is 2 2511143 - 1
has 755930 decimal digits
takes 0.174 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-
PRP302F9C76396D4679verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26823.736267.6471%32000001120000000.91808.0607%24.654270.2549%2.6079%
PrimeNet2590.030662.7119%110001900000.00212.6412%0.032763.6967%0.9849%
GPU722630.635665.0794%110001700000.00201.4087%0.637665.5713%0.4919%
Difference+5+23.1006+2.5677%+3189000+111830000+0.9160+6.6520%+24.0166+4.6836%+4.6836%

Known prime factors (1 factor, 74.4 bits, 0.00296311% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2511143250623831297601596530232374.4084990234154279577
3 × 7 × 237630197822837
2021-05-2172376301978228371,641.31,302,1012,431,963

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.235%
2003-10-31T00:00:00Team Prime Ribv4_computers15000236250---0.003--0.795%
2010-12-16T22:40:00Jocelyn LaroucheManual testing2000020000---0.002--0.264%
2011-01-01T00:57:00Jocelyn LaroucheManual testing3000030000---0.003--0.365%
2011-01-04T22:09:00Jocelyn LaroucheManual testing5000050000---0.005--0.529%
2011-10-04T08:05:00markrtiny1650003918750---0.037--3.099%
2016-02-24T18:14:57mikrMSI320000011200000012---0.918--8.061%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:15Mark RoseManual testing259260--0.031--
2009-01-30T21:46:00Sturle Sundeginy.ifi260261--0.061--
2012-06-12T20:32:00Sebastian HornbostelManual testing261262--0.122--
2013-01-14T11:53:00dbaughManual testing262263--0.391--
2015-02-18T11:36:00VictordeHollanderManual testing263264--0.782--
2015-02-18T11:36:00VictordeHollanderManual testing264265--1.488--
2015-11-05T09:47:21ramgeisManual testing265266--2.976--
2017-07-31T07:56:49Gordon SpenceManual testing266267--5.952--
2019-05-13T13:38:13TJAOIManual testing267268--11.90--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.413 GHz-days
Estimated T-Level:22.214
DigitsB1CurvesCompleteFacMiss
2011000124 / 1001.24028.758%
2550000124 / 2800.44364.169%

New Calculation Method

Total ECM effort:11.413 GHz-days
Estimated T-Level:22.214
DigitsB1CompleteFacMiss
20110004.7690.849%
25500000.44164.313%
302500000.02897.254%
3510000000.00199.870%


ECM Summary

B1B2factorcurvesGHz-days
50000500000011910.95
50000515000050.466


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-15T00:00:00ANONYMOUSv4_computers443AAB09C358C4__0.174


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-24T12:32:22Klaus Nordmannno1
25062383129760159653023
302F9C76396D4679no


P-1 factor-bounds graph:
B1 = 3200000, B2 = 112000000 (P-1 stage 2)
B1 = 3200000 (P-1 stage 1)
B1 = 165000, B2 = 3918750 (P-1 stage 2)
B1 = 165000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 236250 (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: 2021-05-24T12:32:22+00:00