is 2 2221523 - 1
has 668746 decimal digits
takes 0.146 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L6EF4940CDBFB05E1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272430.485669.4444%100000000500115752136025,986.276821.2049%26,416.762475.9237%6.4793%
PrimeNet2580.017362.0690%100001800000.00182.8682%0.019163.1569%1.0879%
GPU722620.276564.5161%110001800000.00191.6301%0.278565.0946%0.5784%
Difference+10+430.2090+4.9283%+99989000+5001157341360+25,986.2749+19.5748%+26,416.4839+10.8292%+5.9008%

Known prime factors (1 factor, 127.3 bits, 0.00572871% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
222152320438870913701665573780717142380725635939127.26546001934064382105370461429259073
7 × 73 × 42293 × 16926743 × 18582911 × 6767052587
2022-11-041858291167670525877.438e+1036.82565.650

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-27T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.094%
2010-10-13T19:45:00Oscar Östlin7501175011---0.007--0.369%
2011-01-02T00:23:00Oscar Östlin850001593750---0.016--1.313%
2014-05-26T23:57:00Jocelyn LaroucheManual testing113892113892---0.011--0.490%
2014-09-29T22:04:00Jocelyn LaroucheManual testing142784142784---0.014--0.565%
2015-05-01T06:10:00Squeeky_SquirrelP4_26001600004600000---0.038--1.985%
2015-11-19T06:48:34Alexander DubrovinManual testing100000050000006---0.116--2.672%
2015-11-19T06:48:34Alexander DubrovinManual testing1000000100000006---0.142--3.173%
2015-12-20T16:44:19Alexander DubrovinManual testing20000006500000012---0.518--4.973%
2022-01-24T21:05:39LaurVbutu69725936972593---0.665--3.174%
2022-01-26T15:37:51LaurVbutu6972593112580788320---585.4--13.653%
2022-02-05T10:40:13LaurVbutu5788516157885161---5.519--5.646%
2022-02-16T04:48:06LaurVbutu57885161579246627960---3,014--17.939%
2022-03-17T19:30:40LaurVbutu8258993382589933---7.874--6.124%
2022-04-11T00:52:02LaurVZero818578851612100390512220---10,915--19.535%
2022-10-12T08:48:44LaurVZero818100000000100000000---9.53--6.388%
2022-11-04T19:40:37LaurVZero818100000000500115752136039127.26525,9860.29251,97321.205%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-11T00:00:00ANONYMOUSv4_computers254255--0.001--
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:09Mark RoseManual testing258260--0.052--
2009-01-11T06:46:00Sturle Sundebach.ifi260261--0.069--
2012-04-19T00:48:00Sebastian HornbostelManual testing261262--0.138--
2013-01-23T08:23:00dbaughManual testing262263--0.442--
2015-03-06T11:15:00VictordeHollanderManual testing263264--0.884--
2015-03-06T11:15:00VictordeHollanderManual testing264265--1.682--
2015-10-23T09:34:54ramgeisManual testing265266--3.364--
2016-12-24T00:00:57Gordon SpenceManual testing266267--6.728--
2019-04-22T13:11:39TJAOIManual testing267268--13.46--
2021-08-19T12:30:56TJAOIManual testing268269--26.91--
2022-09-06T17:18:06LaurVManual testing269270--53.82--
2022-09-06T17:18:06LaurVManual testing270271--107.6--
2022-09-06T17:18:06LaurVManual testing271272--215.3--


ECM factoring results:
Total ECM effort:252.619 GHz-days
Estimated T-Level:25.941
DigitsB1CompleteFacMiss
201100016.5870.000%
25500002.06112.733%
302500000.18882.842%
3510000000.01498.604%


ECM Summary

B1B2factorcurvesGHz-days
50000500000022018.86
500001177092453026.47
25000055091168050207.3


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-14T00:00:00ANONYMOUSv4_computers6EF4940CDBFB05E10.146
2018-04-19T01:52:24kkmrkkblmbrbkold6EF4940CDBFB05E10.146


PRP results:
dateuseridcompidcofactorsres64PRP
2022-11-07T06:00:00LordJuliusWhiteBox
204388709137016655737807171423807256359
9A3A0B666A8FE0BAno


P-1 factor-bounds graph:
B1 = 100000000, B2 = 5001157521360 (P-1 stage 2)
B1 = 57885161, B2 = 2100390512220 (P-1 stage 2)
B1 = 57885161, B2 = 579246627960 (P-1 stage 2)
B1 = 6972593, B2 = 112580788320 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 82589933 (P-1 stage 1)
B1 = 57885161 (P-1 stage 1)
B1 = 6972593 (P-1 stage 1)
B1 = 2000000, B2 = 65000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 1000000, B2 = 10000000 (P-1 stage 2)
B1 = 1000000, B2 = 5000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 160000, B2 = 4600000 (P-1 stage 2)
B1 = 85000, B2 = 1593750 (P-1 stage 2)
B1 = 160000 (P-1 stage 1)
B1 = 142784 (P-1 stage 1)
B1 = 113892 (P-1 stage 1)
B1 = 85000 (P-1 stage 1)
B1 = 75011 (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: 2022-11-07T06:00:00+00:00