is 2 10490521 - 1
has 3157962 decimal digits
takes 3.427 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L21ACAF8580D430C1double-checked
PRPB5231A01041C264FPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27291.161766.6667%10000000401161622401,039.743014.4943%1,130.904771.4981%4.8314%
PrimeNet2640.339362.5000%4500013000000.05373.7717%0.393063.9144%1.4144%
GPU722685.681864.7059%7000017000000.07522.7045%5.757065.6604%0.9545%
Difference+4+85.4799+1.9608%+9930000+40114462240+1,039.6678+11.7898%+1,125.1477+5.8377%+3.8769%

Known prime factors (1 factor, 123.1 bits, 0.00117362% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
104905211155044882565410602686498523992482566338123.119550518359653162413328422165111
32 × 7 × 23 × 229 × 73421 × 147551 × 419743 × 364856447
2022-01-174197433648564471.644e+109.60417.586

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-06-26T00:00:00ANONYMOUSv4_computers145000145000---0.069--0.759%
2000-06-29T00:00:00ANONYMOUSv4_computers145000145000---0.069--0.759%
2000-12-14T00:00:00ANONYMOUSv4_computers145000145000---0.069--0.759%
2012-12-11T23:49:00NesowaOutback1450002875000---0.139--2.202%
2022-01-17T03:32:53LuminescenceMain100000004011616224038123.1191,0406.8542,07914.494%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-09-22T00:00:00ANONYMOUSv4_computers21264--0.339--
2013-12-19T23:27:00lycornManual testing264265--0.356--
2015-05-05T14:30:00ThaManual testing265266--0.712--
2015-12-11T23:19:13VictordeHollanderManual testing266267--1.425--
2017-09-25T21:59:12-Anonymous-Manual testing267268--2.849--
2017-11-16T16:11:16ramgeisManual testing268269--5.699--
2020-08-14T08:51:48ViliamFManual testing269270--11.40--
2021-08-11T16:39:49SRBaseManual testing270271--22.79--
2021-11-02T06:45:49SRBaseManual testing271272--45.59--


ECM factoring results:
Total ECM effort:0.993 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.993


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-06-23T00:00:00ANONYMOUSv4_computers21ACAF8580D430C13.427
2003-12-23T00:00:00ANONYMOUSv4_computers21ACAF8580D430C13.427


PRP results:
dateuseridcompidcofactorsres64PRP
2022-01-26T02:33:13Poaooffice-CN2
11550448825654106026864985239924825663
B5231A01041C264Fno


P-1 factor-bounds graph:
B1 = 10000000, B2 = 40116162240 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 145000, B2 = 2875000 (P-1 stage 2)
B1 = 145000 (P-1 stage 1)
104
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106
107
104
105
106
107
108
109
1010
1011
TF factor-bounds graph:
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271
270
269
268
267
266
265
264
250
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270
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2100
2110
2120
2130
Last modified: 2022-01-26T02:33:13+00:00