is 2 1116223 - 1
has 336017 decimal digits
takes 0.033 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L50DC6CDCC7DE377Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26726.620168.6567%1000000300000000.11095.8582%26.730970.4929%1.8362%
PrimeNet2560.008662.5000%4500700000.00032.0798%0.008963.2799%0.7799%
GPU722600.137665.0000%4500220000.00020.6862%0.137865.2402%0.2402%
Difference+7+26.4825+3.6567%+995500+29978000+0.1106+5.1720%+26.5931+5.2527%+5.2527%

Known prime factors (1 factor, 61.3 bits, 0.00548937% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
111622327874421784272155931961.2741248604525452
22 × 3 × 104050377121
2011-05-0941040503771210.4939243.63455.03

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-10-22T00:00:00ANONYMOUSv4_computers500001000000---0.004--1.734%
2004-04-29T00:00:00ANONYMOUSv4_computers1000003000000---0.011--2.648%
2004-07-02T00:00:00ANONYMOUSv4_computers100000030000000---0.111--5.858%
2016-03-17T19:01:28alpertronManual testing3000001000000012---0.036--4.123%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-12-01T00:00:00ANONYMOUSv4_computers21257--0.017--
2003-04-27T00:00:00ANONYMOUSv4_computers21258--0.034--
2022-03-07T17:30:51LordJuliusManual testing258260--0.103--
2009-02-18T05:16:00Sturle Sundegideon.ifi260261--0.138--
2022-04-12T17:43:18LordJuliusManual testing21261--0.275--
2022-04-12T17:43:18LordJuliusManual testing26126261.274190.2190.0670.444
2022-04-12T17:43:18LordJuliusManual testing262263--0.879--
2022-04-12T17:43:18LordJuliusManual testing263264--1.759--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.671 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.671 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002819.91
25000025000000447.760


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-12-21T00:00:00ANONYMOUSv4_computers50DC6CDCC7DE377B0.033


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-29T03:32:39Oliver KruseGTX-3
2787442178427215593
5E571627AE46BE__no
2017-10-16T18:09:28Oliver KruseThreadripper
2787442178427215593
5E571627AE46BE__no
2018-01-02T06:51:11ATHwork
2787442178427215593
5E571627AE46BE__no


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 100000, B2 = 3000000 (P-1 stage 2)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
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100
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1010
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TF factor-bounds graph:
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264
263
262
261
260
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257
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2100
Last modified: 2022-04-12T17:43:18+00:00