is 2 2627291 - 1
has 790894 decimal digits
takes 0.203 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1661F6374C07463Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.309767.1642%2000000600000000.57797.6862%11.887669.6880%2.5238%
PrimeNet2590.029262.7119%110002000000.00242.7001%0.031663.7187%1.0068%
GPU722630.607565.0794%130002000000.00261.5721%0.610165.6284%0.5490%
Difference+4+10.7022+2.0848%+1987000+59800000+0.5753+6.1141%+11.2775+4.0596%+4.0596%

Known prime factors (1 factor, 67.4 bits, 0.00256361% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26272911885609154227778279212167.35435885045741560
23 × 5 × 1933 × 464110783
2015-12-13193346411078312.2952.83205.2891

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.295%
2003-11-08T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.915%
2010-12-21T22:27:00Jocelyn LaroucheManual testing2000020000---0.002--0.318%
2010-12-26T02:29:00Jocelyn LaroucheManual testing3000030000---0.003--0.435%
2011-01-19T23:50:00Jocelyn LaroucheManual testing5000050000---0.006--0.623%
2011-02-27T16:00:00James Heinrichi7-9203000008000000---0.081--4.404%
2019-07-04T12:42:51alpertronManual testing20000006000000012---0.578--7.686%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00Ethan O'Connorv4_computers21259--0.029--
2022-03-11T04:28:50LordJuliusManual testing21260--0.058--
2009-02-13T04:37:00Sturle Sundeghibu.ifi260261--0.058--
2012-06-12T03:57:00markroldgamer261262--0.117--
2013-01-14T11:57:00dbaughManual testing262263--0.374--
2015-02-23T17:25:00VictordeHollanderManual testing263264--0.747--
2015-02-23T17:25:00VictordeHollanderManual testing264265--1.422--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.444 GHz-days
Estimated T-Level:0.700
DigitsB1CurvesCompleteFacMiss
201100014 / 1000.14086.875%
255000014 / 2800.05095.114%

New Calculation Method

Total ECM effort:1.444 GHz-days
Estimated T-Level:0.700
DigitsB1CompleteFacMiss
20110000.45263.660%
25500000.04196.001%
302500000.00399.749%


ECM Summary

B1B2factorcurvesGHz-days
500005000000121.238
50000500000020.206


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00Ethan O'Connorv4_computers1661F6374C07463F0.203


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:30:57alpertronManual testing
188560915422777827921
8639D5CF03310D__no
2017-11-13T22:02:42Oliver KruseGTX-1
188560915422777827921
8639D5CF03310D__no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 60000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
TF factor-bounds graph:
267
265
264
263
262
261
260
259
250
260
270
280
290
2100
Last modified: 2022-03-11T04:28:50+00:00