is 2 61637 - 1
has 18555 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual267482.079276.1194%1000000000891895209905708,358.932028.5862%8,841.011382.9460%6.8266%
PrimeNet2400.000060.0000%650100000.00005.3438%0.000062.1375%2.1375%
GPU722440.000063.6364%500100000.00002.1656%0.000064.4239%0.7875%
Difference+23+482.0792+12.4830%+999999500+89189520980570+8,358.9320+26.4206%+8,841.0112+18.5221%+6.0391%

Known prime factors (5 factors, 302.7 bits, 0.49102096% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
616372958577721.49624
23 × 3
-884.556e-121.376e-82.800e-8
616374807687722.19739
3 × 13
2008-08-263139.142e-126.097e-91.050e-8
6163720093663824.260163
163
2008-08-2611633.754e-111.690e-82.828e-8
61637329216097616773997776872428385589734111.34326706044877003585328363842204
22 × 32 × 1571 × 2962073 × 4432247 × 35967576539
2016-12-104432247359675765392.697e+123.37756.2947
616371359397487640556219651707067938325756938123.354110274468877505087824821703517232
24 × 32 × 7 × 21841 × 587179 × 115101059 × 74112606829
2022-11-17115101059741126068292.802e+127.131712.970

26 Composite Factors:
exponentprime factorscomposite factordigitsbits*
61637142239121813991443.693
61637594486491975511445.757
61637966040423874811446.457
616372858104979146263745372167.954
61637974011174438742364020705898555752817856940132.839
616371582767952702895331049898474607830588023941133.540
616376615157319686559858491223769971673488071141135.603
616374021882140791133898668488541939768002871931344144.851
616376535557629162162809988656598335205543213290344145.551
6163727315274999696001810235379197870822543368524745147.615
616374682740861203873959851615479309811597623985990347155.036
6163719571452297406303206455389347691483833316930824748157.099
6163731803605848811917906390096132983804996844082545748157.800
6163719335950483813704159887809672732777410423346775903
1
51167.048
6163780814344362775597947720757481099064547891619701351
9
51169.111
6163713132329251746347185504509950967398122105979240936
89
52169.811
6163794093416781360417643733891446834826836147975205809
4689
54179.296
6163738853007280643952617048376537203271833905941744713
34120553
58191.308
6163744753553599107068056271208655635132963805931065390
724713205940030534393
71234.697
6163713240683434658539208871870369076302477865806011365
0494149822690437718352838761
78256.193
6163721516107784223026270225035832798450549336124530597
5137124258926207579804278991
78256.894
6163789926282407289452644077870332901541273490757622919
2185712931808571767802851559
78258.957
6163763657061619923208393483575839093341430903223305361
6003267678601122442834604324355807
84278.390
6163726605383082571120693535797337590484327630046521574
34729230008651408835070857156871543
85280.454
6163743233741888785420671404880418717641226052496004385
96291753647987956976632788003134033
85281.154
6163712791035437609710353374303689456838282565071547116
820901067632603265788055304031948277951041
92302.651
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-15T20:58:20kkmrkkblmbrbkManual testing100000000200000000012-
skipped known factor: 2958577
skipped known factor: 4807687
skipped known factor: 20093663
--0.350--11.310%
2016-12-10T09:05:30kkmrkkblmbrbkManual testing100000000304201476175834111.343285.20.000570.421.629%
2022-11-04T13:24:12George WoltmanSkylakeX10000000001000000000-
skipped known factor: 2958577
skipped known factor: 4807687
skipped known factor: 20093663
--1.720--10.341%
2022-11-17T20:39:39George WoltmanSkylakeX10000000008918952099057038123.3548,3590.00016,71828.586%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-04-26T07:06:09ATHcolab-Pp210000000100000000027--0.117


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26T20:08:00ANONYMOUSManual testing??24.26081.27935e-120.0002.67334e-12
2008-08-26T20:08:00ANONYMOUSManual testing??22.19777.65252e-140.0001.59909e-13


ECM factoring results:
Total ECM effort:11.540 GHz-days
Estimated T-Level:31.382
DigitsB1CompleteFacMiss
2011000114.9910.000%
255000019.4260.000%
302500002.5497.816%
3510000000.27675.855%
4030000000.02597.493%
45110000000.00299.800%


ECM Summary

B1B2factorcurvesGHz-days
110001100000300.008
5000050000002740.339
250000250000005853.619
10000001000000003067.573


Lucas-Lehmer results:
No L-L results for M61637


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21T20:10:21Oliver KrusePRP
2958577
4807687
20093663
3292160976167739977768724283855897
15A5ABB728E4A8EBno
2017-09-21T21:29:41Oliver KruseManual testing
2958577
4807687
20093663
3292160976167739977768724283855897
15A5ABB728E4A8EBno
2017-10-02T16:47:34kkmrkkblmbrbkManual testing
2958577
4807687
20093663
3292160976167739977768724283855897
15A5ABB728E4A8__no
2017-12-07T03:26:57ATHxps
2958577
4807687
20093663
3292160976167739977768724283855897
15A5ABB728E4A8__no
2020-04-17T13:48:40Oliver KruseAddPrpType5
2958577
4807687
20093663
3292160976167739977768724283855897
BCCF8D4B4EE007__no
2022-11-17T22:42:47George WoltmanManual testing
2958577
4807687
20093663
3292160976167739977768724283855897
13593974876405562196517070679383257569
BCCF8D4B4EE0078Bno


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 89189520990570 (P-1 stage 2)
B1 = 100000000, B2 = 3042014761758 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-11-17T22:42:47+00:00