is 2 2715523 - 1
has 817454 decimal digits
takes 0.210 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7E1ED4EA273134C3double-checked
PRPB5927AF314DAF322verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.949767.6471%2700000840000000.79847.6669%22.748170.1275%2.4805%
PrimeNet2590.028362.7119%120002200000.00262.8460%0.030963.7731%1.0612%
GPU722630.587765.0794%140002200000.00281.6631%0.590665.6601%0.5808%
Difference+5+21.3619+2.5677%+2686000+83780000+0.7956+6.0038%+22.1576+4.4674%+4.4674%

Known prime factors (1 factor, 74.9 bits, 0.00275661% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2715523341973170872011054385272374.8566296635507635381
3 × 312 × 2184056714407
2021-02-1696121840567144072,531.513,32624,890

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-08T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.241%
2003-11-28T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.788%
2010-12-19T21:41:00Jocelyn LaroucheManual testing2000020000---0.002--0.269%
2010-12-28T02:15:00Jocelyn LaroucheManual testing3000030000---0.003--0.372%
2011-01-18T00:06:00Jocelyn LaroucheManual testing5000050000---0.006--0.538%
2011-04-22T23:46:00James HeinrichWHS1850004578750---0.048--3.303%
2016-09-23T21:13:28mikrMSI27000008400000012---0.798--7.667%
2021-02-15T17:37:40mognutsStrand14500045700006---0.043--3.166%
2021-04-29T17:55:36mognutsManual testing14500045700006---0.043--3.166%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:19Mark RoseManual testing21260--0.057--
2009-01-29T03:19:00Sturle Sundegraun.ifi260261--0.057--
2012-04-25T13:44:00markroldgamer261262--0.113--
2013-01-10T10:18:00dbaughManual testing262263--0.361--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.723--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.376--
2016-01-30T15:58:42ramgeisManual testing265266--2.752--
2017-09-29T00:40:45Gordon SpenceManual testing266267--5.504--
2019-02-11T01:15:32chuenkitManual testing267268--11.01--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.294 GHz-days
Estimated T-Level:4.000
DigitsB1CurvesCompleteFacMiss
201100080 / 1000.80044.752%
255000080 / 2800.28675.109%

New Calculation Method

Total ECM effort:8.294 GHz-days
Estimated T-Level:4.000
DigitsB1CompleteFacMiss
20110002.5817.573%
25500000.23379.197%
302500000.01498.574%


ECM Summary

B1B2factorcurvesGHz-days
500005000000777.983
50000500000030.311


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00jhalpinv4_computers7E1ED4EA273134C30.210
2018-08-04T14:58:32kkmrkkblmbrbkold7E1ED4EA273134C30.210


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-16T14:44:02mrhw
34197317087201105438527
B5927AF314DAF322no


P-1 factor-bounds graph:
B1 = 2700000, B2 = 84000000 (P-1 stage 2)
B1 = 2700000 (P-1 stage 1)
B1 = 185000, B2 = 4578750 (P-1 stage 2)
B1 = 145000, B2 = 4570000 (P-1 stage 2)
B1 = 185000 (P-1 stage 1)
B1 = 145000 (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)
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TF factor-bounds graph:
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Last modified: 2021-04-29T17:55:36+00:00