The Top-20 Prime Gaps for all merits

This page is a dynamically generated version of the table from Jens Kruse Andersen's Top-20 page.

Gaps which are among the 20 largest with at least that merit
Rank Size Gap start Merit Discoverer Year
16582144PRP216841 = 499973#/30030 - 4509212 13.1829Martin Raab2017
25103138PRP216849 = 281*499979#/46410 - 2702372 10.2203Rob Smith2016
14680156PRP99750 = 230077#/2229464046810 - 3131794 20.3767Martin Raab2016
33870360PRP135376 = 2267*312583#/46410 - 1157722 12.4164Rob Smith2018
43377768PRP124421 = 181*287117#/46410 - 1546166 11.7902Rob Smith2018
53370374PRP129873 = 300007#/9699690 - 2004098 11.2705Martin Raab2017
23311852PRP97953 = 226007#/2310 - 2305218 14.6838Michiel Jansen and Jens Kruse Andersen2012
73190146PRP124421 = 71*287117#/46410 - 1867414 11.1353Rob Smith2018
33186150PRP104715 = 1067*241727#/46410 - 1433258 13.2143Rob Smith2018
93130254PRP124422 = 967*287117#/46410 - 1916282 10.9262Rob Smith2018
53101868PRP104714 = 523*241727#/46410 - 1839562 12.8648Rob Smith2018
113081120PRP124422 = 389*287117#/46410 - 1640854 10.7547Rob Smith2018
123006474PRP124422 = 613*287117#/46410 - 1686788 10.4941Rob Smith2018
62945060PRP99750 = 230077#/2227174919970 - 1072622 12.8223Martin Raab2016
82765878PRP100006 = 230567#/2310 - 939244 12.0114Michiel Jansen, Pierre Cami, J K Andersen2013
92724214PRP100000 = 230563#/2310 - 44352 11.8311Michiel Jansen and Jens Kruse Andersen2013
122586246PRP99750 = 230077#/2226554139810 - 1616044 11.2601Martin Raab2016
132559528PRP99750 = 230077#/2228280684630 - 961364 11.1438Martin Raab2016
162493532PRP99750 = 230077#/2227349514390 - 1441218 10.8564Martin Raab2016
182435476PRP99750 = 230077#/2226961526790 - 994222 10.6037Martin Raab2016
12332764PRP39279 = 90823#/510510 - 1065962 25.7927Martin Raab2017
122254930PRP86853 = 1122483511942968776411893033...11.2755Hans Rosenthal [Jens Kruse Andersen]2004
22079500PRP39284 = 90833#/510510 - 1177176 22.9895Martin Raab2017
42055816PRP56962 = 6887*(131591#)/2730 - 1381994 15.6743Pierre Cami2010
51575828PRP45334 = 104729#/2310 - 1282742 15.0964Michiel Jansen2012
41521800PRP39443 = 91193#/510510 - 371324 16.7563Martin Raab2017
51471730PRP39428 = 91159#/510510 - 804872 16.2111Martin Raab2017
61462522PRP39448 = 91229#/46056680670 - 853776 16.1016Martin Raab2015
101452592PRP43291 = 451*99991#/46410 - 1136946 14.5724Rob Smith2016
81419558PRP39364 = 91019#/510510 - 607058 15.6620Martin Raab2017
91417014PRP39387 = 91099#/9699690 - 762506 15.6246Martin Raab2017
131398354PRP45336 = 887*104729#/46410 - 1162948 13.3957Rob Smith2018
101390164PRP39398 = 91127#/510510 - 572762 15.3242Martin Raab2017
111386416PRP39309 = 90901#/510510 - 617466 15.3176Martin Raab2017
141321710PRP39282 = 90833#/223092870 - 666794 14.6129Martin Raab2017
161289448PRP39411 = 91141#/223092870 - 486524 14.2096Martin Raab2017
171289022PRP39445 = 91199#/223092870 - 589586 14.1924Martin Raab2017
11286500PRP21608 = Z*49999#/(510510*499) - 525318 25.8571Hans Rosenthal2016
191284234PRP39372 = 91079#/9699690 - 502828 14.1659Martin Raab2017
31260182PRP21609 = Z*49999#/(13#*4903) - 519438 25.3279Hans Rosenthal2017
41151150PRP21608 = Z*49999#/(17#*3511) - 439532 23.1376Hans Rosenthal2017
61113976PRP21610 = Z*49999#/(11#*1987) - 389212 22.3878Hans Rosenthal2017
11113106P18662 = 587*43103#/2310 - 455704 25.9045Michiel Jansen, Pierre Cami, J K Andersen2013
81084830PRP21609 = Z*49999#/(13#*4049) - 763076 21.8035Hans Rosenthal2017
91069640PRP21609 = Z*49999#/(13#*1709) - 479714 21.4978Hans Rosenthal2017
101045498PRP21609 = Z*49999#/(13#*4751) - 863196 21.0130Hans Rosenthal2017
121004972PRP21611 = Z*49999#/(13#*41) - 682886 20.1966Hans Rosenthal2017
121004840PRP21608 = Z*49999#/(17#*3119) - 793542 20.1968Hans Rosenthal2017
141002890PRP21610 = Z*49999#/(11#*4649) - 407228 20.1556Hans Rosenthal2017
15997164PRP21609 = Z*49999#/(13#*1201) - 466318 20.04Hans Rosenthal2017
16993888PRP21608 = Z*49999#/(17#*3779) - 290266 19.98Hans Rosenthal2017
5984108PRP16901 = 39161#/2310 - 510478 25.29Michiel Jansen2012
8973764PRP18648 = 431*43063#/2310 - 278398 22.68Michiel Jansen, Pierre Cami, J K Andersen2013
19967630PRP21610 = Z*49999#/(11#*4723) - 732430 19.45Hans Rosenthal2017
20960492PRP21609 = Z*49999#/(13#*3323) - 319268 19.30Hans Rosenthal2017
19875274PRP19263 = 44579#/2310 - 379448 19.73Pierre Cami2013
16865056PRP18636 = 44633*(43037#)/2310 - 394442 20.16Pierre Cami2013
10834114PRP16497 = 38231#/2310 - 393706 21.96Michiel Jansen2012
14818886PRP17071 = 39541#/2310 - 380216 20.83Michiel Jansen2012
20784246PRP16979 = 39323#/2310 - 490362 20.06Michiel Jansen2012
6566040PRP10449 = 24137#/2310 - 311774 23.53Michiel Jansen2012
12538328PRP10699 = 24821#/2310 - 362006 21.85Michiel Jansen2012
11535836PRP10569 = 24469#/30 - 374362 22.02Dana Jacobsen2015
1512226PRP7486 = 7613*17393#/46410 - 253388 29.72Rob Smith [Dana Jacobsen]2018
7418250PRP7713 = 11*17923#/46410 - 156344 23.55Rob Smith [Dana Jacobsen]2015
13384902PRP7473 = 17383#/30 - 77702 22.37Michiel Jansen2012
9383796P7183 = 9527*(16673#)/2310 - 175622 23.21Pierre Cami2010
2379304PRP6261 = 79*14593#/46410 - 129600 26.31Rob Smith [Dana Jacobsen]2015
13354616PRP6709 = 209*15581#/46410 - 259044 22.96Rob Smith [Dana Jacobsen]2018
17324618PRP6319 = 14731#/2310 - 206846 22.31Michiel Jansen2012
20322982PRP6415 = 23*14923#/41910 - 133916 21.87Antonio Key [Dana Jacobsen]2016
8321562PRP5685 = 13217#/3810 - 237136 24.57Antonio Key [Dana Jacobsen]2016
9310056PRP5521 = 187*12841#/46410 - 90894 24.39Rob Smith [Dana Jacobsen]2018
1309030PRP4223 = Z*9787#/(7#*641) - 130308 31.78Hans Rosenthal2015
4298728PRP4959 = 5077*11579#/46410 - 125194 26.17Rob Smith [Dana Jacobsen]2017
19298302PRP5753 = 10025*13381#/46410 - 147878 22.52Rob Smith [Dana Jacobsen]2017
12289348PRP5183 = 10039*12101#/46410 - 204172 24.25Rob Smith [Dana Jacobsen]2017
10288336PRP5084 = 353*11887#/46410 - 177450 24.64Rob Smith [Dana Jacobsen]2018
2286764PRP4180 = Z*9689#/(30*431) - 183902 29.79Hans Rosenthal2015
15284942PRP5132 = 41*11971#/46410 - 99908 24.12Rob Smith [Dana Jacobsen]2015
4282702PRP4607 = 8173*10711#/46410 - 229036 26.65Rob Smith [Dana Jacobsen]2018
17281820PRP5136 = 11*11981#/5610 - 114602 23.83Dana Jacobsen2017
5280566PRP4604 = 103267*10709#/46410 - 119836 26.47Rob Smith [Dana Jacobsen]2018
4280364PRP4177 = 599*9721#/53130 - 99000 29.16Antonio Key [Dana Jacobsen]2016
5278508PRP4249 = Z*9839#/(11#*8731) - 140594 28.47Hans Rosenthal2015
19273930PRP4926 = 4939*11489#/46410 - 86804 24.15Rob Smith [Dana Jacobsen]2017
6272586PRP4294 = Z*9931#/(7#*9721) - 153812 27.57Hans Rosenthal2015
6270602PRP4242 = Z*9829#/(11#*383) - 120126 27.70Hans Rosenthal2015
17269234PRP4737 = 11057#/2310 - 196998 24.68Michiel Jansen2012
16268128PRP4599 = 21527*10691#/46410 - 158344 25.32Rob Smith [Dana Jacobsen]2018
6265242PRP4088 = 1500401*9491#/41910 - 108898 28.18Antonio Key [Dana Jacobsen]2017
19264324PRP4604 = 69949*10709#/46410 - 103902 24.94Rob Smith [Dana Jacobsen]2018
9263648PRP4238 = Z*9817#/(11#*2267) - 146274 27.02Hans Rosenthal2015
9263574PRP4235 = Z*9811#/(7#*1223) - 135066 27.03Hans Rosenthal2015
5262726PRP3995 = Z*9293#/(19#*7753) - 138310 28.57Hans Rosenthal2017
19262686PRP4466 = 78457*10343#/30 - 114298 25.55Dana Jacobsen2016
20260910PRP4466 = 23827*10343#/30 - 89092 25.38Dana Jacobsen2015
9258246PRP4068 = Z*9437#/(17#*4241) - 87762 27.58Hans Rosenthal2017
17255056PRP4263 = Z*9859#/(7#*401) - 167714 25.98Hans Rosenthal2015
13254622PRP4124 = Z*9547#/(30*5711) - 117146 26.82Hans Rosenthal2017
19254544PRP4264 = 257*9901#/66990 - 62386 25.93Antonio Key [Dana Jacobsen]2017
15252708PRP4120 = Z*9547#/(17#*3733) - 143196 26.64Hans Rosenthal2017
16252674PRP4139 = 80963*9629#/46410 - 136182 26.52Rob Smith [Dana Jacobsen]2018
18251404PRP4136 = Z*9613#/(17#*2039) - 106470 26.40Hans Rosenthal2017
11250608PRP3999 = Z*9293#/(7#*7589) - 124970 27.22Hans Rosenthal2017
15246356PRP4008 = Z*9319#/(30*7213) - 85934 26.70Hans Rosenthal2017
11228294PRP3637 = 250033*8521#/9570 - 87378 27.26Antonio Key [Dana Jacobsen]2016
9226278PRP3559 = 1349*8297#/30 - 71384 27.61Dana Jacobsen2017
14225082PRP3610 = 250027*8431#/24090 - 168136 27.09Antonio Key [Dana Jacobsen]2016
12222854PRP3515 = 10000129*8221#/2221230 - 143886 27.54Antonio Key [Dana Jacobsen]2016
8219762PRP3444 = 30559*8059#/46410 - 127400 27.72Rob Smith [Dana Jacobsen]2018
14213780PRP3400 = 6239*7933#/46410 - 138382 27.31Rob Smith [Dana Jacobsen]2018
8209912PRP3244 = 4141*7577#/46410 - 82974 28.10Rob Smith [Dana Jacobsen]2015
18194460PRP3109 = 7559*7247#/46410 - 70298 27.17Rob Smith [Dana Jacobsen]2016
4193396PRP2843 = 250379*6653#/9570 - 116502 29.55Antonio Key [Dana Jacobsen]2016
10189570PRP2940 = 7523*6863#/46410 - 72434 28.01Rob Smith [Dana Jacobsen]2016
4180852PRP2658 = 56129*6217#/46410 - 108638 29.55Rob Smith [Dana Jacobsen]2018
7179548PRP2721 = 6353#/433230 - 112542 28.66Dana Jacobsen2015
19177748PRP2818 = 32537*6577#/46410 - 136866 27.40Rob Smith [Dana Jacobsen]2018
14173800PRP2725 = 6359#/606270 - 132222 27.71Dana Jacobsen2015
8165894PRP2519 = 250991*5867#/24090 - 67036 28.60Antonio Key [Dana Jacobsen]2016
2157194PRP2247 = 2903*5279#/46410 - 73662 30.38Rob Smith [Dana Jacobsen]2015
1157178PRP2145 = 422569*5009#/30 - 96332 31.83Dana Jacobsen2016
16155808PRP2435 = 20197*5689#/30 - 119230 27.80Dana Jacobsen2017
13153846PRP2368 = 14891*5531#/46410 - 45748 28.23Rob Smith [Dana Jacobsen]2018
13146856PRP2252 = 200969*5279#/210 - 104514 28.33Michiel Jansen2017
18143692PRP2243 = 6091*5261#/210 - 51838 27.83Michiel Jansen, Pierre Cami, J K Andersen2013
15135232PRP2084 = 4919#/400470 - 58062 28.19Dana Jacobsen2014
12135182PRP2060 = 35939*4817#/7410 - 66824 28.50Dana Jacobsen2015
12131574PRP2005 = 949*4691#/210 - 65386 28.50Dana Jacobsen2016
3128826PRP1797 = 108323*4217#/46410 - 85220 31.14Rob Smith [Dana Jacobsen]2018
4125078PRP1782 = 140759*4157#/30 - 55914 30.49Dana Jacobsen2017
1120664PRP1622 = 4999*3803#/510510 - 71716 32.32Michiel Jansen, Pierre Cami, J K Andersen2013
7116676PRP1669 = 1289*3917#/9570 - 19498 30.36Antonio Key [Dana Jacobsen]2015
2109776PRP1479 = 98543*3491#/7410 - 57272 32.25Dana Jacobsen2016
14109084PRP1649 = 125459*3853#/30 - 25822 28.74Dana Jacobsen2017
13104094PRP1548 = 5279*3631#/30030 - 78094 29.21Michiel Jansen, Pierre Cami, J K Andersen2013
6101616PRP1433 = 64279*3371#/5610 - 71678 30.81Dana Jacobsen2018
12101028PRP1480 = 7387*3499#/46410 - 43598 29.65Rob Smith [Dana Jacobsen]2016
1799868PRP1493 = 97577*3527#/5610 - 55162 29.06Dana Jacobsen2018
799160P1411 = 27509*3329#/5610 - 60222 30.53Dana Jacobsen2018
1691644P1359 = 89557*3209#/5610 - 56116 29.30Dana Jacobsen2018
2090928P1361 = 43819*3217#/30030 - 43266 29.02Michiel Jansen, Pierre Cami, J K Andersen2013
789028PRP1258 = 346511*2953#/46410 - 53826 30.76Rob Smith [Dana Jacobsen]2018
1286934P1260 = 5749*2957#/7770 - 54760 29.98Michiel Jansen, Pierre Cami, J K Andersen2013
586676PRP1206 = 950603*2819#/46410 - 52594 31.22Rob Smith [Dana Jacobsen]2018
1385686P1237 = 41291*2897#/2310 - 27720 30.09Michiel Jansen, Pierre Cami, J K Andersen2013
984766P1199 = 967*2803#/116970 - 51892 30.71Dana Jacobsen2015
1782478P1204 = 2000857*2803#/9570 - 43592 29.77Antonio Key [Dana Jacobsen]2016
1980298PRP1175 = 607741*2749#/46410 - 15172 29.70Rob Smith [Dana Jacobsen]2018
1578260PRP1133 = 123013*2683#/46410 - 42588 30.01Rob Smith [Dana Jacobsen]2018
177640P1033 = 4000009*2417#/3990 - 56998 32.65Antonio Key [Dana Jacobsen]2017
1877256P1127 = 1763*2677#/252210 - 44862 29.79Dana Jacobsen2015
676606P1059 = 209699*2477#/2310 - 40452 31.42Dana Jacobsen2017
1673200P1056 = 547*2503#/38708670 - 40694 30.12Dana Jacobsen2015
171766P905 = 551249*2131#/2310 - 19200 34.46Dana Jacobsen2017
371046P948 = 961*2267#/39669630 - 53540 32.56Dana Jacobsen2015
170862P885 = 2000497*2087#/21210 - 28874 34.81Antonio Key [Dana Jacobsen]2017
969802P964 = 1081147*2273#/30 - 43716 31.46Dana Jacobsen2018
568202P914 = 3000311*2143#/109410 - 30556 32.42Antonio Key [Dana Jacobsen]2017
1466816P938 = 4379323*2213#/30 - 27212 30.96Dana Jacobsen2018
166520P816 = 1931*1933#/7230 - 30244 35.42Michiel Jansen2012
1565412P915 = 476543*2143#/2310 - 47638 31.07Dana Jacobsen2017
2064608P914 = 4453043*2141#/30 - 35132 30.70Dana Jacobsen2017
463524P842 = 1777*1999#/28770 - 25458 32.79Dana Jacobsen2014
1262724P865 = 470977*2039#/2310 - 26630 31.51Dana Jacobsen2017
1562240P865 = 61*2063#/2164470 - 40332 31.27Dana Jacobsen2014
1262110P852 = 250007*2017#/3398010 - 31522 31.69Antonio Key [Dana Jacobsen]2017
1061578P837 = 2000461*1993#/308910 - 28716 31.96Antonio Key [Dana Jacobsen]2017
1660578P838 = 1563877*1993#/46410 - 27164 31.42Rob Smith [Dana Jacobsen]2018
460310P789 = 4787761*1867#/30 - 32866 33.22Dana Jacobsen2017
1959690P829 = 7831699*1951#/30 - 33042 31.30Dana Jacobsen2017
1756124P775 = 1469789*1823#/30 - 19330 31.45Dana Jacobsen2017
555982P736 = 377893*1723#/30 - 28904 33.06Dana Jacobsen2016
1654880P757 = 11459759*1783#/46410 - 20122 31.51Rob Smith [Dana Jacobsen]2016
1351942P708 = 5785759*1657#/30 - 34448 31.89Dana Jacobsen2016
551510P677 = 250303*1601#/304710 - 26218 33.07Antonio Key [Dana Jacobsen]2017
1350866P686 = 61*1619#/325290 - 36460 32.22Dana Jacobsen2014
1146410P624 = 207203*1483#/9870 - 26744 32.32Dana Jacobsen2014
2044720P614 = 31591*1459#/6810 - 28922 31.66Dana Jacobsen2015
442242P537 = 30890119*1277#/210 - 25328 34.20Dana Jacobsen2017
1840710P555 = 385489*1303#/5610-26218 31.86Dana Jacobsen2018
1639534P537 = 41421617*1277#/210 - 24328 32.00Dana Jacobsen2017
1139408P528 = 65900393*1237#/210 - 25780 32.45Dana Jacobsen2017
1738348P518 = 916949*1229#/46410 - 7478 32.21Rob Smith [Dana Jacobsen]2018
1137854P506 = 37081627*1193#/210 - 26662 32.52Dana Jacobsen2017
1937816P512 = 31333343*1213#/210 - 25566 32.10Dana Jacobsen2017
2037786P512 = 53935267*1213#/210 - 6400 32.06Dana Jacobsen2017
1436810P494 = 58834877*1163#/210 - 20676 32.39Dana Jacobsen2017
1235960P481 = 28455187*1123#/210 - 6452 32.47Dana Jacobsen2017
535004P454 = 43882589*1063#/210 - 28456 33.50Dana Jacobsen2016
2030450P411 = 31421*991#/1979670 - 14316 32.22Dana Jacobsen2014
1030096P400 = 90883183*947#/210 - 14698 32.68Dana Jacobsen2016
529620P384 = 9741103*911#/2310 - 12058 33.58Dana Jacobsen2015
327666P347 = 46349070720025037040361858900129...34.66Gapcoin [Jonny Frey]2017
1127480P364 = 4400747*859#/210 - 13810 32.86Dana Jacobsen2015
327340P343 = 859815949*811#/210 - 12372 34.71Dana Jacobsen2017
126892P321 = 59740589*757#/210 - 14302 36.42Dana Jacobsen2016
826858P347 = 32398179578917147228441449421730...33.66Gapcoin [Jonny Frey]2017
226730P325 = 450595853*761#/210 - 11444 35.78Dana Jacobsen2017
1226250P343 = 815393669*811#/210 - 16800 33.33Dana Jacobsen2017
126054P306 = 1780005161*719#/30 - 17768 37.01Dana Jacobsen2017
1525888P340 = 691602991*809#/210 - 14286 33.16Dana Jacobsen2017
1025408P325 = 488612801*761#/210 - 9606 34.01Dana Jacobsen2017
1525116P328 = 18631559*773#/2310 - 14114 33.28Michiel Jansen2018
1225068P324 = 129059053*761#/210 - 17778 33.61Dana Jacobsen2017
1425056P325 = 981508153*761#/210 - 6964 33.51Dana Jacobsen2017
424818P303 = 1861217329*709#/30 - 14510 35.58Dana Jacobsen2017
324416P295 = 1674418607*683#/30 - 15230 36.02Dana Jacobsen2017
1424412P316 = 222001243*743#/210 - 8922 33.61Dana Jacobsen2016
724008P299 = 171346649*701#/210 - 6918 34.96Dana Jacobsen2016
1223812P302 = 771090353*709#/210 - 21652 34.28Dana Jacobsen2016
1423790P303 = 1303953091*709#/30 - 17348 34.12Dana Jacobsen2017
623548P289 = 1686573059*673#/30 - 12618 35.42Dana Jacobsen2017
1522704P289 = 18961493*677#/210 - 12370 34.15Dana Jacobsen2016
1922474P291 = 891555797*677#/210 - 17620 33.61Dana Jacobsen2016
1822352P288 = 146065159*673#/30 - 13242 33.75Dana Jacobsen2016
1222040P278 = 1371215149*647#/30 - 9708 34.52Dana Jacobsen2017
2021300P275 = 1077133691*643#/30 - 12316 33.71Dana Jacobsen2016
1221126P266 = 844298401*619#/210 - 10510 34.62Dana Jacobsen2016
819474P241 = 1485582109*571#/210 - 7576 35.20Dana Jacobsen2016
1219170P241 = 820696571*571#/210 - 9428 34.69Dana Jacobsen2016
1118840P236 = 962682899*563#/30 - 3918 34.76Dana Jacobsen2016
118306P209 = 650094367*491#/2310 - 8936 38.07Dana Jacobsen2017
115900P175 = 3483347771*409#/30 - 7016 39.62Dana Jacobsen2017
1914614P185 = 898651*443#/7710 - 7186 34.48Dana Jacobsen2015
1413720P172 = 1635156743*409#/5610 - 7302 34.71Dana Jacobsen2018
1713704P172 = 558020653*409#/2310 - 4196 34.68Dana Jacobsen2016
413692P163 = 1037600971*383#/210 - 8776 36.59Dana Jacobsen2016
813024P159 = 2182723831*373#/30 - 6894 35.68Dana Jacobsen2017
1412742P159 = 3957454057*373#/30 - 8124 34.85Dana Jacobsen2017
1011924P147 = 4588394369*347#/30 - 7200 35.45Dana Jacobsen2016
1811350P142 = 693236519*337#/210 - 2778 34.75Dana Jacobsen2016
1510942P137 = 6436615289*313#/30 - 1942 34.91Dana Jacobsen2016
410716P127 = 7910896513*283#/30 - 6480 36.86Dana Jacobsen2016
89006P110 = 4280516017*257#/5610 - 2560 35.85Dana Jacobsen2018
38382P97 = 512950801*229#/5610-4138 37.82Dana Jacobsen2018
18350P87 = 293703234068022590158723766104419...41.94Gapcoin [Jonny Frey]2017
67362P87 = 378827142897837318640393449029842...36.93Gapcoin [Jonny Frey]2017
196570P82 = 8759562857*191#/5610 - 1172 35.14Dana Jacobsen2018
181476P19 = 1425172824437699411 35.31Tomás Oliveira e Silva2009

Z = 1111111111111111111

Merit file date: 2018-12-30