List of largest known primes and probable primes
The table below lists the largest currently known prime numbers and probable primes (PRPs) as tracked by the PrimePages and by Henri & Renaud Lifchitz's PRP Records. Numbers with more than 2,000,000 digits are shown.
Largest known primes
These numbers have been proved prime by computer with a primality test for their form, for example the Lucas–Lehmer primality test for Mersenne numbers . “!” is the factorial , “#” is the primorial , and
Φ Φ -->
3
(
x
)
{\displaystyle \Phi _{3}(x)}
cyclotomic polynomial , defined as
x
2
+
x
+
1
{\displaystyle x^{2}+x+1}
Rank[ 1] [ 2]
Number
Discovery date
Decimal digits
1
2136279841 – 1
12 October 2024
41,024,320
2
282589933 – 1
7 December 2018
24,862,048
3
277232917 – 1
26 December 2017
23,249,425
4
274207281 – 1
7 January 2016
22,338,618
5
257885161 – 1
25 January 2013
17,425,170
6
243112609 – 1
23 August 2008
12,978,189
7
242643801 – 1
4 June 2009
12,837,064
8
Φ Φ -->
3
(
− − -->
516693
1048576
)
{\displaystyle \Phi _{3}(-516693^{1048576})}
2 October 2023
11,981,518
9
Φ Φ -->
3
(
− − -->
465859
1048576
)
{\displaystyle \Phi _{3}(-465859^{1048576})}
31 May 2023
11,887,192
10
237156667 – 1
6 September 2008
11,185,272
11
232582657 – 1
4 September 2006
9,808,358
12
10223×231172165 + 1
31 October 2016
9,383,761
13
230402457 – 1
15 December 2005
9,152,052
14
4×511786358 + 1
1 October 2024
8,238,312
15
225964951 – 1
18 February 2005
7,816,230
16
69×224612729 – 1
13 August 2024
7,409,172
17
224036583 – 1
15 May 2004
7,235,733
18
107347×223427517 – 1
4 August 2024
7,052,391
19
3×222103376 − 1
30 September 2024
6,653,780
20
19637361048576 + 1
24 September 2022
6,598,776
21
19517341048576 + 1
9 August 2022
6,595,985
22
202705×221320516 + 1
25 November 2021
6,418,121
23
220996011 – 1
17 November 2003
6,320,430
24
10590941048576 + 1
31 October 2018
6,317,602
25
3×220928756 − 1
5 July 2023
6,300,184
26
9194441048576 + 1
29 August 2017
6,253,210
27
81×220498148 + 1
13 June 2023
6,170,560
28
7×220267500 + 1
21 July 2022
6,101,127
29
4×58431178 + 1
2 January 2024
5,893,142
30
168451×219375200 + 1
17 September 2017
5,832,522
31
69×219374980 − 1
3 July 2022
5,832,452
32
3×218924888 − 1
24 March 2022
5,696,990
33
69×218831865 − 1
16 December 2021
5,668,959
34
2×311879700 + 1
22 June 2024
5,668,058
35
97139×218397548 − 1
23 April 2023
5,538,219
36
7×218233956 + 1
1 October 2020
5,488,969
37
3×218196595 − 1
8 January 2022
5,477,722
38
4×311279466 + 1
10 September 2024
5,381,674
39
3×217748034 − 1
6 September 2021
5,342,692
40
Φ Φ -->
3
(
− − -->
123447
524288
)
{\displaystyle \Phi _{3}(-123447^{524288})}
23 February 2017
5,338,805
41
3622×57558139 − 1
18 February 2022
5,282,917
42
7×66772401 + 1
9 September 2019
5,269,954
43
2×310852677 + 1
8 January 2023
5,178,044
44
8508301×217016603 – 1
21 March 2018
5,122,515
45
8×105112848 – 1
30 January 2024
5,112,848
46
13×216828072 + 1
11 October 2023
5,065,756
47
3×216819291 – 1
20 January 2021
5,063,112
48
5287180×310574360 – 1
3 November 2024
5,045,259
49
3×216408818 + 1
25 October 2020
4,939,547
50
2329989×216309923 – 1
13 February 2024
4,909,783
51
69×215866556 + 1
20 August 2021
4,776,312
52
2036×310009192 + 1
15 February 2024
4,775,602
53
2525332×732525332 + 1
28 August 2021
4,705,888
54
1419499×215614489 + 1
9 February 2024
4,700,436
55
11×215502315 + 1
8 January 2023
4,666,663
56
(102332974 + 1)2 -2
20 February 2024
4,665,949
57
37×215474010 + 1
8 November 2022
4,658,143
58
93839×215337656 – 1
28 November 2022
4,617,100
59
215317227 +27658614 + 1
31 July 2020
4,610,945
60
13×215294536 + 1
30 September 2023
4,604,116
61
6×56546983 + 1
13 June 2020
4,576,146
62
4788920×39577840 – 1
14 February 2024
4,569,798
63
69×214977631 – 1
3 December 2021
4,508,719
64
192971×214773498 – 1
7 March 2021
4,447,272
65
4×39214845 + 1
10 September 2024
4,396,600
66
9145334×39145334 + 1
25 December 2023
4,363,441
67
4×56181673 – 1
15 July 2022
4,320,805
68
396101×214259638 – 1
3 February 2024
4,292,585
69
6962×312863120 – 1
29 February 2020
4,269,952
70
37×214166940 + 1
24 June 2022
4,264,676
71
99739×214019102 – 1
24 December 2019
4,220,176
72
69×213832885 – 1
17 January 2022
4,164,116
73
404849×213764867 + 1
10 March 2021
4,143,644
74
25×213719266 + 1
20 September 2022
4,129,912
75
81×213708272 + 1
11 October 2022
4,126,603
76
2740879×213704395 – 1
26 October 2019
4,125,441
77
479216×38625889 – 1
16 November 2019
4,115,601
78
Φ Φ -->
3
(
− − -->
143332
393216
)
{\displaystyle \Phi _{3}(-143332^{393216})}
30 January 2017
4,055,114
79
81×213470584 + 1
9 October 2022
4,055,052
80
213466917 – 1
14 November 2001
4,053,946
81
5778486×55778486 + 1
15 August 2024
4,038,996
82
9×213334487 + 1
31 March 2020
4,014,082
83
206039×213104952 − 1
26 April 2021
3,944,989
84
2805222×55610444 + 1
2 September 2019
3,921,539
85
19249×213018586 + 1
26 March 2007
3,918,990
86
2293×212918431 − 1
13 February 2021
3,888,839
87
81×212804541 + 1
19 September 2022
3,854,553
88
4×55380542 + 1
22 February 2023
3,760,839
89
9×212406887 + 1
29 March 2020
3,734,847
90
11937916524288 + 1
5 October 2024
3,710,349
91
7×212286041 − 1
10 June 2023
3,698,468
92
10913140524288 + 1
19 June 2024
3,689,913
93
69×212231580 − 1
27 July 2021
3,682,075
94
27×212184319 + 1
6 February 2021
3,667,847
95
9332124524288 + 1
22 June 2024
3,654,278
96
8630170524288 + 1
13 April 2024
3,636,472
97
863282×55179692 - 1
17 October 2024
3,620,456
98
670490×123352450 - 1
17 October 2024
3,617,907
99
4×37578378 + 1
9 September 2024
3,615,806
100
11×211993994 − 1
15 August 2024
3,610,554
101
3761×211978874 − 1
6 July 2022
3,606,004
102
95×211954552 − 1
28 May 2024
3,598,681
103
259072×55136295 − 1
28 October 2024
3,590,122
104
3×211895718 − 1
23 June 2015
3,580,969
105
37×211855148 + 1
30 May 2022
3,568,757
106
6339004524288 + 1
8 June 2023
3,566,218
107
763795×64582771 + 1
11 December 2023
3,566,095
108
5897794524288 + 1
18 December 2022
3,549,792
109
3×211731850 − 1
13 March 2015
3,531,640
110
69×211718455 − 1
4 December 2020
3,527,609
111
8629×211708579 – 1
19 September 2024
3,524,638
112
41×211676439 + 1
20 June 2022
3,514,960
113
4896418524288 + 1
15 May 2022
3,507,424
114
81×211616017 + 1
30 August 2022
3,496,772
115
69×211604348 − 1
4 December 2020
3,493,259
116
4450871×64450871 + 1
17 September 2023
3,463,458
117
9×211500843 + 1
13 March 2020
3,462,100
118
3×211484018 − 1
22 November 2014
3,457,035
119
193997×211452891 +1
3 April 2018
3,447,670
120
29914×54930904 +1
27 September 2024
3,446,559
121
3638450524288 +1
29 May 2020
3,439,810
122
9221×211392194 -1
7 February 2021
3,429,397
123
9×211366286 +1
26 March 2020
3,421,594
124
5×211355764 -1
2 October 2021
3,418,427
125
732050×64392301 +1
9 September 2023
3,417,881
126
3214654524288 +1
24 December 2019
3,411,613
127
632760! - 1
20 October 2024
3,395,992
128
146561×211280802 -1
16 November 2020
3,395,865
129
51208×54857576 +1
6 June 2024
3,395,305
130
2985036524288 +1
18 September 2019
3,394,739
131
6929×211255424 -1
7 July 2022
3,388,225
132
2877652524288 +1
29 June 2019
3,386,397
133
2788032524288 +1
17 April 2019
3,379,193
134
2733014524288 +1
18 March 2019
3,374,655
135
9×211158963 +1
13 March 2020
3,359,184
136
9271×211134335 -1
17 January 2021
3,351,773
137
136804×54777253 -1
1 March 2024
3,339,162
138
2312092524288 + 1
4 August 2018
3,336,572
139
987324×481974648 - 1
12 October 2024
3,319,866
140
2061748524288 + 1
20 March 2018
3,310,478
141
1880370524288 + 1
15 January 2018
3,289,511
142
27×210902757 − 1
7 March 2022
3,282,059
143
3×210829346 + 1
14 January 2014
3,259,959
144
11×210803449 + 1
29 May 2022
3,252,164
145
11×210797109 + 1
29 May 2022
3,250,255
146
7×210612737 − 1
19 May 2022
3,194,154
147
7351117# + 1
14 September 2024
3,191,401
148
37×210599476 + 1
17 June 2022
3,190,762
149
5×210495620 − 1
26 September 2021
3,159,498
150
Φ Φ -->
3
(
− − -->
3
3304302
+
1
)
3
{\displaystyle {\tfrac {\Phi _{3}(-3^{3304302}+1)}{3}}}
30 June 2023
3,153,105
151
5×210349000 − 1
26 September 2021
3,115,361
152
Φ Φ -->
3
(
− − -->
844833
262144
)
{\displaystyle \Phi _{3}(-844833^{262144})}
17 January 2017
3,107,335
153
52922×54399812 – 1
3 August 2023
3,075,342
154
Φ Φ -->
3
(
− − -->
712012
262144
)
{\displaystyle \Phi _{3}(-712012^{262144})}
14 January 2017
3,068,389
155
177742×54386703 – 1
24 July 2023
3,066,180
156
4×36402015 + 1
9 September 2024
3,054,539
157
874208×541748416 – 1
26 September 2019
3,028,951
158
475856524288 + 1
8 August 2012
2,976,633
159
2×36236772 + 1
20 December 2022
2,975,697
160
15×39830108 + 1
19 August 2023
2,959,159
161
9×29778263 + 1
5 August 2020
2,943,552
162
198×5581061348 + 1
30 August 2024
2,915,138
163
1806676×411806676 + 1
11 March 2018
2,913,785
164
356926524288 + 1
20 June 2012
2,911,151
165
341112524288 + 1
15 June 2012
2,900,832
166
213988×54138363 – 1
29 November 2022
2,892,597
167
43×29596983 – 1
28 February 2022
2,888,982
168
121×29584444 + 1
18 November 2020
2,885,208
169
15×29482269 – 1
14 August 2024
2,854,449
170
6533299# - 1
28 August 2024
2,835,864
171
11×29381365 + 1
7 March 2020
2,824,074
172
15×29312889 + 1
7 August 2023
2,803,461
173
49×29187790 + 1
11 September 2022
2,765,803
174
6369619# + 1
12 August 2024
2,765,105
175
27653×29167433 + 1
8 June 2005
2,759,677
176
6354977# − 1
12 August 2024
2,758,832
177
90527×29162167 + 1
30 June 2010
2,758,093
178
6795×29144320 − 1
31 March 2021
2,752,719
179
31×29088085 − 1
27 August 2024
2,735,788
180
75×29079482 + 1
25 July 2023
2,733,199
181
1323365×1161323365 + 1
18 January 2018
2,732,038
182
57×29075622 – 1
7 August 2022
2,732,037
183
102718281 -5×101631138 -5×101087142 – 1
6 August 2024
2,718,281
184
63838×53887851 – 1
19 June 2022
2,717,497
185
13×28989858 + 1
10 March 2020
2,706,219
186
4159×28938471 − 1
19 April 2022
2,690,752
187
273809×28932416 − 1
13 December 2017
2,688,931
188
93×28898285 + 1
4 March 2024
2,678,653
189
2×35570081 + 1
14 February 2020
2,657,605
190
25×28788628 + 1
1 March 2021
2,645,643
191
2038×3661028507 − 1
4 April 2016
2,636,562
192
64598×53769854 − 1
14 June 2022
2,635,020
193
63×28741225 + 1
6 May 2024
2,631,373
194
8×785900325 + 1
4 June 2022
2,606,325
195
17×28636199 + 1
17 February 2021
2,599,757
196
75898524288 + 1
19 November 2011
2,558,647
197
25×28456828 + 1
27 January 2021
2,545,761
198
39×28413422 + 1
23 January 2021
2,532,694
199
31×28348000 + 1
19 January 2021
2,513,000
200
27×28342438 − 1
1 February 2021
2,511,326
201
3867×28261084 − 1
14 April 2021
2,486,838
202
101×28152967 + 1
2 December 2023
2,454,290
203
273662×53493296 − 1
7 December 2021
2,441,715
204
81×28109236 + 1
9 September 2022
2,441,126
205
11×28103463 + 1
6 March 2020
2,439,387
206
102818×53440382 − 1
8 October 2021
2,404,729
207
11×27971110 − 1
25 November 2019
2,399,545
208
27×27963247 + 1
14 January 2021
2,397,178
209
3177×27954621 − 1
13 June 2021
2,394,584
210
39×27946769 + 1
14 January 2021
2,392,218
211
7×63072198 + 1
4 August 2019
2,390,636
212
3765×27904593 − 1
10 January 2021
2,379,524
213
29×27899985 + 1
14 January 2021
2,378,134
214
5113×27895471 − 1
27 November 2022
2,376,778
215
861×27895451 − 1
21 February 2021
2,376,771
216
75×27886683 + 1
4 September 2023
2,374,131
217
99×27830910 + 1
24 April 2024
2,357,341
218
28433×27830457 + 1
31 December 2004
2,357,207
219
2589×27803339 − 1
21 August 2022
2,349,043
220
59×27792307 + 1
24 April 2024
2,345,720
221
101×27784453 + 1
24 April 2024
2,343,356
222
95×27778585 + 1
24 April 2024
2,341,590
223
8401×27767655 − 1
24 April 2023
2,338,302
224
9693×27767343 − 1
17 November 2023
2,338,208
225
5×27755002 − 1
23 September 2021
2,334,489
226
2945×27753232 − 1
27 November 2022
2,333,959
227
2×836798431 + 1
10 September 2024
2,333,181
228
63×27743186 + 1
24 April 2024
2,330,934
229
2545×27732265 − 1
13 January 2021
2,327,648
230
5539×27730709 − 1
15 January 2021
2,327,180
231
4817×27719584 − 1
13 June 2021
2,323,831
232
183×558842752 + 1
23 August 2024
2,314,734
233
1341174×531341174 + 1
21 August 2017
2,312,561
234
9467×27680034 − 1
20 February 2022
2,311,925
235
45×27661004 + 1
13 December 2020
2,306,194
236
15×27619838 + 1
6 December 2020
2,293,801
237
3597×27580693 − 1
10 January 2021
2,282,020
238
5256037# + 1
6 August 2024
2,281,955
239
3129×27545557 − 1
14 March 2023
2,271,443
240
7401×27523295 − 1
21 February 2021
2,264,742
241
45×27513661 + 1
12 November 2020
2,261,839
242
Φ Φ -->
3
(
− − -->
558640
196608
)
{\displaystyle \Phi _{3}(-558640^{196608})}
11 January 2017
2,259,865
243
9×27479919 − 1
3 June 2023
2,251,681
244
1875×27474308 − 1
21 August 2022
2,249,995
245
69×27452023 + 1
23 March 2023
2,243,285
246
1281879×27447178 + 1
27 December 2023
2,241,831
247
4×53189669 − 1
12 July 2022
2,229,484
248
29×27374577 + 1
27 October 2020
2,219,971
249
2653×27368343 − 1
18 September 2024
2,218,096
250
21555×27364128 − 1
4 September 2024
2,216,828
251
3197×27359542 − 1
27 November 2022
2,215,447
252
109838×53168862 − 1
13 August 2020
2,214,945
253
95×27354869 + 1
25 September 2023
2,214,039
254
101×27345194 − 1
5 October 2019
2,211,126
255
85×27333444 + 1
25 September 2023
2,207,589
256
15×27300254 + 1
25 October 2020
2,197,597
257
422429! + 1
21 February 2022
2,193,027
258
1759×27284439 − 1
28 August 2021
2,192,838
259
1909683×141909683 + 1
27 May 2023
2,188,748
260
737×27269322 − 1
10 August 2017
2,188,287
261
6909×27258896 − 1
18 September 2024
2,185,150
262
93×27241494 + 1
25 September 2023
2,179,909
263
118568×53112069 + 1
1 May 2020
2,175,248
264
40×257901632 + 1
11 September 2024
2,172,875
265
580633×27208783 − 1
15 February 2024
2,170,066
266
6039×27207973 − 1
24 March 2021
2,169,820
267
502573×27181987 − 1
4 October 2014
2,162,000
268
402539×27173024 − 1
2 October 2014
2,159,301
269
3343×27166019 − 1
29 September 2016
2,157,191
270
161041×27107964 + 1
6 January 2015
2,139,716
271
294×213918952 – 1
19 September 2023
2,139,672
272
27×27046834 + 1
11 October 2018
2,121,310
273
1759×27046791 − 1
28 August 2021
2,121,299
274
327×27044001 − 1
13 January 2021
2,120,459
275
5×27037188 − 1
22 September 2021
2,118,406
276
3×27033641 + 1
21 February 2011
2,117,338
277
625783×27031319 − 1
10 February 2024
2,116,644
278
33661×27031232 + 1
30 October 2007
2,116,617
279
Φ Φ -->
3
(
− − -->
237804
196608
)
{\displaystyle \Phi _{3}(-237804^{196608})}
6 January 2017
2,114,016
280
207494×53017502 – 1
16 March 2020
2,109,149
281
15×26993631 – 1
25 August 2021
2,105,294
282
8943501×26972593 – 1
8 January 2022
2,098,967
283
6020095×26972593 – 1
4 September 2022
2,098,967
284
26972593 – 1
1 June 1999
2,098,960
285
273×26963847 – 1
16 November 2022
2,096,330
286
6219×26958945 – 1
7 January 2021
2,094,855
287
51×26945567 + 1
26 May 2020
2,090,826
288
3323×26921196 – 1
18 September 2024
2,083,492
289
238694×52979422 – 1
12 March 2020
2,082,532
290
4×721119849 − 1
7 September 2016
2,079,933
291
33×26894190 – 1
27 July 2021
2,075,360
292
4778027# − 1
31 July 2024
2,073,926
293
2345×26882320 – 1
13 April 2022
2,071,789
294
57×26857990 + 1
17 August 2023
2,064,463
295
146264×52953282 – 1
9 March 2020
2,064,261
296
69×26838971 – 1
1 March 2020
2,058,738
297
35816×52945294 – 1
5 March 2020
2,058,677
298
127×26836153 – 1
25 June 2018
2,057,890
299
19×26833086 + 1
24 October 2020
2,056,966
300
65×26810465 + 1
22 September 2023
2,050,157
301
40597×26808509 – 1
25 December 2013
2,049,571
302
283×26804701 – 1
19 January 2020
2,048,431
303
1861209×26789999 + 1
2 December 2020
2,044,000
304
5817×26789459 – 1
9 January 2021
2,043,835
305
8435×26786180 – 1
7 January 2021
2,042,848
306
51×26753404 + 1
26 May 2020
2,032,979
307
93×26750726 + 1
18 September 2023
2,032,173
308
69×26745775 + 1
21 March 2023
2,030,683
309
9995×26711008 – 1
31 December 2020
2,020,219
310
39×26684941 + 1
20 October 2020
2,012,370
311
6679881×26679881 + 1
25 July 2009
2,010,852
312
37×26660841 − 1
30 July 2014
2,005,115
313
39×26648997 + 1
20 October 2020
2,001,550
314
42781592262144 + 1
18 November 2024
2,000,489
315
102000007 – 101127194 – 10872812 – 1
12 January 2024
2,000,007
316
102000005 – 101051046 – 10948958 – 1
6 January 2024
2,000,005
These are probable primes . Primality has not been proven because it is too hard for general numbers of this size but they are expected to be primes. F(n ) is the n th Fibonacci number .
Rank[ 101]
Number
Discovery date
Decimal digits
1
10
8177207
− − -->
1
9
{\displaystyle {\tfrac {10^{8177207}-1}{9}}}
8 May 2021
8,177,207
2
10
5794777
− − -->
1
9
{\displaystyle {\tfrac {10^{5794777}-1}{9}}}
20 April 2021
5,794,777
3
2
15135397
+
1
3
{\displaystyle {\tfrac {2^{15135397}+1}{3}}}
June 2021
4,556,209
4
3
8530117
− − -->
1
2
{\displaystyle {\tfrac {3^{8530117}-1}{2}}}
November 2023
4,069,900
5
213380298 – 27
March 2021
4,027,872
6
2
13372531
+
1
3
{\displaystyle {\tfrac {2^{13372531}+1}{3}}}
September 2013
4,025,533
7
2
13347311
+
1
3
{\displaystyle {\tfrac {2^{13347311}+1}{3}}}
September 2013
4,017,941
8
2
12720787
− − -->
1
1666870069020922905132673131516413926009285199
{\displaystyle {\tfrac {2^{12720787}-1}{1666870069020922905132673131516413926009285199}}}
3 July 2022
3,829,294
9
3
7973131
− − -->
1
2
{\displaystyle {\tfrac {3^{7973131}-1}{2}}}
November 2023
3,804,150
10
2
12588091
− − -->
1
32075464348897282169539424801
{\displaystyle {\tfrac {2^{12588091}-1}{32075464348897282169539424801}}}
10 April 2023
3,789,365
11
2
12503723
− − -->
2
6251862
+
1
5
{\displaystyle {\tfrac {2^{12503723}-2^{6251862}+1}{5}}}
July 2020
3,763,995
12
5
5154509
− − -->
1
4
{\displaystyle {\tfrac {5^{5154509}-1}{4}}}
February 2024
3,602,847
13
5
4939471
− − -->
1
4
{\displaystyle {\tfrac {5^{4939471}-1}{4}}}
January 2024
3,452,542
14
2
10443557
− − -->
1
37289325994807
{\displaystyle {\tfrac {2^{10443557}-1}{37289325994807}}}
9 July 2020
3,143,811
15
29092392 + 40291
February 2011
2,737,083
16
6
3360347
− − -->
1
5
{\displaystyle {\tfrac {6^{3360347}-1}{5}}}
October 2023
2,614,858
17
2
8247949
− − -->
1
45487316822291087700751210632267642069671672071
{\displaystyle {\tfrac {2^{8247949}-1}{45487316822291087700751210632267642069671672071}}}
3 June 2024
2,482,834
18
17
1990523
− − -->
1
16
{\displaystyle {\tfrac {17^{1990523}-1}{16}}}
August 2020
2,449,236
19
35963
524288
+
1
2
{\displaystyle {\tfrac {35963^{524288}+1}{2}}}
August 2022
2,388,581
20
50018654465 + 54465500186
August 2024
2,368,940
21
11
2264611
+
1
12
{\displaystyle {\tfrac {11^{2264611}+1}{12}}}
July 2021
2,358,349
22
5
3300593
− − -->
1
4
{\displaystyle {\tfrac {5^{3300593}-1}{4}}}
February 2022
2,307,015
23
3
4694803
+
2
4694803
5
{\displaystyle {\tfrac {3^{4694803}+2^{4694803}}{5}}}
December 2023
2,239,990
24
2
7313983
− − -->
1
305492080276193
{\displaystyle {\tfrac {2^{7313983}-1}{305492080276193}}}
1 March 2018
2,201,714
25
3
4571447
+
2
4571447
5
{\displaystyle {\tfrac {3^{4571447}+2^{4571447}}{5}}}
December 2023
2,181,134
26
15
1848811
+
1
16
{\displaystyle {\tfrac {15^{1848811}+1}{16}}}
July 2024
2,174,370
27
F (10367321)
10 August 2024
2,166,642
28
15
1841911
+
1
16
{\displaystyle {\tfrac {15^{1841911}+1}{16}}}
July 2024
2,166,255
29
34532794 + 45327943
October 2023
2,162,693
30
F (10317107)
27 July 2024
2,156,148
31
2
7080247
− − -->
1
17045259548603283727480473638587228614426296913631
{\displaystyle {\tfrac {2^{7080247}-1}{17045259548603283727480473638587228614426296913631}}}
27 October 2017
2,131,318
32
360834356345 + 356345360834
February 2024
2,003,304
33
360339356572 + 356572360339
May 2024
2,000,656
See also
References
^ Caldwell, Chris K. "THE LARGEST KNOWN PRIMES (The 5,000 largest known primes)" . Retrieved 23 November 2018 . ^ The known primes with 2,000,000 digits or more ^ "Official press release of 52nd Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 21 October 2024 .^ "Official press release of 51st Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 7 December 2018 .^ "Official press release of 50th Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 26 December 2017 .^ "Official press release of 49th Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 7 January 2016 .^ "Official press release of 48th Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 25 January 2013 .^ a b "Official press release of 45th and 46th Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 10 September 2008 .^ "Official press release of 47th Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 25 January 2013 .^ "PrimePage Primes: Phi(3, - 516693^1048576)" . t5k.org . Retrieved 18 October 2024 .^ "PrimePage Primes: Phi(3, - 465859^1048576)" . t5k.org . Retrieved 18 October 2024 .^ "Official press release of 44th Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 25 January 2013 .^ Official announcement of discovery of 10223×231172165 + 1 , PrimeGrid^ "Official press release of 43rd Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 25 January 2013 .^ "Official press release of 42nd Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 25 January 2013 .^ "Official press release of 41st Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 25 January 2013 .^ Official announcement of discovery of 3×222103376 − 1 , PrimeGrid^ Official announcement of discovery of 19637361048576 + 1 , PrimeGrid^ Official announcement of discovery of 19517341048576 + 1 , PrimeGrid^ Official announcement of discovery of 202705×221320516 + 1 , PrimeGrid^ "Official press release of 40th Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 25 January 2013 .^ Official announcement of discovery of 10590941048576 + 1 , PrimeGrid^ Official announcement of discovery of 3×220928756 − 1 , PrimeGrid^ Official announcement of discovery of 9194441048576 + 1 , PrimeGrid^ Official announcement of discovery of 168451×219375200 + 1 , PrimeGrid^ Official announcement of discovery of 3×218924888 − 1 , PrimeGrid^ Official announcement of discovery of 3×218196595 − 1 , PrimeGrid^ Official announcement of discovery of 3×217748034 − 1 , PrimeGrid^ Official announcement of discovery of 8508301×217016603 – 1 , PrimeGrid^ Official announcement of discovery of 3×216819291 – 1 , PrimeGrid^ Official announcement of discovery of 3×216408818 + 1 , PrimeGrid^ Official announcement of discovery of 2525332×732525332 + 1 , PrimeGrid^ Official announcement of discovery of 99739×214019102 – 1 , PrimeGrid^ "Official press release of 39th Mersenne prime number" . Great Internet Mersenne Prime Search . Retrieved 25 January 2013 .^ Official announcement of discovery of 2805222×55610444 + 1 , PrimeGrid^ a b c d e f g h i j k Chris Caldwell, The Largest Known Primes at The PrimePages.
^ Official announcement of discovery of 11937916524288 + 1 , PrimeGrid^ Official announcement of discovery of 10913140524288 + 1 , PrimeGrid^ Official announcement of discovery of 9332124524288 + 1 , PrimeGrid^ Official announcement of discovery of 8630170524288 + 1 , PrimeGrid^ Official announcement of discovery of 3×211895718 −1 , PrimeGrid^ Official announcement of discovery of 6339004524288 + 1 , PrimeGrid^ Official announcement of discovery of 3×211731850 − 1 , PrimeGrid^ Official announcement of discovery of 4896418524288 + 1 , PrimeGrid^ Official announcement of discovery of 3×211484018 − 1 , PrimeGrid^ Official announcement of discovery of 193997×211452891 + 1 , PrimeGrid^ Official announcement of discovery of 3638450524288 + 1 , PrimeGrid^ Official announcement of discovery of 9221×211392194 -1 , PrimeGrid^ Official announcement of discovery of 3214654524288 + 1 , PrimeGrid^ Official announcement of discovery of 146561×211280802 -1 , PrimeGrid^ Official announcement of discovery of 2985036524288 + 1 , PrimeGrid^ Official announcement of discovery of 2877652524288 + 1 , PrimeGrid^ Official announcement of discovery of 2788032524288 + 1 , PrimeGrid^ Official announcement of discovery of 2733014524288 + 1 , PrimeGrid^ Official announcement of discovery of 2312092524288 + 1 , PrimeGrid^ Official announcement of discovery of 2061748524288 + 1 , PrimeGrid^ Official announcement of discovery of 1880370524288 + 1 , PrimeGrid^ Official announcement of discovery of 3×210829346 + 1 , PrimeGrid^ Official announcement of discovery of 475856524288 + 1 , PrimeGrid^ Official announcement of discovery of 356926524288 + 1 , PrimeGrid^ Official announcement of discovery of 341112524288 + 1 , PrimeGrid^ Official announcement of discovery of 121×29584444 + 1 , PrimeGrid^ Official announcement of discovery of 1323365×1161323365 + 1 , PrimeGrid^ Official announcement of discovery of 63838×53887851 – 1 , PrimeGrid^ Official announcement of discovery of 273809×28932416 -1 , PrimeGrid^ Official announcement of discovery of 25×28788628 + 1 , PrimeGrid^ a b c "CRUS - Proven Conjectures" . www.noprimeleftbehind.net .^ Official announcement of discovery of 17×28636199 + 1 , PrimeGrid^ Official announcement of discovery of 75898524288 + 1 , PrimeGrid^ Official announcement of discovery of 25×28456828 + 1 , PrimeGrid^ Official announcement of discovery of 39×28413822 + 1 , PrimeGrid^ Official announcement of discovery of 31×28348000 + 1 , PrimeGrid^ Official announcement of discovery of 27×28342438 − 1 , PrimeGrid^ Official announcement of discovery of 273662×53493296 + 1 , PrimeGrid^ 102818×53440382 – 1 , PrimeGrid^ Official announcement of discovery of 27×27963247 + 1 , PrimeGrid^ Official announcement of discovery of 39×27946769 + 1 , PrimeGrid^ Official announcement of discovery of 29×27899985 + 1 , PrimeGrid^ Official announcement of discovery of 1341174×531341174 + 1 , PrimeGrid^ Official announcement of discovery of 45×27661004 + 1 , PrimeGrid^ Official announcement of discovery of 15×27619838 + 1 , PrimeGrid^ Official announcement of discovery of 45×27513661 + 1 , PrimeGrid^ Official announcement of discovery of 29×27374577 + 1 , PrimeGrid^ 109838×53168862 – 1 , PrimeGrid^ Official announcement of discovery of 29×27300254 + 1 , PrimeGrid^ 118568×53112069 + 1 , PrimeGrid^ Official announcement of discovery of 502573×27181987 − 1 , PrimeGrid^ Official announcement of discovery of 402539×27173024 − 1 , PrimeGrid^ Official announcement of discovery of 161041×27107964 + 1 , PrimeGrid^ Official announcement of discovery of 27×27046834 + 1 , PrimeGrid^ Official announcement of discovery of 3×27033641 + 1 , PrimeGrid^ GIMPS press release, GIMPS Finds First Million-Digit Prime ^ 238694×52979422 – 1 , PrimeGrid^ 146264×52953282 – 1 , PrimeGrid^ 35816×52945294 – 1 , PrimeGrid^ Official announcement of discovery of 19×26833086 + 1 , PrimeGrid^ Official announcement of discovery of 40597×26808509 – 1 , PrimeGrid^ Official announcement of discovery of 39×26684941 + 1 , PrimeGrid^ Official announcement of discovery of 6679881×26679881 + 1 , PrimeGrid^ Official announcement of discovery of 39×26648997 + 1 , PrimeGrid^ a b c d e f g h i j k l m n o p q r s t u v w x y Henri Lifchitz & Renaud Lifchitz, Probable Primes Top 10000 , primenumbers.net
External links
By formula By integer sequence By property Base -dependentPatterns
k -tuples
Twin (p , p + 2 Triplet (p , p + 2 or p + 4, p + 6 Quadruplet (p , p + 2, p + 6, p + 8 Cousin (p , p + 4 Sexy (p , p + 6 Arithmetic progression (p + a·n , n = 0, 1, 2, 3, ... Balanced (consecutive p − n , p , p + n )
By size Complex numbers Composite numbers Related topics First 60 primes
