is 2 31977571 - 1
has 9626209 decimal digits
takes 35.198 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L6386BF6A538FE68Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual274119.642266.2162%1000000300000004.11774.5257%123.759967.7452%1.5289%
PrimeNet2670.929262.6866%14000055000000.68955.0940%1.618764.5873%1.9007%
GPU7227114.950464.7887%22000070000000.94073.7597%15.891166.1126%1.3238%
Difference+3+104.6917+1.4275%+780000+23000000+3.1770+0.7659%+107.8688+1.6326%+1.6326%

Known prime factors (1 factor, 125.2 bits, 0.00039163% known):
Remaining cofactor is PRP status unknown

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
319775714997573968729950273611223383092236061738125.233781418633818364483282864633948
22 × 19 × 23 × 41 × 83 × 1607 × 9463 × 20129 × 67139 × 6392027
2021-08-206713963920274.044e+90.65711.0381

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-10-01T00:00:00ANONYMOUSv4_computers515000515000---0.822--1.365%
2021-08-20T04:07:15Sid & AndySpeck10000003000000038125.2334.11870.408.2354.526%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-01-14T00:00:00Jocelyn Larouchev4_computers?252--1.87619e-5--
2001-09-01T00:00:00Net_Forcev4_computers?256--0.000--
2003-09-09T00:00:00ANONYMOUSv4_computers?259--0.001--
2003-12-13T00:00:00ANONYMOUSv4_computers?261--0.005--
2004-04-29T00:00:00ANONYMOUSv4_computers?262--0.010--
2005-11-13T00:00:00TheJudgerv4_computers?267--0.467--
2011-05-27T19:52:00UngelovendeManual testing267268--0.935--
2012-05-17T00:08:00XyzzyManual testing268269--1.869--
2013-04-18T09:40:00Bill StaffenManual testing269270--3.739--
2018-11-09T11:55:36ramgeisManual testing270271--7.478--
2019-12-06T23:45:54-Anonymous-Manual testing271272--14.96--
2019-12-06T23:45:54-Anonymous-Manual testing272273--29.91--
2020-03-27T11:49:34-Anonymous-Manual testing273274--59.82--


ECM factoring results:
Exponent "31977571" not found


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2006-11-28T00:00:00ANONYMOUSv4_computers6386BF6A538FE68A35.20
2014-08-29T21:56:00linamentMicron7336386BF6A538FE68A35.20


PRP results:
Exponent "31977571" not found


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 515000 (P-1 stage 1)
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108
TF factor-bounds graph:
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2100
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Last modified: 2021-08-20T04:07:15+00:00