is 2 2238631 - 1
has 673896 decimal digits
takes 0.147 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L138FE50B36FFA7F6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.273367.1642 %2000000650000000.51797.6594 %13.791269.6792 %
Target2620.274464.5161 %110009500000.00591.6583 %0.280465.1046 %
Difference+5+12.9988+2.6481 %+1989000+64050000+0.5120+6.0011%+13.5108+4.5747 %

Known prime factors (3 factors, 217.7 bits, 0.00972263% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22386312453210142806821936812167.73354792642083640
23 × 3 × 5 × 19 × 29 × 828684847
2023-03-162982868484713.2734.30448.0394
22386314685566231719921785212168.667104652491449460
22 × 5 × 5232624572473
2023-10-055523262457247326.62627,18050,764
223863128828151882973463740290632581.254643879046680168901
72 × 1021 × 715969 × 17975801
2016-01-1071596917975801218,7650.15790.1744

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-27ANONYMOUSv4_computers204820480012--0.0010.783%
2010-11-08Oscar Östlin7501175011--0.0071.596%
2011-01-14Oscar Östlin8500016362506--0.0164.428%
2014-06-01JossManual testing113671113671--0.0111.964%
2014-09-30JossManual testing142342142342--0.0142.180%
2015-12-02Alexander DubrovinManual testing100000060000006--0.1217.325%
2016-01-10Alexander DubrovinManual testing2000000650000001222581.2540.51811.423%
2016-04-22alpertronManual testing5000001500000012---8.287%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-02-07ANONYMOUSv4_computers212580.017
2016-02-23Mark RoseManual testing2582600.051
2009-01-11Sturle Sundegoscha.ifi2602610.069
2012-04-27Sebastian HornbostelManual testing2612620.137
2013-12-04LaurVManual testing2622630.439
2015-03-10VictordeHollanderManual testing2632640.877
2015-03-10VictordeHollanderManual testing2642651.669
2015-10-25ramgeisManual testing2652663.338
2023-03-16TJAOIManual testing267268*
67.733
21
9.79


ECM factoring results:
Total ECM effort:4.623 GHz-days
Estimated T-Level:20.773
DigitsB1CompleteFacMiss
20110001.65119.180%
25500000.15585.678%
302500000.01099.022%


ECM Summary

B1B2factorcurvesGHz-days
500005000000231.834
500007050000101.003
500002702353571.786


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13ANONYMOUSv4_computers138FE50B36FFA7F60.147


PRP results:
dateuseridcompidcofactorsres64
2017-09-30alpertronManual testing
2882815188297346374029063
F9E63FE6078CFEE5
2017-10-28Oliver KruseGTX-2
2882815188297346374029063
F9E63FE6078CFEE5
2023-03-23prime23work
2882815188297346374029063
245321014280682193681
E7E335AF3FDB53AB
2023-10-06Naegi Makoto12500H
245321014280682193681
468556623171992178521
2882815188297346374029063
E7E335AF3FDB53AB


CERT results:
dateuseridcompid
2023-03-23Randall W. AndersonRandy_MSI
2023-10-06Jason Lynchbetelgeuse


P-1 factor-bounds graph:
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000, B2 = 6000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 85000, B2 = 1636250 (P-1 stage 2)
B1 = 142342 (P-1 stage 1)
B1 = 113671 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
266
265
264
263
262
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=20.77 ~= 52-bit
250
260
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290
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Last modified: 2024-02-29T14:28:04+00:00