is 2 699211 - 1
has 210484 decimal digits
takes 0.014 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRPE3C863EDA1AA2D1Everified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26742.496470.1493%100000002000000000.58949.0634%43.085772.8548%2.7055%
PrimeNet2400.000050.0000%65002600000.000621.4710%0.000660.7355%10.7355%
GPU722440.000054.5455%120004500000.001016.4979%0.001062.0445%7.4990%
Difference+23+42.4963+15.6038%+9988000+199550000+0.5883-7.4345%+43.0847+10.8103%+10.8103%

Known prime factors (1 factor, 87.7 bits, 0.01254825% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6992112582206795463732784327314472787.739184651471119857438193
3 × 7 × 19 × 497579 × 930074705533
2021-12-1749757993007470553355,625,1861,467.52,740.8

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.195%
2002-01-28T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.420%
2002-03-16T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.761%
2002-05-11T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.240%
2002-07-14T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.865%
2002-10-26T00:00:00ANONYMOUSv4_computers655366553600---0.012--2.631%
2003-06-30T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.524%
2011-07-19T21:09:00Jocelyn LaroucheManual testing317002317002---0.009--1.397%
2012-02-17T11:12:00Jocelyn LaroucheManual testing528336528336---0.015--1.768%
2012-06-09T14:44:00alpertronManual testing10000000200000000---0.589--9.063%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-02-23T00:00:00ANONYMOUSv4_computers253254--0.002--
2022-03-07T09:21:30LordJuliusManual testing254255--0.003--
2001-04-01T00:00:00ANONYMOUSv4_computers21256--0.014--
2001-12-22T00:00:00ANONYMOUSv4_computers21257--0.027--
2003-09-29T00:00:00ANONYMOUSv4_computers21258--0.055--
2008-10-14T02:08:00Sturle Sundehoffman.ifi258259--0.055--
2008-10-14T02:46:00Sturle Sundehoffman.ifi259260--0.110--
2010-06-29T14:42:00Architects Cubedm1_f2260261--0.220--
2015-04-08T08:38:00lycornManual testing261264--4.651--
2015-04-08T13:44:00lycornManual testing264265--5.344--
2017-08-18T09:30:43Smok_bmvManual testing265266--10.69--
2020-01-10T19:45:14Gordon SpenceManual testing266267--21.37--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.169 GHz-days
Estimated T-Level:25.742
DigitsB1CurvesCompleteFacMiss
2011000338 / 1003.3803.347%
2550000338 / 2801.20729.841%
3025000095 / 6400.14886.195%

New Calculation Method

Total ECM effort:17.169 GHz-days
Estimated T-Level:25.742
DigitsB1CompleteFacMiss
201100015.7930.000%
25500001.87015.412%
302500000.16984.433%
3510000000.01298.762%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002435.480
25000025000000798.908
2500002500000040.451
2500003850000070.940
25000012899251051.390


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T15:44:00MadPooManual testing95035AB9815B67__0.014


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-18T02:16:10Tucker KaoOld_Timer_2013
258220679546373278432731447
E3C863EDA1AA2D1Eno


P-1 factor-bounds graph:
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 528336 (P-1 stage 1)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 317002 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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2100
Last modified: 2022-03-07T09:21:30+00:00