is 2 1068311 - 1
has 321594 decimal digits
takes 0.032 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L78A7C40A7A124B06double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271447.508570.4225%1000000200000000.08753.7124%447.596071.5206%1.0980%
PrimeNet2560.009062.5000%4500650000.00032.0151%0.009363.2557%0.7557%
GPU722600.143865.0000%4500190000.00020.6359%0.144065.2226%0.2226%
Difference+11+447.3648+5.4225%+995500+19981000+0.0872+3.0765%+447.4520+6.2980%+0.8755%

Known prime factors (1 factor, 70.8 bits, 0.00662397% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
106831120057608292624678747832270.765938753241922281
3 × 23 × 63179 × 215342431
2016-01-2063179215342431317.710.50680.9417

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-28T00:00:00Jocelyn Larouchev4_computers100100---4.29764e-6--0.000%
2002-03-10T00:00:00Jocelyn Larouchev4_computers10001000---4.29764e-5--0.002%
2002-03-16T00:00:00Jocelyn Larouchev4_computers20002000---8.59528e-5--0.006%
2006-01-15T00:00:00Jocelyn Larouchev4_computers6000060000---0.003--0.316%
2010-09-29T11:21:00Oscar Östlin131071262139---0.006--0.781%
2010-10-15T18:12:00Oscar Östlin400000400000---0.017--1.016%
2012-06-03T04:12:00c10ck3raleman100000020000000---0.087--3.712%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-11-24T00:00:00ANONYMOUSv4_computers21257--0.018--
2003-04-03T00:00:00ANONYMOUSv4_computers21258--0.036--
2016-02-23T16:28:20Mark RoseManual testing258260--0.108--
2009-02-18T05:07:00Sturle Sundebakeng.ifi260261--0.144--
2010-11-13T20:45:00ANONYMOUSManual testing261262--0.288--
2010-11-13T20:46:00Michael CManual testing261262--0.288--
2012-10-11T11:55:00dbaughManual testing262263--0.919--
2013-12-04T11:02:00Never Odd Or EvenManual testing263264--1.838--
2013-12-04T11:02:00Never Odd Or EvenManual testing264265--3.497--
2013-12-04T11:02:00Never Odd Or EvenManual testing265266--6.995--
2013-12-04T11:02:00Never Odd Or EvenManual testing266267--13.99--
2013-12-04T11:02:00Never Odd Or EvenManual testing267268--27.98--
2013-12-04T11:02:00Never Odd Or EvenManual testing268269--55.96--
2013-12-04T11:02:00Never Odd Or EvenManual testing269270--111.9--
2014-04-01T16:47:00Never Odd Or EvenManual testing270271--223.8--


ECM factoring results:
Total ECM effort:17.531 GHz-days
Estimated T-Level:25.656
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002809.82
25000025000000447.713


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-02-24T00:00:00ANONYMOUSv4_computers78A7C40A7A124B060.032


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T22:13:54Oliver KruseGTX-0
2005760829262467874783
7EEEA869FD937B__no
2017-10-16T04:52:35Oliver KruseThreadripper
2005760829262467874783
7EEEA869FD937B__no
2017-12-31T22:46:49ATHec2-1xf
2005760829262467874783
7EEEA869FD937B__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 400000 (P-1 stage 1)
B1 = 131071, B2 = 262139 (P-1 stage 2)
B1 = 131071 (P-1 stage 1)
B1 = 60000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
B1 = 100 (P-1 stage 1)
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109
TF factor-bounds graph:
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2100
Last modified: 2020-04-13T10:21:38+00:00