
5843
8
5849
9
5851
10
5857
11
5861
12
5867
13
5869
14
5879
15
5881
16
5897
17
5903
18
5923
19
5927
20
5939
781–800
781–800
Col 1
781–800
1
5953
2
5981
3
5987
4
6007
5
6011
6
6029
7
6037
8
6043
9
6047
10
6053
11
6067
12
6073
13
6079
14
6089
15
6091
16
6101
17
6113
18
6121
19
6131
20
6133
801–820
801–820
Col 1
801–820
1
6143
2
6151
3
6163
4
6173
5
6197
6
6199
7
6203
8
6211
9
6217
10
6221
11
6229
12
6247
13
6257
14
6263
15
6269
16
6271
17
6277
18
6287
19
6299
20
6301
821–840
821–840
Col 1
821–840
1
6311
2
6317
3
6323
4
6329
5
6337
6
6343
7
6353
8
6359
9
6361
10
6367
11
6373
12
6379
13
6389
14
6397
15
6421
16
6427
17
6449
18
6451
19
6469
20
6473
841–860
841–860
Col 1
841–860
1
6481
2
6491
3
6521
4
6529
5
6547
6
6551
7
6553
8
6563
9
6569
10
6571
11
6577
12
6581
13
6599
14
6607
15
6619
16
6637
17
6653
18
6659
19
6661
20
6673
861–880
861–880
Col 1
861–880
1
6679
2
6689
3
6691
4
6701
5
6703
6
6709
7
6719
8
6733
9
6737
10
6761
11
6763
12
6779
13
6781
14
6791
15
6793
16
6803
17
6823
18
6827
19
6829
20
6833
881–900
881–900
Col 1
881–900
1
6841
2
6857
3
6863
4
6869
5
6871
6
6883
7
6899
8
6907
9
6911
10
6917
11
6947
12
6949
13
6959
14
6961
15
6967
16
6971
17
6977
18
6983
19
6991
20
6997
901–920
901–920
Col 1
901–920
1
7001
2
7013
3
7019
4
7027
5
7039
6
7043
7
7057
8
7069
9
7079
10
7103
11
7109
12
7121
13
7127
14
7129
15
7151
16
7159
17
7177
18
7187
19
7193
20
7207
921–940
921–940
Col 1
921–940
1
7211
2
7213
3
7219
4
7229
5
7237
6
7243
7
7247
8
7253
9
7283
10
7297
11
7307
12
7309
13
7321
14
7331
15
7333
16
7349
17
7351
18
7369
19
7393
20
7411
941–960
941–960
Col 1
941–960
1
7417
2
7433
3
7451
4
7457
5
7459
6
7477
7
7481
8
7487
9
7489
10
7499
11
7507
12
7517
13
7523
14
7529
15
7537
16
7541
17
7547
18
7549
19
7559
20
7561
961–980
961–980
Col 1
961–980
1
7573
2
7577
3
7583
4
7589
5
7591
6
7603
7
7607
8
7621
9
7639
10
7643
11
7649
12
7669
13
7673
14
7681
15
7687
16
7691
17
7699
18
7703
19
7717
20
7723
981–1000
981–1000
Col 1
981–1000
1
7727
2
7741
3
7753
4
7757
5
7759
6
7789
7
7793
8
7817
9
7823
10
7829
11
7841
12
7853
13
7867
14
7873
15
7877
16
7879
17
7883
18
7901
19
7907
20
7919
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
1–20
2
3
5
7
11
13
17
19
23
29
31
37
41
43
47
53
59
61
67
71
21–40
73
79
83
89
97
101
103
107
109
113
127
131
137
139
149
151
157
163
167
173
41–60
179
181
191
193
197
199
211
223
227
229
233
239
241
251
257
263
269
271
277
281
61–80
283
293
307
311
313
317
331
337
347
349
353
359
367
373
379
383
389
397
401
409
81–100
419
421
431
433
439
443
449
457
461
463
467
479
487
491
499
503
509
521
523
541
101–120
547
557
563
569
571
577
587
593
599
601
607
613
617
619
631
641
643
647
653
659
121–140
661
673
677
683
691
701
709
719
727
733
739
743
751
757
761
769
773
787
797
809
141–160
811
821
823
827
829
839
853
857
859
863
877
881
883
887
907
911
919
929
937
941
161–180
947
953
967
971
977
983
991
997
1009
1013
1019
1021
1031
1033
1039
1049
1051
1061
1063
1069
181–200
1087
1091
1093
1097
1103
1109
1117
1123
1129
1151
1153
1163
1171
1181
1187
1193
1201
1213
1217
1223
201–220
1229
1231
1237
1249
1259
1277
1279
1283
1289
1291
1297
1301
1303
1307
1319
1321
1327
1361
1367
1373
221–240
1381
1399
1409
1423
1427
1429
1433
1439
1447
1451
1453
1459
1471
1481
1483
1487
1489
1493
1499
1511
241–260
1523
1531
1543
1549
1553
1559
1567
1571
1579
1583
1597
1601
1607
1609
1613
1619
1621
1627
1637
1657
261–280
1663
1667
1669
1693
1697
1699
1709
1721
1723
1733
1741
1747
1753
1759
1777
1783
1787
1789
1801
1811
281–300
1823
1831
1847
1861
1867
1871
1873
1877
1879
1889
1901
1907
1913
1931
1933
1949
1951
1973
1979
1987
301–320
1993
1997
1999
2003
2011
2017
2027
2029
2039
2053
2063
2069
2081
2083
2087
2089
2099
2111
2113
2129
321–340
2131
2137
2141
2143
2153
2161
2179
2203
2207
2213
2221
2237
2239
2243
2251
2267
2269
2273
2281
2287
341–360
2293
2297
2309
2311
2333
2339
2341
2347
2351
2357
2371
2377
2381
2383
2389
2393
2399
2411
2417
2423
361–380
2437
2441
2447
2459
2467
2473
2477
2503
2521
2531
2539
2543
2549
2551
2557
2579
2591
2593
2609
2617
381–400
2621
2633
2647
2657
2659
2663
2671
2677
2683
2687
2689
2693
2699
2707
2711
2713
2719
2729
2731
2741
401–420
2749
2753
2767
2777
2789
2791
2797
2801
2803
2819
2833
2837
2843
2851
2857
2861
2879
2887
2897
2903
421–440
2909
2917
2927
2939
2953
2957
2963
2969
2971
2999
3001
3011
3019
3023
3037
3041
3049
3061
3067
3079
441–460
3083
3089
3109
3119
3121
3137
3163
3167
3169
3181
3187
3191
3203
3209
3217
3221
3229
3251
3253
3257
461–480
3259
3271
3299
3301
3307
3313
3319
3323
3329
3331
3343
3347
3359
3361
3371
3373
3389
3391
3407
3413
481–500
3433
3449
3457
3461
3463
3467
3469
3491
3499
3511
3517
3527
3529
3533
3539
3541
3547
3557
3559
3571
501–520
3581
3583
3593
3607
3613
3617
3623
3631
3637
3643
3659
3671
3673
3677
3691
3697
3701
3709
3719
3727
521–540
3733
3739
3761
3767
3769
3779
3793
3797
3803
3821
3823
3833
3847
3851
3853
3863
3877
3881
3889
3907
541–560
3911
3917
3919
3923
3929
3931
3943
3947
3967
3989
4001
4003
4007
4013
4019
4021
4027
4049
4051
4057
561–580
4073
4079
4091
4093
4099
4111
4127
4129
4133
4139
4153
4157
4159
4177
4201
4211
4217
4219
4229
4231
581–600
4241
4243
4253
4259
4261
4271
4273
4283
4289
4297
4327
4337
4339
4349
4357
4363
4373
4391
4397
4409
601–620
4421
4423
4441
4447
4451
4457
4463
4481
4483
4493
4507
4513
4517
4519
4523
4547
4549
4561
4567
4583
621–640
4591
4597
4603
4621
4637
4639
4643
4649
4651
4657
4663
4673
4679
4691
4703
4721
4723
4729
4733
4751
641–660
4759
4783
4787
4789
4793
4799
4801
4813
4817
4831
4861
4871
4877
4889
4903
4909
4919
4931
4933
4937
661–680
4943
4951
4957
4967
4969
4973
4987
4993
4999
5003
5009
5011
5021
5023
5039
5051
5059
5077
5081
5087
681–700
5099
5101
5107
5113
5119
5147
5153
5167
5171
5179
5189
5197
5209
5227
5231
5233
5237
5261
5273
5279
701–720
5281
5297
5303
5309
5323
5333
5347
5351
5381
5387
5393
5399
5407
5413
5417
5419
5431
5437
5441
5443
721–740
5449
5471
5477
5479
5483
5501
5503
5507
5519
5521
5527
5531
5557
5563
5569
5573
5581
5591
5623
5639
741–760
5641
5647
5651
5653
5657
5659
5669
5683
5689
5693
5701
5711
5717
5737
5741
5743
5749
5779
5783
5791
761–780
5801
5807
5813
5821
5827
5839
5843
5849
5851
5857
5861
5867
5869
5879
5881
5897
5903
5923
5927
5939
781–800
5953
5981
5987
6007
6011
6029
6037
6043
6047
6053
6067
6073
6079
6089
6091
6101
6113
6121
6131
6133
801–820
6143
6151
6163
6173
6197
6199
6203
6211
6217
6221
6229
6247
6257
6263
6269
6271
6277
6287
6299
6301
821–840
6311
6317
6323
6329
6337
6343
6353
6359
6361
6367
6373
6379
6389
6397
6421
6427
6449
6451
6469
6473
841–860
6481
6491
6521
6529
6547
6551
6553
6563
6569
6571
6577
6581
6599
6607
6619
6637
6653
6659
6661
6673
861–880
6679
6689
6691
6701
6703
6709
6719
6733
6737
6761
6763
6779
6781
6791
6793
6803
6823
6827
6829
6833
881–900
6841
6857
6863
6869
6871
6883
6899
6907
6911
6917
6947
6949
6959
6961
6967
6971
6977
6983
6991
6997
901–920
7001
7013
7019
7027
7039
7043
7057
7069
7079
7103
7109
7121
7127
7129
7151
7159
7177
7187
7193
7207
921–940
7211
7213
7219
7229
7237
7243
7247
7253
7283
7297
7307
7309
7321
7331
7333
7349
7351
7369
7393
7411
941–960
7417
7433
7451
7457
7459
7477
7481
7487
7489
7499
7507
7517
7523
7529
7537
7541
7547
7549
7559
7561
961–980
7573
7577
7583
7589
7591
7603
7607
7621
7639
7643
7649
7669
7673
7681
7687
7691
7699
7703
7717
7723

References

  1. List of prime numbers from 1 to 10,006,721
    https://openlibrary.org/books/OL16553580M
  2. Tomás Oliveira e Silva, Goldbach conjecture verification Archived 24 May 2011 at the Wayback Machine. Retrieved 16 July
    http://www.ieeta.pt/~tos/goldbach.html
  3. (sequence A080127 in the OEIS)
  4. "Conditional Calculation of pi(1024)"
    http://primes.utm.edu/notes/pi(10%5E24).html
  5. OEIS: A018239 includes 2 = empty product of first 0 primes plus 1, but 2 is excluded in this list.
  6. arXiv
    https://arxiv.org/abs/1605.01371
  7. p
    http://projecteuclid.org/euclid.em/1048515811
  8. Mathematics of Computation
    https://doi.org/10.2307%2F2005468
  9. It varies whether L0 = 2 is included in the Lucas numbers.
  10. The On-Line Encyclopedia of Integer Sequences
    https://oeis.org/A121091
  11. The On-Line Encyclopedia of Integer Sequences
    https://oeis.org/A121616
  12. The On-Line Encyclopedia of Integer Sequences
    https://oeis.org/A121618
  13. Math. Comp
    https://www.ams.org/journals/mcom/2009-78-266/S0025-5718-08-02090-5/S0025-5718-08-02090-5.pdf
  14. Journal of Recreational Mathematics
  15. Mathematics of Computation
    https://www.ams.org/journals/mcom/1967-21-098/S0025-5718-1967-0222007-9/S0025-5718-1967-0222007-9.pdf
  16. n
    https://doi.org/10.1007%2FBF01951947
  17. t5k.org
    https://t5k.org/lists/2small/0bit.html
  18. Subproject status at PrimeGrid
    https://www.primegrid.com/server_status_subprojects.php
  19. The new book of prime number records
    https://books.google.com/books?id=72eg8bFw40kC&q=ribenboim
  20. "Mirimanoff's Congruence: Other Congruences"
    http://www.museumstuff.com/learn/topics/Mirimanoff%27s_congruence::sub::Other_Congruences
  21. k
    http://www.mpim-bonn.mpg.de/preprints/send?bid=4053
  22. Die Welt der Primzahlen
    https://www.gbv.de/dms/bs/toc/495799599.pdf
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