Distribution of PRP data:
Mersenne Prime51
Probable Prime357
Not PRP563,113
unknown1,173,519
Assigned7

range: M – M (up to 1000 exponents shown per page)

RankExponentKnown FactorsPRP
1M2Mersenne Prime!
2M3Mersenne Prime!
3M5Mersenne Prime!
4M7Mersenne Prime!
1M11
23
hide decimal representation
P2
89
fully
factored
5M13Mersenne Prime!
6M17Mersenne Prime!
7M19Mersenne Prime!
2M23
47
hide decimal representation
P6
178481
fully
factored
3M29
233
1103
hide decimal representation
P4
2089
fully
factored
8M31Mersenne Prime!
4M37
223
hide decimal representation
P9
616318177
fully
factored
5M41
13367
hide decimal representation
P9
164511353
fully
factored
6M43
431
9719
hide decimal representation
P7
2099863
fully
factored
7M47
2351
4513
hide decimal representation
P8
13264529
fully
factored
8M53
6361
69431
hide decimal representation
P8
20394401
fully
factored
9M59
179951
hide decimal representation
P13
3203431780337
fully
factored
9M61Mersenne Prime!
10M67
193707721
hide decimal representation
P12
761838257287
fully
factored
11M71
228479
48544121
hide decimal representation
P9
212885833
fully
factored
12M73
439
2298041
hide decimal representation
P13
9361973132609
fully
factored
13M79
2687
202029703
hide decimal representation
P13
1113491139767
fully
factored
14M83
167
hide decimal representation
P23
57912614113275649087721
fully
factored
10M89Mersenne Prime!
15M97
11447
hide decimal representation
P26
13842607235828485645766393
fully
factored
16M101
7432339208719
hide decimal representation
P18
341117531003194129
fully
factored
17M103
2550183799
hide decimal representation
P22
3976656429941438590393
fully
factored
11M107Mersenne Prime!
18M109
745988807
hide decimal representation
P24
870035986098720987332873
fully
factored
19M113
3391
23279
65993
1868569
hide decimal representation
P16
1066818132868207
fully
factored
12M127Mersenne Prime!
20M131
263
hide decimal representation
P38
10350794431055162386718619237468234569
fully
factored
21M137
32032215596496435569
hide decimal representation
P22
5439042183600204290159
fully
factored
22M139
5625767248687
hide decimal representation
P30
123876132205208335762278423601
fully
factored
23M149
86656268566282183151
hide decimal representation
P25
8235109336690846723986161
fully
factored
24M151
18121
55871
165799
2332951
hide decimal representation
P25
7289088383388253664437433
fully
factored
25M157
852133201
60726444167
1654058017289
hide decimal representation
P16
2134387368610417
fully
factored
26M163
150287
704161
110211473
27669118297
hide decimal representation
P20
36230454570129675721
fully
factored
27M167
2349023
hide decimal representation
P44
79638304766856507377778616296087448490695649
fully
factored
28M173
730753
1505447
70084436712553223
hide decimal representation
P24
155285743288572277679887
fully
factored
29M179
359
1433
hide decimal representation
P49
1489459109360039866456940197095433721664951999121
fully
factored
30M181
43441
1164193
7648337
hide decimal representation
P37
7923871097285295625344647665764672671
fully
factored
31M191
383
7068569257
39940132241
332584516519201
hide decimal representation
P20
87274497124602996457
fully
factored
32M193
13821503
61654440233248340616559
hide decimal representation
P29
14732265321145317331353282383
fully
factored
33M197
7487
hide decimal representation
P56
26828803997912886929710867041891989490486893845712448833
fully
factored
34M199
164504919713
hide decimal representation
P49
4884164093883941177660049098586324302977543600799
fully
factored
35M211
15193
60272956433838849161
hide decimal representation
P40
3593875704495823757388199894268773153439
fully
factored
36M223
18287
196687
1466449
2916841
1469495262398780123809
hide decimal representation
P24
596242599987116128415063
fully
factored
37M227
26986333437777017
hide decimal representation
P52
7992177738205979626491506950867720953545660121688631
fully
factored
38M229
1504073
20492753
59833457464970183
hide decimal representation
P39
467795120187583723534280000348743236593
fully
factored
39M233
1399
135607
622577
hide decimal representation
P57
116868129879077600270344856324766260085066532853492178431
fully
factored
40M239
479
1913
5737
176383
134000609
hide decimal representation
P49
7110008717824458123105014279253754096863768062879
fully
factored
41M241
22000409
hide decimal representation
P66
160619474372352289412737508720216839225805656328990879953332340439
fully
factored
42M251
503
54217
178230287214063289511
61676882198695257501367
hide decimal representation
P26
12070396178249893039969681
fully
factored
43M257
535006138814359
1155685395246619182673033
hide decimal representation
P39
374550598501810936581776630096313181393
fully
factored
44M263
23671
13572264529177
120226360536848498024035943
hide decimal representation
P36
383725126655170964501315730676446647
fully
factored
45M269
13822297
hide decimal representation
P74
68625988504811774259364670661552948915363901845035416371912463477873783063
fully
factored
46M271
15242475217
hide decimal representation
P72
248927757868131890277330541567820045256364273970773286542188386932989391
fully
factored
47M277
1121297
31133636305610209482201109050392404721
hide decimal representation
P40
6955979459776540052280934851589652278783
fully
factored
48M281
80929
hide decimal representation
P80
48009215293052652841860443273079338843737271906291675944391068955229998769420319
fully
factored
49M283
9623
68492481833
hide decimal representation
P71
23579543011798993222850893929565870383844167873851502677311057483194673
fully
factored
50M293
40122362455616221971122353
hide decimal representation
P63
396645227028138890415611220710757921643910743103031701971222447
fully
factored
51M307
14608903
85798519
23487583303
78952752017
hide decimal representation
P57
112177476474470525577861298937835338545723093134076373561
fully
factored
52M311
5344847
2647649373910205158468946067671
hide decimal representation
P57
294803681348959296477194164064643062187559537539328375831
fully
factored
53M313
10960009
14787970697180273
3857194764289141165278097
hide decimal representation
P47
26693012026551688286164949958620483258358551879
fully
factored
54M317
9511
587492521482839879
4868122671322098041565641
hide decimal representation
P49
9815639231755686605031317440031161584572466128599
fully
factored
55M331
16937389168607
865118802936559
hide decimal representation
P72
298542624980197463613767215333569428005686468835821253721796682625551919
fully
factored
56M337
18199
2806537
95763203297
726584894969
hide decimal representation
P68
78778047326466742993612420842416198311394008068822475527239136925369
fully
factored
57M347
14143189112952632419639
P83
click to show decimal representation
fully
factored
58M349
1779973928671
34720396273212657799920861294559
hide decimal representation
P62
18555393648630683868229284313709360336855095474246691696225599
fully
factored
59M353
931921
2927455476800301964116805545194017
hide decimal representation
P67
6725414756111955781503880188940925566051960039574573675843402666863
fully
factored
60M359
719
855857
778165529
65877330027880703
370906580744492785430299503112990447
hide decimal representation
P39
100361196281293745682520861860411315001
fully
factored
61M367
12479
51791041
78138581882953
301311116540899114446723859201
hide decimal representation
P56
19755740081951910036006278827509875120092863638283602681
fully
factored
62M373
25569151
P105
click to show decimal representation
fully
factored
63M379
180818808679
P103
click to show decimal representation
fully
factored
64M383
1440847
7435494593
503823044204581129045587727
15174923558680812616818436353130417
hide decimal representation
P39
240522700235167893496900256599634325263
fully
factored
65M389
56478911
4765678679
P100
click to show decimal representation
fully
factored
66M397
2383
6353
50023
53993
202471
5877983
814132872808522587940886856743
1234904213576000272542841146073
hide decimal representation
P31
6597485910270326519900042655193
fully
factored
67M401
856971565399
2136958965524920285681
594538100848945223169882301931953
hide decimal representation
P55
4743358775443804666040010704534780418840545962266329593
fully
factored
68M409
4480666067023
76025626689833
P97
click to show decimal representation
fully
factored
69M419
839
903780021613921
5800422716722833271214743
10287968884341772230096159036619433593
hide decimal representation
P47
29919490848598531825060153417921002916701815927
fully
factored
70M421
614002928307599
P112
click to show decimal representation
fully
factored
71M431
863
3449
36238481
76859369
558062249
4642152737
142850312799017452169
hide decimal representation
P70
1807482391092819529831423005040763105191863029850140579776353298087457
fully
factored
72M433
22086765417396827057
737748363812546584876297
5028667832511715101284999
hide decimal representation
P63
270704078857734344240200528055897595961633472511075822112527121
fully
factored
73M439
104110607
127321491658223
122551752733003055543
P90
click to show decimal representation
fully
factored
74M443
887
207818990653657
P117
click to show decimal representation
fully
factored
75M449
1256303
6871197486841
3578620616468306981503
526385733768051189441947168504909159
hide decimal representation
P59
89396693392545895668303801721053258296972567022618106513441
fully
factored
76M457
150327409
P130
click to show decimal representation
fully
factored
77M461
2767
358228856441770927
7099353734763245383
P99
click to show decimal representation
fully
factored
78M463
11113
3407681
448747600991881
239932071009857681156251129
385606580062688087218266143
hide decimal representation
P62
15148264043785111348665069495360623752616947973471649653354617
fully
factored
79M467
121606801
1148984537885906196977362003686090739460725564747973734847
hide decimal representation
P76
2727318928892040009397199815225412029789790574177544409019502626344207905841
fully
factored
80M479
33385343
6293443049
683481445118041278287416124073722711169070307627777892361
hide decimal representation
P71
10869186607773319558730501484452015470992764113369214593828236615596881
fully
factored
81M487
4871
P143
click to show decimal representation
fully
factored
82M491
983
7707719
110097436327057
6976447052525718623
19970905118623195851890562673
3717542676439779473786876643915388439
hide decimal representation
P41
14797326616665978116353515926860025681383
fully
factored
83M499
20959
1998447222711143545931606352264121
P113
click to show decimal representation
fully
factored
84M503
3213684984979279
12158987054135300783
1873030665061080894263
P96
click to show decimal representation
fully
factored
85M509
12619129
19089479845124902223
647125715643884876759057
P104
click to show decimal representation
fully
factored
13M521Mersenne Prime!
86M523
160188778313202118610543685368878688932828701136501444932217468039063
P90
click to show decimal representation
fully
factored
87M541
4312790327
6115209994009
77146448294831869472151022106713
904106555381898703253733254107256591
hide decimal representation
P73
3913112911835820709255943886069525362580351752909309688547154382752707879
fully
factored
88M547
5471
172720604638150729
157552196128597543991
P124
click to show decimal representation
fully
factored
89M557
3343
21993703
4565508951414453792719
22053236096920219270632521586535711
P101
click to show decimal representation
fully
factored
90M563
2815747080256641401887817
13299213974872825932452460424235657
P111
click to show decimal representation
fully
factored
91M569
15854617
55470673
182602768015690099110572536951
110582329556343704552404016904356632250881
P87
click to show decimal representation
fully
factored
92M571
5711
27409
6969336604531667168509871230100794095801832527002849548226132675916172927
P91
click to show decimal representation
fully
factored
93M577
3463
132305774316967
P157
click to show decimal representation
fully
factored
94M587
554129
2926783
39483330766889
73208283304744901303
3728298863422039632638351
P107
click to show decimal representation
fully
factored
95M593
104369
3061144307110551703729
4027016481761119763553952463965455549881
P113
click to show decimal representation
fully
factored
96M599
16659379034607403556537
148296291984475077955727317447564721950969097
P114
click to show decimal representation
fully
factored
97M601
3607
64863527
643390760896826272806925563059612685509039265031067456849993
P110
click to show decimal representation
fully
factored
14M607Mersenne Prime!
98M613
44599476833089207
332817722770314187794325446534549089
P133
click to show decimal representation
fully
factored
99M617
59233
68954123297
157751978115225385495647532421006478127229405644601
P120
click to show decimal representation
fully
factored
100M619
110183
710820995447
109378681671075297195692480234213908123642560192251038455204252439
P105
click to show decimal representation
fully
factored
101M631
333628015107245479
474640860193534882628078580680807822523991
P131
click to show decimal representation
fully
factored
102M641
35897
49999
1173835097
2401258891949526685926151441
745276300734440606226386924312213175677903182797334854064486587296999
hide decimal representation
P79
2420161564200739329410254310444778820196576654139080232429544162649795567983079
fully
factored
103M643
3189281
22532429052605670225026391054393428833168207234802434915090881303620353
P117
click to show decimal representation
fully
factored
104M647
303303806129303896428103
11502383762931955619183430785983
P141
click to show decimal representation
fully
factored
105M653
78557207
289837969
16008527538753578495897
3044938125828889184039273431
3786707123184812723340717607
P103
click to show decimal representation
fully
factored
106M659
1319
11527429277532648241
626564962613678012662146877852049
P144
click to show decimal representation
fully
factored
107M661
1330270433
3370159489168519
1009157848082361225065617
118420287267066844820208926433723871
P116
click to show decimal representation
fully
factored
108M673
581163767
41283139633378645724930694480520226273492263
68396769572915971687133122358352070840260017483089158059519
P92
click to show decimal representation
fully
factored
109M677
1943118631
531132717139346021081
978146583988637765536217
53625112691923843508117942311516428173021903300344567
P98
click to show decimal representation
fully
factored
110M683
1367
434836499112609694795723958417048861299768144283442662402095922180462812746769
P125
click to show decimal representation
fully
factored
111M691
906642603313
10488160032325844521
2833637724427940664433391497
16636201944470267267182958207
P122
click to show decimal representation
fully
factored
112M701
796337
2983457
28812503
1073825104511
9983923992673
15865578195367
40686928318417
P140
click to show decimal representation
fully
factored
113M709
216868921
1391646221255097953
P187
click to show decimal representation
fully
factored
114M719
1439
772207
737572843389436536903316910033561929012829990389769
P157
click to show decimal representation
fully
factored
115M727
17606291711815434037934881872331611670777491166445300472749449436575622328171096
762265466521858927
P122
click to show decimal representation
fully
factored
116M733
694653525743
14399141148866077141941966959399761
13948432601001273785699253868326270649
P138
click to show decimal representation
fully
factored
117M739
184603056517613273120809
48050683584092004380805463790111
25615033887531704908970522066211376209388565551803432585042382600722821851119946
63
P87
click to show decimal representation
fully
factored
118M743
1487
1219280833
14904366017
118722715461092305629361
4721525455401597740684262559
4977047949106985392753791512048265888682003683833
P102
click to show decimal representation
fully
factored
119M751
227640245125324450927745881868402667694620457976381782672549806487
6493500319937011450007704218333851757321824602859305748523089149897
P94
click to show decimal representation
fully
factored
120M757
9815263
561595591
5722137022002067824248227975095857749151312827809388406962346253182128916964593
P134
click to show decimal representation
fully
factored
121M761
4567
6089
738686421813192728921171408273447
280230266918608239805810556544655376723809198780890337110755962385407
P121
click to show decimal representation
fully
factored
122M769
1591805393
6123566623856435977170641
P198
click to show decimal representation
fully
factored
123M773
6864241
9461521
1165626988664823792549971253972697
101625278121114813541046756104385520302531369
3102804258869848876949115800490112967822146918598407
P91
click to show decimal representation
fully
factored
124M787
9951597611230279
96512008100928793
171124793552074153093621463907993111755630713094272377046079303
P142
click to show decimal representation
fully
factored
125M797
2006858753
54573369937
104757762864135516671
747609928190821086986322983
21023711323746974956423747989180911
2896793131110864597734842177399739433374955784567182457
P85
click to show decimal representation
fully
factored
126M809
4148386731260605647525186547488842396461625774241327567978137
P183
click to show decimal representation
fully
factored
127M811
326023
120561845344829717145833822890964664477289164454661659494292322521
23119812387308695110542195466723573149999671437304578090473901521408187760986228
863
P92
click to show decimal representation
fully
factored
128M821
419273207
109840721427977
286121480219517473
25348330589061322436059499894718930577798031880081867566547223
P146
click to show decimal representation
fully
factored
129M823
1460915248436556406607
1534086200463688788034864584049
14318463776157273132646318179504157563387487409638575094260074593259322339364163
972504114136247
P103
click to show decimal representation
fully
factored
130M827
66161
1637241673
1656489332706171370072190422631
2550707823005230793212015514781257
13394595223843413901037846777300844745495137348727969920754613220161097793251799
P93
click to show decimal representation
fully
factored
131M829
72953
89654239955972104838901500177
P216
click to show decimal representation
fully
factored
132M839
26849
138561000316919
377801626929390823
113910681722635191781067775764311
P185
click to show decimal representation
fully
factored
133M853
2065711807
513740645819473
4727997228805279065233
18449450106982911477871034430148217716695646282266064204205488745738888010789289
P132
click to show decimal representation
fully
factored
134M857
6857
289306374721106633650693738754461144023818395644402718227527
662520472533225766400092611044698417042646671423385275908496091789616072191
P120
click to show decimal representation
fully
factored
135M859
7215601
13183242101527799620391251382520507315529510625017
58609898712737781434024027899110611446341212502589792599097337
P141
click to show decimal representation
fully
factored
136M863
8258911
169382737
175642891399
29285999966706220686672716810451885670419982406665981482420875625236697955390138
58277310234855201
P137
click to show decimal representation
fully
factored
137M877
35081
1436527
1839699736969340949026772071177
4478527345975241075738524755872079528958635991
91383457962725757106767895106859156848543968186689599951801167598113823
P107
click to show decimal representation
fully
factored
138M881
26431
P261
click to show decimal representation
fully
factored
139M883
8831
63577
258777491057348926546569104663
P228
click to show decimal representation
fully
factored
140M887
16173559
139714099995626040378049
2382154297313396649423300881
1958905756610480165414360798708208617177953881053051177851547528988145879
P137
click to show decimal representation
fully
factored
141M907
1170031
3256645177
131895016205024767
P241
click to show decimal representation
fully
factored
142M911
1823
26129303
201955048939840841121786425435009
P232
click to show decimal representation
fully
factored
143M919
33554520197234177
15265107408270541810527548134910813006043291848346758028974403075473530214613255
6930363149457078636855455429731914714272974721
P135
click to show decimal representation
fully
factored
144M929
13007
340388595097
912388729886745263028357724939366731341350831028977
1213545181384297818479668246537957920979209321925502086596377
P153
click to show decimal representation
fully
factored
145M937
28111
2419437071
348131628285692590860028784957527660987485049321208797343
46654722984595033623595915319018639089714063407438899506169
P154
click to show decimal representation
fully
factored
146M941
7529
291983755553764871342375393389946327216860539710043646803168061464937
P211
click to show decimal representation
fully
factored
147M947
295130657
25749931927
4621646208862937
11892980076500863942962129100776937
42473851340526147266826509993319628093194922290192667926440870920964574700349265
985080009020182263507473
P113
click to show decimal representation
fully
factored
148M953
343081
562070136841
40496650491842199555367
824501439026637805612489876810823
210604142476977747806569755290105170291449495120790656457721
P155
click to show decimal representation
fully
factored
149M967
23209
549257
1438495818172960049
73214830052905408299354903681341531907328727
P219
click to show decimal representation
fully
factored
150M971
23917104973173909566916321016011885041962486321502513
P240
click to show decimal representation
fully
factored
151M977
867577
1813313
2069655374719577273
49858990580788843054012690078841
23830405750609887318420248635858165476368020607396633699141951
P171
click to show decimal representation
fully
factored
152M983
1808226257914551209964473260866417929207023
P254
click to show decimal representation
fully
factored
153M991
8218291649
41473350001
231620367206687
67218854690503829202986124218309681787680280931336276407145025371120530190712728
02490029644416444090606146146238871876925423959
P137
click to show decimal representation
fully
factored
154M997
167560816514084819488737767976263150405095191554732902607
P244
click to show decimal representation
fully
factored