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
[edit]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 third cyclotomic polynomial, defined as .
Rank[1] | Number | Discovery date | Decimal digits |
---|---|---|---|
1 | 282589933 – 1 | 7 December 2018 | 24,862,048 |
2 | 277232917 – 1 | 26 December 2017 | 23,249,425 |
3 | 274207281 – 1 | 7 January 2016 | 22,338,618 |
4 | 257885161 – 1 | 25 January 2013 | 17,425,170 |
5 | 243112609 – 1 | 23 August 2008 | 12,978,189 |
6 | 242643801 – 1 | 4 June 2009 | 12,837,064 |
7 | 2 October 2023 | 11,981,518 | |
8 | 31 May 2023 | 11,887,192 | |
9 | 237156667 – 1 | 6 September 2008 | 11,185,272 |
10 | 232582657 – 1 | 4 September 2006 | 9,808,358 |
11 | 10223×231172165 + 1 | 31 October 2016 | 9,383,761 |
12 | 230402457 – 1 | 15 December 2005 | 9,152,052 |
13 | 225964951 – 1 | 18 February 2005 | 7,816,230 |
14 | 224036583 – 1 | 15 May 2004 | 7,235,733 |
15 | 107347×223427517 – 1 | 4 August 2024 | 7,052,391 |
16 | 19637361048576 + 1 | 24 September 2022 | 6,598,776 |
17 | 19517341048576 + 1 | 9 August 2022 | 6,595,985 |
18 | 202705×221320516 + 1 | 25 November 2021 | 6,418,121 |
19 | 220996011 – 1 | 17 November 2003 | 6,320,430 |
20 | 10590941048576 + 1 | 31 October 2018 | 6,317,602 |
21 | 3×220928756 - 1 | 5 July 2023 | 6,300,184 |
22 | 9194441048576 + 1 | 29 August 2017 | 6,253,210 |
23 | 81×220498148 + 1 | 13 June 2023 | 6,170,560 |
24 | 7×220267500 + 1 | 21 July 2022 | 6,101,127 |
25 | 4×58431178 + 1 | 2 January 2024 | 5,893,142 |
26 | 168451×219375200 + 1 | 17 September 2017 | 5,832,522 |
27 | 69×219374980 - 1 | 3 July 2022 | 5,832,452 |
28 | 3×218924888 - 1 | 24 March 2022 | 5,696,990 |
29 | 69×218831865 - 1 | 16 December 2021 | 5,668,959 |
30 | 2×311879700 + 1 | 22 June 2024 | 5,668,058 |
31 | 97139×218397548 - 1 | 23 April 2023 | 5,538,219 |
32 | 7×218233956 + 1 | 1 October 2020 | 5,488,969 |
33 | 3×218196595 - 1 | 8 January 2022 | 5,477,722 |
34 | 3×217748034 - 1 | 6 September 2021 | 5,342,692 |
35 | 23 February 2017 | 5,338,805 | |
36 | 3622×57558139 - 1 | 18 February 2022 | 5,282,917 |
37 | 7×66772401 + 1 | 9 September 2019 | 5,269,954 |
38 | 2×310852677 + 1 | 8 January 2023 | 5,178,044 |
39 | 8508301×217016603-1 | 21 March 2018 | 5,122,515 |
40 | 8×105112848-1 | 30 January 2024 | 5,112,848 |
41 | 13×216828072 + 1 | 11 October 2023 | 5,065,756 |
42 | 3×216819291-1 | 20 January 2021 | 5,063,112 |
43 | 3×216408818+1 | 25 October 2020 | 4,939,547 |
44 | 2329989×216309923-1 | 13 February 2024 | 4,909,783 |
45 | 69×215866556+1 | 20 August 2021 | 4,776,312 |
46 | 2036×310009192+1 | 15 February 2024 | 4,775,602 |
47 | 2525332×732525332+1 | 28 August 2021 | 4,705,888 |
48 | 1419499×215614489+1 | 9 February 2024 | 4,700,436 |
49 | 11×215502315+1 | 8 January 2023 | 4,666,663 |
50 | (102332974+1)2-2 | 20 February 2024 | 4,665,949 |
51 | 37×215474010+1 | 8 November 2022 | 4,658,143 |
52 | 93839×215337656-1 | 28 November 2022 | 4,617,100 |
53 | 215317227+27658614+1 | 31 July 2020 | 4,610,945 |
54 | 13×215294536+1 | 30 September 2023 | 4,604,116 |
55 | 6×56546983+1 | 13 June 2020 | 4,576,146 |
56 | 4788920×39577840-1 | 14 February 2024 | 4,569,798 |
57 | 69×214977631-1 | 3 December 2021 | 4,508,719 |
58 | 192971×214773498-1 | 7 March 2021 | 4,447,272 |
59 | 9145334×39145334+1 | 25 December 2023 | 4,363,441 |
60 | 4×56181673-1 | 15 July 2022 | 4,320,805 |
61 | 396101×214259638-1 | 3 February 2024 | 4,292,585 |
62 | 6962×312863120-1 | 29 February 2020 | 4,269,952 |
63 | 37×214166940+1 | 24 June 2022 | 4,264,676 |
64 | 99739×214019102-1 | 24 December 2019 | 4,220,176 |
65 | 69×213832885-1 | 17 January 2022 | 4,164,116 |
66 | 404849×213764867+1 | 10 March 2021 | 4,143,644 |
67 | 25×213719266+1 | 20 September 2022 | 4,129,912 |
68 | 81×213708272 + 1 | 11 October 2022 | 4,126,603 |
69 | 2740879×213704395-1 | 26 October 2019 | 4,125,441 |
70 | 479216×38625889-1 | 16 November 2019 | 4,115,601 |
71 | 30 January 2017 | 4,055,114 | |
72 | 81×213470584 + 1 | 9 October 2022 | 4,055,052 |
73 | 213466917 – 1 | 14 November 2001 | 4,053,946 |
74 | 5778486×55778486 + 1 | 15 August 2024 | 4,038,996 |
75 | 9×213334487 + 1 | 31 March 2020 | 4,014,082 |
76 | 206039×213104952 - 1 | 26 April 2021 | 3,944,989 |
77 | 2805222×55610444 + 1 | 2 September 2019 | 3,921,539 |
78 | 19249×213018586 + 1 | 26 March 2007 | 3,918,990 |
79 | 2293×212918431 - 1 | 13 February 2021 | 3,888,839 |
80 | 81×212804541 + 1 | 19 September 2022 | 3,854,553 |
81 | 4×55380542 + 1 | 22 February 2023 | 3,760,839 |
82 | 9×212406887 + 1 | 29 March 2020 | 3,734,847 |
83 | 7×212286041 - 1 | 10 June 2023 | 3,698,468 |
84 | 10913140524288 + 1 | 19 June 2024 | 3,689,913 |
85 | 69×212231580 - 1 | 27 July 2021 | 3,682,075 |
86 | 27×212184319 + 1 | 6 February 2021 | 3,667,847 |
87 | 9332124524288 + 1 | 22 June 2024 | 3,654,278 |
88 | 8630170524288 + 1 | 13 April 2024 | 3,636,472 |
89 | 11×211993994 − 1 | 15 August 2024 | 3,610,554 |
90 | 3761×211978874 − 1 | 6 July 2022 | 3,606,004 |
91 | 95×211954552 − 1 | 28 May 2024 | 3,598,681 |
92 | 3×211895718 − 1 | 23 June 2015 | 3,580,969 |
93 | 37×211855148 + 1 | 30 May 2022 | 3,568,757 |
94 | 6339004524288 + 1 | 8 June 2023 | 3,566,218 |
95 | 763795×64582771 + 1 | 11 December 2023 | 3,566,095 |
96 | 5897794524288 + 1 | 18 December 2022 | 3,549,792 |
97 | 3×211731850 − 1 | 13 March 2015 | 3,531,640 |
98 | 69×211718455 − 1 | 4 December 2020 | 3,527,609 |
99 | 41×211676439 + 1 | 20 June 2022 | 3,514,960 |
100 | 4896418524288 + 1 | 15 May 2022 | 3,507,424 |
101 | 81×211616017 + 1 | 30 August 2022 | 3,496,772 |
102 | 69×211604348 − 1 | 4 December 2020 | 3,493,259 |
103 | 4450871×64450871 + 1 | 17 September 2023 | 3,463,458 |
104 | 9×211500843 + 1 | 13 March 2020 | 3,462,100 |
105 | 3×211484018 − 1 | 22 November 2014 | 3,457,035 |
106 | 193997×211452891 +1 | 3 April 2018 | 3,447,670 |
107 | 3638450524288 +1 | 29 May 2020 | 3,439,810 |
108 | 9221×211392194 -1 | 7 February 2021 | 3,429,397 |
109 | 9×211366286 +1 | 26 March 2020 | 3,421,594 |
110 | 5×211355764 -1 | 2 October 2021 | 3,418,427 |
111 | 732050×64392301 +1 | 9 September 2023 | 3,417,881 |
112 | 3214654524288 +1 | 24 December 2019 | 3,411,613 |
113 | 146561×211280802 -1 | 16 November 2020 | 3,395,865 |
114 | 51208×54857576 +1 | 6 June 2024 | 3,395,305 |
115 | 2985036524288 +1 | 18 September 2019 | 3,394,739 |
116 | 6929×211255424 -1 | 7 July 2022 | 3,388,225 |
117 | 2877652524288 +1 | 29 June 2019 | 3,386,397 |
118 | 2788032524288 +1 | 17 April 2019 | 3,379,193 |
119 | 2733014524288 +1 | 18 March 2019 | 3,374,655 |
120 | 9×211158963 +1 | 13 March 2020 | 3,359,184 |
121 | 9271×211134335 -1 | 17 January 2021 | 3,351,773 |
122 | 136804×54777253 -1 | 1 March 2024 | 3,339,162 |
123 | 2312092524288+1 | 4 August 2018 | 3,336,572 |
124 | 2061748524288+1 | 20 March 2018 | 3,310,478 |
125 | 1880370524288 + 1 | 15 January 2018 | 3,289,511 |
126 | 27×210902757 - 1 | 7 March 2022 | 3,282,059 |
127 | 3×210829346 + 1 | 14 January 2014 | 3,259,959 |
128 | 11×210803449 + 1 | 29 May 2022 | 3,252,164 |
129 | 11×210797109 + 1 | 29 May 2022 | 3,250,255 |
130 | 7×210612737 - 1 | 19 May 2022 | 3,194,154 |
131 | 37×210599476 + 1 | 17 June 2022 | 3,190,762 |
132 | 5×210495620 - 1 | 26 September 2021 | 3,159,498 |
133 | 30 June 2023 | 3,153,105 | |
134 | 5×210349000 - 1 | 26 September 2021 | 3,115,361 |
135 | 17 January 2017 | 3,107,335 | |
136 | 52922×54399812-1 | 3 August 2023 | 3,075,342 |
137 | 14 January 2017 | 3,068,389 | |
138 | 177742×54386703-1 | 24 July 2023 | 3,066,180 |
139 | 874208×541748416-1 | 26 September 2019 | 3,028,951 |
140 | 475856524288 + 1 | 8 August 2012 | 2,976,633 |
141 | 2×36236772+1 | 20 December 2022 | 2,975,697 |
142 | 15×39830108+1 | 19 August 2023 | 2,959,159 |
143 | 9×29778263+1 | 5 August 2020 | 2,943,552 |
144 | 1806676×411806676+1 | 11 March 2018 | 2,913,785 |
145 | 356926524288 + 1 | 20 June 2012 | 2,911,151 |
146 | 341112524288 + 1 | 15 June 2012 | 2,900,832 |
147 | 213988×54138363-1 | 29 November 2022 | 2,892,597 |
148 | 43×29596983-1 | 28 February 2022 | 2,888,982 |
149 | 121×29584444+1 | 18 November 2020 | 2,885,208 |
150 | 15×29482269-1 | 14 August 2024 | 2,854,449 |
151 | 11×29381365+1 | 7 March 2020 | 2,824,074 |
152 | 15×29312889+1 | 7 August 2023 | 2,803,461 |
153 | 49×29187790+1 | 11 September 2022 | 2,765,803 |
154 | 27653×29167433 + 1 | 8 June 2005 | 2,759,677 |
155 | 90527×29162167 + 1 | 30 June 2010 | 2,758,093 |
156 | 6795×29144320 - 1 | 31 March 2021 | 2,752,719 |
157 | 75×29079482+1 | 25 July 2023 | 2,733,199 |
158 | 1323365×1161323365+1 | 18 January 2018 | 2,732,038 |
159 | 57×29075622-1 | 7 August 2022 | 2,732,037 |
160 | 102718281-5×101631138-5×101087142-1 | 6 August 2024 | 2,718,281 |
161 | 63838×53887851-1 | 19 June 2022 | 2,717,497 |
162 | 13×28989858 + 1 | 10 March 2020 | 2,706,219 |
163 | 4159×28938471 - 1 | 19 April 2022 | 2,690,752 |
164 | 273809×28932416 − 1 | 13 December 2017 | 2,688,931 |
165 | 93×28898285 + 1 | 4 March 2024 | 2,678,653 |
166 | 2×35570081 + 1 | 14 February 2020 | 2,657,605 |
167 | 25×28788628 + 1 | 1 March 2021 | 2,645,643 |
168 | 2038×3661028507 − 1 | 4 April 2016 | 2,636,562 |
169 | 64598×53769854 - 1 | 14 June 2022 | 2,635,020 |
170 | 63×28741225 + 1 | 6 May 2024 | 2,631,373 |
171 | 8×785900325 + 1 | 4 June 2022 | 2,606,325 |
172 | 17×28636199 + 1 | 17 February 2021 | 2,599,757 |
173 | 75898524288 + 1 | 19 November 2011 | 2,558,647 |
174 | 25×28456828 + 1 | 27 January 2021 | 2,545,761 |
175 | 39×28413422 + 1 | 23 January 2021 | 2,532,694 |
176 | 31×28348000 + 1 | 19 January 2021 | 2,513,000 |
177 | 27×28342438 - 1 | 1 February 2021 | 2,511,326 |
178 | 3867×28261084 - 1 | 14 April 2021 | 2,486,838 |
179 | 101×28152967 + 1 | 2 December 2023 | 2,454,290 |
180 | 273662×53493296 - 1 | 7 December 2021 | 2,441,715 |
181 | 81×28109236 + 1 | 9 September 2022 | 2,441,126 |
182 | 11×28103463 + 1 | 6 March 2020 | 2,439,387 |
183 | 102818×53440382 - 1 | 8 October 2021 | 2,404,729 |
184 | 11×27971110 - 1 | 25 November 2019 | 2,399,545 |
185 | 27×27963247 + 1 | 14 January 2021 | 2,397,178 |
186 | 3177×27954621 - 1 | 13 June 2021 | 2,394,584 |
187 | 39×27946769 + 1 | 14 January 2021 | 2,392,218 |
188 | 7×63072198 + 1 | 4 August 2019 | 2,390,636 |
189 | 3765×27904593 - 1 | 10 January 2021 | 2,379,524 |
190 | 29×27899985 + 1 | 14 January 2021 | 2,378,134 |
191 | 5113×27895471 - 1 | 27 November 2022 | 2,376,778 |
192 | 861×27895451 - 1 | 21 February 2021 | 2,376,771 |
193 | 75×27886683 + 1 | 4 September 2023 | 2,374,131 |
194 | 99×27830910 + 1 | 24 April 2024 | 2,357,341 |
195 | 28433×27830457 + 1 | 31 December 2004 | 2,357,207 |
196 | 2589×27803339 - 1 | 21 August 2022 | 2,349,043 |
197 | 59×27792307 + 1 | 24 April 2024 | 2,345,720 |
198 | 101×27784453 + 1 | 24 April 2024 | 2,343,356 |
199 | 95×27778585 + 1 | 24 April 2024 | 2,341,590 |
200 | 8401×27767655 - 1 | 24 April 2023 | 2,338,302 |
201 | 9693×27767343 - 1 | 17 November 2023 | 2,338,208 |
202 | 5×27755002 - 1 | 23 September 2021 | 2,334,489 |
203 | 2945×27753232 - 1 | 27 November 2022 | 2,333,959 |
204 | 63×27743186 + 1 | 24 April 2024 | 2,330,934 |
205 | 2545×27732265 - 1 | 13 January 2021 | 2,327,648 |
206 | 5539×27730709 - 1 | 15 January 2021 | 2,327,180 |
207 | 4817×27719584 - 1 | 13 June 2021 | 2,323,831 |
208 | 183×558842752 + 1 | 23 August 2024 | 2,314,734 |
209 | 1341174×531341174 + 1 | 21 August 2017 | 2,312,561 |
210 | 9467×27680034 - 1 | 20 February 2022 | 2,311,925 |
211 | 45×27661004 + 1 | 13 December 2020 | 2,306,194 |
212 | 15×27619838 + 1 | 6 December 2020 | 2,293,801 |
213 | 3597×27580693 - 1 | 10 January 2021 | 2,282,020 |
214 | 3129×27545557 - 1 | 14 March 2023 | 2,271,443 |
215 | 7401×27523295 - 1 | 21 February 2021 | 2,264,742 |
216 | 45×27513661 + 1 | 12 November 2020 | 2,261,839 |
217 | 11 January 2017 | 2,259,865 | |
218 | 9×27479919 - 1 | 3 June 2023 | 2,251,681 |
219 | 1875×27474308 - 1 | 21 August 2022 | 2,249,995 |
220 | 69×27452023 + 1 | 23 March 2023 | 2,243,285 |
221 | 1281879×27447178 + 1 | 27 December 2023 | 2,241,831 |
222 | 4×53189669 - 1 | 12 July 2022 | 2,229,484 |
223 | 29×27374577 + 1 | 27 October 2020 | 2,219,971 |
224 | 3197×27359542 - 1 | 27 November 2022 | 2,215,447 |
225 | 109838×53168862 - 1 | 13 August 2020 | 2,214,945 |
226 | 95×27354869 + 1 | 25 September 2023 | 2,214,039 |
227 | 101×27345194 - 1 | 5 October 2019 | 2,211,126 |
228 | 85×27333444 + 1 | 25 September 2023 | 2,207,589 |
229 | 15×27300254 + 1 | 25 October 2020 | 2,197,597 |
230 | 422429! + 1 | 21 February 2022 | 2,193,027 |
231 | 1759×27284439 - 1 | 28 August 2021 | 2,192,838 |
232 | 1909683×141909683 + 1 | 27 May 2023 | 2,188,748 |
233 | 737×27269322 − 1 | 10 August 2017 | 2,188,287 |
234 | 93×27241494 + 1 | 25 September 2023 | 2,179,909 |
235 | 118568×53112069 + 1 | 1 May 2020 | 2,175,248 |
236 | 580633×27208783 − 1 | 15 February 2024 | 2,170,066 |
237 | 6039×27207973 − 1 | 24 March 2021 | 2,169,820 |
238 | 502573×27181987 − 1 | 4 October 2014 | 2,162,000 |
239 | 402539×27173024 − 1 | 2 October 2014 | 2,159,301 |
240 | 3343×27166019 - 1 | 29 September 2016 | 2,157,191 |
241 | 161041×27107964 + 1 | 6 January 2015 | 2,139,716 |
242 | 294×213918952-1 | 19 September 2023 | 2,139,672 |
243 | 27×27046834+1 | 11 October 2018 | 2,121,310 |
244 | 1759×27046791 - 1 | 28 August 2021 | 2,121,299 |
245 | 327×27044001 - 1 | 13 January 2021 | 2,120,459 |
246 | 5×27037188 - 1 | 22 September 2021 | 2,118,406 |
247 | 3×27033641 + 1 | 21 February 2011 | 2,117,338 |
248 | 625783×27031319 - 1 | 10 February 2024 | 2,116,644 |
249 | 33661×27031232 + 1 | 30 October 2007 | 2,116,617 |
250 | 6 January 2017 | 2,114,016 | |
251 | 207494×53017502-1 | 16 March 2020 | 2,109,149 |
252 | 15×26993631-1 | 25 August 2021 | 2,105,294 |
253 | 8943501×26972593-1 | 8 January 2022 | 2,098,967 |
254 | 6020095×26972593-1 | 4 September 2022 | 2,098,967 |
255 | 26972593 – 1 | 1 June 1999 | 2,098,960 |
256 | 273×26963847-1 | 16 November 2022 | 2,096,330 |
257 | 6219×26958945-1 | 7 January 2021 | 2,094,855 |
258 | 51×26945567+1 | 26 May 2020 | 2,090,826 |
259 | 238694×52979422-1 | 12 March 2020 | 2,082,532 |
260 | 4×721119849 − 1 | 7 September 2016 | 2,079,933 |
261 | 33×26894190-1 | 27 July 2021 | 2,075,360 |
262 | 2345×26882320-1 | 13 April 2022 | 2,071,789 |
263 | 57×26857990+1 | 17 August 2023 | 2,064,463 |
264 | 146264×52953282-1 | 9 March 2020 | 2,064,261 |
265 | 69×26838971-1 | 1 March 2020 | 2,058,738 |
266 | 35816×52945294-1 | 5 March 2020 | 2,058,677 |
267 | 127×26836153-1 | 25 June 2018 | 2,057,890 |
268 | 19×26833086+1 | 24 October 2020 | 2,056,966 |
269 | 65×26810465 + 1 | 22 September 2023 | 2,050,157 |
270 | 40597×26808509 – 1 | 25 December 2013 | 2,049,571 |
271 | 283×26804701-1 | 19 January 2020 | 2,048,431 |
272 | 1861209×26789999+1 | 2 December 2020 | 2,044,000 |
273 | 5817×26789459-1 | 9 January 2021 | 2,043,835 |
274 | 8435×26786180-1 | 7 January 2021 | 2,042,848 |
275 | 51×26753404+1 | 26 May 2020 | 2,032,979 |
276 | 93×26750726+1 | 18 September 2023 | 2,032,173 |
277 | 69×26745775+1 | 21 March 2023 | 2,030,683 |
278 | 9995×26711008-1 | 31 December 2020 | 2,020,219 |
279 | 39×26684941+1 | 20 October 2020 | 2,012,370 |
280 | 6679881×26679881 + 1 | 25 July 2009 | 2,010,852 |
281 | 37×26660841 − 1 | 30 July 2014 | 2,005,115 |
282 | 39×26648997+1 | 20 October 2020 | 2,001,550 |
283 | 102000007-101127194-10872812-1 | 12 January 2024 | 2,000,007 |
284 | 102000005-101051046-10948958-1 | 6 January 2024 | 2,000,005 |
Largest known probable primes (PRPs)
[edit]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.
Rank[95] | Number | Discovery date | Decimal digits |
---|---|---|---|
1 | 8 May 2021 | 8,177,207 | |
2 | 20 April 2021 | 5,794,777 | |
3 | June 2021 | 4,556,209 | |
4 | November 2023 | 4,069,900 | |
5 | 213380298 – 27 | March 2021 | 4,027,872 |
6 | September 2013 | 4,025,533 | |
7 | September 2013 | 4,017,941 | |
8 | 3 July 2022 | 3,829,294 | |
9 | November 2023 | 3,804,150 | |
10 | 10 April 2023 | 3,789,365 | |
11 | July 2020 | 3,763,995 | |
12 | February 2024 | 3,602,847 | |
13 | January 2024 | 3,452,542 | |
14 | 9 July 2020 | 3,143,811 | |
15 | 29092392 + 40291 | February 2011 | 2,737,083 |
16 | October 2023 | 2,614,858 | |
17 | 3 June 2024 | 2,482,834 | |
18 | August 2020 | 2,449,236 | |
19 | August 2022 | 2,388,581 | |
20 | 50018654465 + 54465500186 | August 2024 | 2,368,940 |
21 | July 2021 | 2,358,349 | |
22 | February 2022 | 2,307,015 | |
23 | December 2023 | 2,239,990 | |
24 | 1 March 2018 | 2,201,714 | |
25 | December 2023 | 2,181,134 | |
26 | July 2024 | 2,174,370 | |
27 | F(10367321) | 10 August 2024 | 2,166,642 |
28 | July 2024 | 2,166,255 | |
29 | 34532794 + 45327943 | October 2023 | 2,162,693 |
30 | F(10317107) | 27 July 2024 | 2,156,148 |
31 | 27 October 2017 | 2,131,318 | |
32 | 360834356345 + 356345360834 | February 2024 | 2,003,304 |
33 | 360339356572 + 356572360339 | May 2024 | 2,000,656 |
See also
[edit]References
[edit]- ^ Caldwell, Chris K. "THE LARGEST KNOWN PRIMES (The 5,000 largest known primes)". Retrieved 23 November 2018.
- ^ "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.
- ^ "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 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 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. Retrieved on 2008-01-04.
- ^ 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
[edit]- Chris Caldwell, The Largest Known Primes Database at The PrimePages
- The 5000 largest known primes at The PrimePages
- The 10,000 largest known probable primes at primenumbers.net
- PrimeGrid’s 321 Prime Search, about the discovery of 3×26090515−1