is 2 2727793 - 1
has 821148 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-L5E1CBC597907D8B0double-checked
PRP2ADB2E97094EBAC9PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.851067.6471%2700000840000000.79847.6704%22.649470.1287%2.4816%
PrimeNet2590.028262.7119%120002200000.00262.8483%0.030863.7739%1.0621%
GPU722630.585165.0794%140002400000.00291.7064%0.588065.6752%0.5959%
Difference+5+21.2659+2.5677%+2686000+83760000+0.7955+5.9640%+22.0614+4.4534%+1.8857%

Known prime factors (1 factor, 70.2 bits, 0.00257247% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
272779313296512526807032724492270.172243722902119168
28 × 3 × 229 × 1385797069
2021-07-232561385797069137.468.455715.793

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%
2011-04-25T11:29:00James HeinrichWHS1850004578750---0.048--3.305%
2016-10-15T16:01:23mikrMSI27000008400000012---0.798--7.670%
2021-02-16T12:15:59mognutsStrand14200044900006---0.042--3.144%
2021-04-29T17:55:58mognutsManual testing14200044900006---0.042--3.144%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:20Mark RoseManual testing21260--0.056--
2009-01-30T23:23:00Sturle Sundegoscha.ifi260261--0.056--
2012-04-22T01:20:00Grant McCrackenhome261262--0.113--
2013-01-14T12:26:00dbaughManual testing262263--0.360--
2015-04-13T20:09:00VictordeHollanderManual testing263264--0.720--
2015-04-13T20:09:00VictordeHollanderManual testing264265--1.370--
2016-02-01T09:40:54ramgeisManual testing265266--2.739--
2017-10-05T11:09:28Gordon SpenceManual testing266267--5.479--
2019-02-13T01:50:27chuenkitManual testing267268--10.96--


ECM factoring results:
Total ECM effort:11.809 GHz-days
Estimated T-Level:21.952
DigitsB1CompleteFacMiss
20110004.2381.444%
25500000.39067.677%
302500000.02597.569%
3510000000.00199.885%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.417
500005000000959.86
50000645000060.700
50000675000070.835


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-09T00:00:00ANONYMOUSv4_computers5E1CBC597907D8B00.211
2018-08-08T00:58:55kkmrkkblmbrbkold5E1CBC597907D8B00.211


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-25T14:28:36kutenscanopus
1329651252680703272449
2ADB2E97094EBAC9no


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 = 142000, B2 = 4490000 (P-1 stage 2)
B1 = 185000 (P-1 stage 1)
B1 = 142000 (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: 2021-07-25T14:28:36+00:00