is 2 2750773 - 1
has 828066 decimal digits
takes 0.212 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L966F345CEDF33519double-checked
PRP7C8EA6D340A8103Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26943.401268.1159%2700000840000000.79847.0667%44.199670.3691%2.2532%
PrimeNet2590.027962.7119%120002200000.00262.8526%0.030563.7756%1.0637%
GPU722630.580265.0794%140002400000.00291.7091%0.583265.6762%0.5968%
Difference+6+42.8210+3.0366%+2686000+83760000+0.7955+5.3576%+43.6165+4.6929%+4.6929%

Known prime factors (1 factor, 82.7 bits, 0.00300499% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
275077376431837007489455400357992582.6601389279250005170463
32 × 6087427 × 25357899341		2021-11-25608742725357899341541,272155.37288.98

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--0.681%
2010-12-21T01:09:00Jocelyn LaroucheManual testing2000020000---0.002--0.226%
2011-01-02T14:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.316%
2011-01-22T13:10:00Jocelyn LaroucheManual testing5000050000---0.006--0.461%
2011-05-04T22:11:00James HeinrichWHS1900004655000---0.049--2.989%
2016-12-06T15:14:51mikrMSI27000008400000012---0.798--7.067%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:20Mark RoseManual testing21260--0.056--
2009-01-28T15:13:00Sturle Sundeginara.ifi260261--0.056--
2012-04-01T05:54:00Grant McCrackenthumper261262--0.112--
2013-01-14T12:31:00dbaughManual testing262263--0.357--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.714--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.358--
2016-02-04T08:53:28ramgeisManual testing265266--2.717--
2017-10-09T09:26:12Gordon SpenceManual testing266267--5.433--
2019-02-19T02:39:58chuenkitManual testing267268--10.87--
2021-06-28T11:11:34TJAOIManual testing268269--21.73--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.543 GHz-days
Estimated T-Level:22.054
DigitsB1CurvesCompleteFacMiss
2011000115 / 1001.15031.481%
2550000115 / 2800.41166.269%

New Calculation Method

Total ECM effort:12.543 GHz-days
Estimated T-Level:22.054
DigitsB1CompleteFacMiss
20110003.7592.331%
25500000.33871.301%
302500000.02197.943%


ECM Summary

B1B2factorcurvesGHz-days
5000050000100.596
50000500000011311.74
50000500000020.208


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23T00:00:00ANONYMOUSv4_computers966F345CEDF335190.212
2018-08-14T06:49:03kkmrkkblmbrbkold966F345CEDF335190.212


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-03T20:47:35LordJuliussurface7
7643183700748945540035799
7C8EA6D340A8103Fno


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 = 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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267
266
265
264
263
262
261
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2100
Last modified: 2021-12-03T20:47:35+00:00