is 2 2826413 - 1
has 850836 decimal digits
takes 0.218 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L7F4E33EBCC0883ADdouble-checked
PRP95FA55684979E258verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26821.088567.6471%50000002000000001.74989.1664%22.838370.6127%2.9656%
PrimeNet2590.027262.7119%120002400000.00272.9321%0.029963.8052%1.0933%
GPU722630.564765.0794%160002600000.00331.8261%0.568065.7170%0.6377%
Difference+5+20.5238+2.5677%+4984000+199740000+1.7465+7.3403%+22.2703+4.8956%+4.8956%

Known prime factors (1 factor, 75.8 bits, 0.00268037% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2826413639086373298673919339432375.75811305608439012167
3 × 72 × 23 × 3343865258507
2021-05-024933438652585074,270.220,40338,107

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-11-28T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.243%
2016-10-27T15:25:32Jocelyn Larouchelow 4M174240174240---0.020--1.147%
2016-11-03T20:54:28Jocelyn Larouchelow 4M250905250905---0.028--1.380%
2016-12-14T18:29:40Jocelyn Larouchelow 4M301086301086---0.034--1.507%
2017-03-14T03:27:03Jocelyn Larouchelow 4M36130336130306---0.060--3.457%
2019-11-10T16:24:53masserManual testing30000003000000012---0.501--6.483%
2020-01-24T15:13:23masserManual testing500000020000000012---1.750--9.166%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:22Mark RoseManual testing21260--0.054--
2009-02-12T23:05:00Sturle Sundegigi.ifi260261--0.054--
2012-02-16T13:51:00markroldgamer261262--0.109--
2013-01-10T10:21:00dbaughManual testing262263--0.347--
2015-04-21T09:19:00VictordeHollanderManual testing263264--0.695--
2015-04-21T09:19:00VictordeHollanderManual testing264265--1.322--
2016-02-13T14:46:55ramgeisManual testing265266--2.644--
2017-10-28T16:39:38Gordon SpenceManual testing266267--5.288--
2019-01-03T01:11:02chuenkitManual testing267268--10.58--


ECM factoring results:

Old Calculation Method

Total ECM effort:9.078 GHz-days
Estimated T-Level:4.150
DigitsB1CurvesCompleteFacMiss
201100083 / 1000.83043.423%
255000083 / 2800.29674.307%

New Calculation Method

Total ECM effort:9.078 GHz-days
Estimated T-Level:4.150
DigitsB1CompleteFacMiss
20110002.7126.641%
25500000.24478.343%
302500000.01598.512%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.417
500005000000798.243
50000500000040.417


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-23T00:00:00ANONYMOUSv4_computers7F4E33EBCC0883AD0.218
2018-09-08T22:58:53kkmrkkblmbrbkold7F4E33EBCC0883AD0.218


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-03T02:23:54XZTN4640G3
63908637329867391933943
95FA55684979E258no


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000, B2 = 30000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 361303, B2 = 3613030 (P-1 stage 2)
B1 = 361303 (P-1 stage 1)
B1 = 301086 (P-1 stage 1)
B1 = 250905 (P-1 stage 1)
B1 = 174240 (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: 2021-05-03T02:23:54+00:00