is 2 2759227 - 1
has 830611 decimal digits
takes 0.213 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L82FB57CFD3982999double-checked
PRP262D369D7013EB97verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26943.268268.1159%2700000840000000.79847.0689%44.066670.3698%2.2539%
PrimeNet2590.027862.7119%120002200000.00262.8542%0.030463.7761%1.0643%
GPU722630.578465.0794%150002400000.00311.7450%0.581565.6887%0.6094%
Difference+6+42.6898+3.0366%+2685000+83760000+0.7954+5.3240%+43.4852+4.6811%+4.6811%

Known prime factors (1 factor, 83.7 bits, 0.00303427% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2759227159582484367618530702364712683.7232891796948341302305
3 × 5 × 241 × 69661 × 11483381387
2021-09-036966111483381387910,49770.075130.87

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.195%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.682%
2010-12-21T11:04:00Jocelyn LaroucheManual testing2000020000---0.002--0.226%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.316%
2011-01-23T12:18:00Jocelyn LaroucheManual testing5000050000---0.006--0.462%
2011-05-09T16:55:00James HeinrichWHS1900004655000---0.049--2.990%
2017-01-06T20:25:41mikrMSI27000008400000012---0.798--7.069%
2017-01-10T10:25:15Jocelyn Larouchelow 4M228000228000---0.026--1.152%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:21Mark RoseManual testing21260--0.056--
2009-01-31T15:31:00Sturle Sundegoose.ifi260261--0.056--
2012-03-21T00:27:00markroldgamer261262--0.111--
2013-01-10T10:19:00dbaughManual testing262263--0.356--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.712--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.354--
2016-02-05T15:48:26ramgeisManual testing265266--2.708--
2017-10-09T09:26:13Gordon SpenceManual testing266267--5.417--
2019-02-21T01:08:07chuenkitManual testing267268--10.83--
2021-06-14T11:22:58TJAOIManual testing268269--21.67--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.537 GHz-days
Estimated T-Level:21.982
DigitsB1CurvesCompleteFacMiss
2011000111 / 1001.11032.772%
2550000111 / 2800.39667.224%

New Calculation Method

Total ECM effort:11.537 GHz-days
Estimated T-Level:21.982
DigitsB1CompleteFacMiss
20110003.5812.786%
25500000.32472.353%
302500000.02098.027%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010611.02
50000500000050.520


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00Smegheadsv4_computers82FB57CFD39829990.213
2018-08-16T17:49:17kkmrkkblmbrbkold82FB57CFD39829990.213


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-05T09:37:57SRJ2877LTOS
15958248436761853070236471
262D369D7013EB97no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 190000, B2 = 4655000 (P-1 stage 2)
B1 = 228000 (P-1 stage 1)
B1 = 190000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 225000 (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)
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TF factor-bounds graph:
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Last modified: 2021-09-05T09:37:57+00:00