is 2 2250461 - 1
has 677457 decimal digits
takes 0.148 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L716983849F666392double-checked
PRP3FE478B5E7F592CEverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26953.049968.1159%1000000200000000.19404.8998%53.244069.6782%1.5623%
PrimeNet2580.017162.0690%100001900000.00192.9163%0.019063.1752%1.1062%
GPU722620.273064.5161%110001900000.00201.6600%0.275065.1052%0.5890%
Difference+7+52.7769+3.5998%+989000+19810000+0.1920+3.2398%+52.9690+4.5730%+4.5730%

Known prime factors (1 factor, 86.2 bits, 0.00383205% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2250461912962946499611874582955512686.23920283909530083211275
52 × 19 × 42702967431754129
2021-09-0425427029674317541299,217,067221,809,889414,279,102

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-04-03T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.183%
2010-11-06T12:26:00Jocelyn LaroucheManual testing1500015000---0.001--0.166%
2010-11-11T22:09:00Jocelyn LaroucheManual testing3000030000---0.003--0.302%
2011-01-06T10:04:00markrtiny1000002075000---0.020--2.131%
2014-09-02T00:10:00Jocelyn LaroucheManual testing128521128521---0.012--0.812%
2016-03-02T12:01:16Jocelyn LaroucheManual testing342144615859212---0.063--3.386%
2019-06-27T17:39:50BigBrotherWinston10000002000000012---0.194--4.900%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2016-02-23T16:29:10Mark RoseManual testing21260--0.068--
2009-01-11T11:37:00Sturle Sundewright.ifi260261--0.068--
2012-05-04T10:47:00Sebastian HornbostelManual testing261262--0.136--
2013-12-04T06:19:00LaurVManual testing262263--0.436--
2015-03-10T10:44:00VictordeHollanderManual testing263264--0.872--
2015-03-10T10:44:00VictordeHollanderManual testing264265--1.660--
2015-10-27T09:37:31ramgeisManual testing265266--3.321--
2017-01-05T21:20:49Gordon SpenceManual testing266267--6.641--
2019-05-20T13:24:28TJAOIManual testing267268--13.28--
2021-06-24T13:44:36TJAOIManual testing268269--26.56--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.605 GHz-days
Estimated T-Level:23.036
DigitsB1CurvesCompleteFacMiss
2011000170 / 1001.70018.113%
2550000170 / 2800.60754.431%

New Calculation Method

Total ECM effort:14.605 GHz-days
Estimated T-Level:23.036
DigitsB1CompleteFacMiss
20110005.4910.412%
25500000.49660.912%
302500000.03196.993%
3510000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
50000500000015913.65
50000500000040.343
50000515000070.609


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-01T00:00:00ANONYMOUSv4_computers716983849F6663920.148
2018-04-23T01:14:59kkmrkkblmbrbkold716983849F6663920.148


PRP results:
dateuseridcompidcofactorsres64PRP
2021-09-05T09:14:21SRJ2877LTOS
91296294649961187458295551
3FE478B5E7F592CEno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 342144, B2 = 6158592 (P-1 stage 2)
B1 = 342144 (P-1 stage 1)
B1 = 100000, B2 = 2075000 (P-1 stage 2)
B1 = 128521 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (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: 2021-09-05T09:14:21+00:00