is 2 2572243 - 1
has 774323 decimal digits
takes 0.178 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L58107FF72748F4D9double-checked
PRPE3D29922BC629114verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.172367.6471%32000001120000000.91808.0797%24.090370.2611%2.6140%
PrimeNet2590.029962.7119%110002000000.00212.6896%0.032063.7148%1.0029%
GPU722630.620565.0794%120001900000.00221.5044%0.622765.6047%0.5253%
Difference+5+22.5519+2.5677%+3188000+111810000+0.9158+6.5753%+23.4677+4.6564%+4.6564%

Known prime factors (1 factor, 73.7 bits, 0.00286530% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2572243153704849850526739418892373.7032987759124051008
26 × 61 × 765307152677
2021-01-06647653071526771,450.04,193.57,832.3

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-31T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.237%
2003-11-08T00:00:00Team Prime Ribv4_computers15000202500---0.003--0.762%
2010-12-21T01:10:00Jocelyn LaroucheManual testing2000020000---0.002--0.265%
2011-01-10T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.532%
2011-04-17T04:24:00James HeinrichWHS1750004112500---0.039--3.173%
2016-06-17T15:56:56mikrMSI320000011200000012---0.918--8.080%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-26T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-01-30T22:16:00Sturle Sundescarpia.ifi260261--0.060--
2012-06-19T06:42:00Sebastian HornbostelManual testing261262--0.119--
2013-01-23T08:30:00dbaughManual testing262263--0.382--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.763--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.453--
2015-11-08T21:03:04ramgeisManual testing265266--2.905--
2017-08-20T12:59:32Gordon SpenceManual testing266267--5.810--
2019-09-04T12:09:48YxinityManual testing267268--11.62--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.125 GHz-days
Estimated T-Level:4.400
DigitsB1CurvesCompleteFacMiss
201100088 / 1000.88041.295%
255000088 / 2800.31472.990%

New Calculation Method

Total ECM effort:8.125 GHz-days
Estimated T-Level:4.400
DigitsB1CompleteFacMiss
20110002.8395.850%
25500000.25777.371%
302500000.01698.433%


ECM Summary

B1B2factorcurvesGHz-days
500005000000857.848
50000500000030.277


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-26T00:00:00ANONYMOUSv4_computers58107FF72748F4D90.178
2018-06-17T01:39:07kkmrkkblmbrbkold58107FF72748F4D90.178


PRP results:
dateuseridcompidcofactorsres64PRP
2021-01-07T18:29:41seatseadt
15370484985052673941889
E3D29922BC629114no


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 175000, B2 = 4112500 (P-1 stage 2)
B1 = 175000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 202500 (P-1 stage 2)
B1 = 20000 (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: 2021-01-07T18:29:41+00:00