is 2 2257961 - 1
has 679714 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4BCD43CF3963946Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26826.397767.6471%1000000200000000.19405.3771%26.591769.3867%1.7397%
PrimeNet2580.017062.0690%100001900000.00192.9181%0.018963.1758%1.1069%
GPU722620.272164.5161%120001900000.00211.7060%0.274265.1215%0.6053%
Difference+6+26.1256+3.1309%+988000+19810000+0.1920+3.6712%+26.3175+4.2653%+4.2653%

Known prime factors (1 factor, 78.0 bits, 0.00345588% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
22579613091077462003974405243532478.03268448424530006816
25 × 3 × 713004422187571
2020-03-233271300442218757134,7173,703,5236,917,150

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.200%
2010-11-12T11:43:00Jocelyn LaroucheManual testing3000030000---0.003--0.357%
2011-01-05T13:06:00markrtiny1000002075000---0.020--2.405%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128426128426---0.012--0.933%
2016-03-26T08:01:32Jocelyn LaroucheManual testing34214434214406---0.049--3.290%
2019-06-29T00:56:56BigBrotherWinston10000002000000012---0.194--5.377%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:10Mark RoseManual testing258260--0.051--
2009-01-11T15:24:00Sturle Sundegluck.ifi260261--0.068--
2012-05-04T19:48:00Sebastian HornbostelManual testing261262--0.136--
2013-01-23T08:24:00dbaughManual testing262263--0.435--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.870--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.655--
2015-10-29T11:36:23ramgeisManual testing265266--3.310--
2017-01-16T00:47:35Gordon SpenceManual testing266267--6.619--
2019-05-13T13:38:16TJAOIManual testing267268--13.24--


ECM factoring results:

Old Calculation Method

Total ECM effort:4.467 GHz-days
Estimated T-Level:2.600
DigitsB1CurvesCompleteFacMiss
201100052 / 1000.52059.297%
255000052 / 2800.18683.023%

New Calculation Method

Total ECM effort:4.467 GHz-days
Estimated T-Level:2.600
DigitsB1CompleteFacMiss
20110001.67718.686%
25500000.15285.933%
302500000.00999.071%


ECM Summary

B1B2factorcurvesGHz-days
500005000000514.381
50000500000010.086


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers4BCD43CF3963946E0.148
2018-04-24T02:12:56kkmrkkblmbrbkold4BCD43CF3963946E0.148


PRP results:
dateuseridcompidcofactorsres64PRP
2020-03-24T13:07:57Jinyuan WangManual testing
309107746200397440524353
60E7A6CE364A8895no
2020-03-26T04:20:22Alvin BunkBADCAT
309107746200397440524353
60E7A6CE364A8895no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 342144, B2 = 3421440 (P-1 stage 2)
B1 = 342144 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 128426 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-03-26T04:20:22+00:00