is 2 2855233 - 1
has 859511 decimal digits
takes 0.221 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L347BB501E5BC6301double-checked
PRPF6CF9AADA63B604APRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26941.813368.1159%1000000019223759100118.355614.9147%160.168972.8714%4.7554%
PrimeNet2590.026962.7119%130002400000.00282.9938%0.029763.8282%1.1163%
GPU722630.559065.0794%160002800000.00341.8677%0.562465.7316%0.6522%
Difference+6+41.2543+3.0366%+9984000+19223479100+118.3522+13.0470%+159.6066+7.1398%+4.1032%

Known prime factors (1 factor, 122.9 bits, 0.00430512% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
28552331006834924593352983445361664752909575938122.9211763139688763321563328389775463
32 × 59 × 443 × 47087 × 137393 × 8086541 × 143271581
2022-06-2280865411432715815.724e+101.73051.8431

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.197%
2009-07-03T00:41:00Carsten Kossendeyleela15000157500---0.003--0.611%
2010-12-23T00:29:00Jocelyn LaroucheManual testing2000020000---0.002--0.228%
2011-01-26T00:24:00Jocelyn LaroucheManual testing5000050000---0.006--0.465%
2011-02-21T20:39:00Carsten Kossendeymother1950004875000---0.050--3.048%
2017-06-28T04:14:51Jocelyn Larouchelow 4M39000039000006---0.065--3.203%
2019-10-28T04:18:11masserManual testing28600002860000012---0.477--5.882%
2022-06-22T11:11:49mikrMSI100000001922375910038122.921118.40.441236.714.915%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:23Mark RoseManual testing21260--0.054--
2009-02-13T06:19:00Sturle Sundegiovanni.ifi260261--0.054--
2012-02-05T04:54:00Grant McCrackenthumper261262--0.108--
2013-01-07T13:46:00dbaughManual testing262263--0.344--
2015-04-21T09:20:00VictordeHollanderManual testing263264--0.688--
2015-04-21T09:20:00VictordeHollanderManual testing264265--1.309--
2016-02-16T09:37:56ramgeisManual testing265266--2.617--
2017-11-12T17:07:14Gordon SpenceManual testing266267--5.234--
2019-01-07T01:09:19chuenkitManual testing267268--10.47--
2021-06-28T11:11:07TJAOIManual testing268269--20.94--


ECM factoring results:
Total ECM effort:12.444 GHz-days
Estimated T-Level:22.110
DigitsB1CompleteFacMiss
20110004.5611.045%
25500000.42265.577%
302500000.02797.372%
3510000000.00199.876%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011111.60
50000675000070.843


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02T00:00:00ANONYMOUSv4_computers347BB501E5BC63010.221
2018-09-18T05:37:29kkmrkkblmbrbkold347BB501E5BC63010.221


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-28T08:38:56Funky Waddlemain
10068349245933529834453616647529095759
F6CF9AADA63B604Ano


P-1 factor-bounds graph:
B1 = 10000000, B2 = 19223759100 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2860000, B2 = 28600000 (P-1 stage 2)
B1 = 2860000 (P-1 stage 1)
B1 = 390000, B2 = 3900000 (P-1 stage 2)
B1 = 195000, B2 = 4875000 (P-1 stage 2)
B1 = 390000 (P-1 stage 1)
B1 = 195000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 157500 (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: 2022-06-28T08:38:56+00:00