is 2 2730797 - 1
has 822052 decimal digits
takes 0.211 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L15478D154BC476C5double-checked
PRP90A8AB25267EFA9CPRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.826967.6471%2700000840000000.79847.6713%22.625470.1289%2.4819%
PrimeNet2590.028162.7119%120002200000.00262.8489%0.030763.7742%1.0623%
GPU722630.584565.0794%140002400000.00291.7067%0.587465.6754%0.5960%
Difference+5+21.2425+2.5677%+2686000+83760000+0.7955+5.9645%+22.0380+4.4536%+1.8859%

Known prime factors (1 factor, 72.4 bits, 0.00265248% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
273079763791188551639552092092272.4341167995800340332
22 × 373 × 782839008271
2021-06-03373782839008271563.404,776.68,921.4

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.241%
2003-11-28T00:00:00Team Prime Ribv4_computers15000225000---0.003--0.797%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.269%
2010-12-28T02:16:00Jocelyn LaroucheManual testing3000030000---0.003--0.372%
2011-01-19T23:50:00Jocelyn LaroucheManual testing5000050000---0.006--0.538%
2011-04-27T02:32:00James HeinrichWHS1850004625000---0.048--3.313%
2016-10-23T19:41:42mikrMSI27000008400000012---0.798--7.671%
2021-02-17T14:39:05mognutsStrand14300044960006---0.043--3.150%
2021-04-29T17:56:06mognutsManual testing14300044960006---0.043--3.150%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:20Mark RoseManual testing21260--0.056--
2009-01-30T06:58:00Sturle Sundegonzo.ifi260261--0.056--
2012-04-12T20:35:00markroldgamer261262--0.112--
2013-01-10T10:18:00dbaughManual testing262263--0.359--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.719--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.368--
2016-02-01T09:40:54ramgeisManual testing265266--2.736--
2017-10-05T11:09:28Gordon SpenceManual testing266267--5.473--
2019-02-13T01:50:28chuenkitManual testing267268--10.95--


ECM factoring results:
Total ECM effort:10.069 GHz-days
Estimated T-Level:21.726
DigitsB1CompleteFacMiss
20110003.7312.397%
25500000.34570.803%
302500000.02297.846%
3510000000.00199.898%


ECM Summary

B1B2factorcurvesGHz-days
500005000000959.86
50000520000020.211


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00ANONYMOUSv4_computers15478D154BC476C50.211
2018-08-08T16:17:06kkmrkkblmbrbkold15478D154BC476C50.211


PRP results:
dateuseridcompidcofactorsres64PRP
2021-06-03T12:12:50ZacHFX5950X
6379118855163955209209
90A8AB25267EFA9Cno


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 185000, B2 = 4625000 (P-1 stage 2)
B1 = 143000, B2 = 4496000 (P-1 stage 2)
B1 = 185000 (P-1 stage 1)
B1 = 143000 (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: 2021-06-03T12:12:50+00:00