is 2 2554339 - 1
has 768933 decimal digits
takes 0.177 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L6E6765B37FB36646double-checked
PRP694460F449DD8B40verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.334867.6471%32000001120000000.91808.0742%24.252870.2593%2.6122%
PrimeNet2590.030162.7119%110002000000.00212.6861%0.032263.7135%1.0016%
GPU722630.624865.0794%120001800000.00211.4785%0.627065.5957%0.5163%
Difference+5+22.7099+2.5677%+3188000+111820000+0.9159+6.5957%+23.6258+4.6636%+4.6636%

Known prime factors (1 factor, 79.2 bits, 0.00310196% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25543397112060833706524415179272479.235139215288841976817
32 × 6958261 × 2223021733		2021-01-146958261222302173361,59512.84322.751

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.236%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.756%
2010-12-19T21:44:00Jocelyn LaroucheManual testing2000020000---0.002--0.265%
2011-01-03T14:35:00Jocelyn LaroucheManual testing3000030000---0.003--0.367%
2011-01-09T14:30:00Jocelyn LaroucheManual testing5000050000---0.005--0.531%
2011-04-09T17:05:00James HeinrichWHS1750004068750---0.039--3.163%
2016-03-30T03:39:22mikrMSI320000011200000012---0.918--8.074%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-30T16:45:00Sturle Sundegorky.ifi260261--0.060--
2012-06-16T17:43:00Sebastian HornbostelManual testing261262--0.120--
2013-01-14T11:53:00dbaughManual testing262263--0.384--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.769--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.463--
2015-11-04T20:25:08omylistManual testing265266--2.926--
2017-08-10T07:53:54Gordon SpenceManual testing266267--5.851--
2019-06-03T11:26:13TJAOIManual testing267268--11.70--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.208 GHz-days
Estimated T-Level:4.450
DigitsB1CurvesCompleteFacMiss
201100089 / 1000.89040.882%
255000089 / 2800.31872.729%

New Calculation Method

Total ECM effort:8.208 GHz-days
Estimated T-Level:4.450
DigitsB1CompleteFacMiss
20110003.4233.261%
25500000.31772.853%
302500000.02098.022%


ECM Summary

B1B2factorcurvesGHz-days
500005000000888.116
50000500000010.092


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computers6E6765B37FB366460.177
2018-06-12T12:40:56kkmrkkblmbrbkold6E6765B37FB366460.177


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-14T14:57:37mrhw
711206083370652441517927
694460F449DD8B40no


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4068750 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (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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1010
TF factor-bounds graph:
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Last modified: 2021-01-14T14:57:37+00:00