is 2 2546443 - 1
has 766556 decimal digits
takes 0.177 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1A4828395EA6766Bdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26711.668867.1642%30000001350000001.02508.9475%12.693870.1022%2.9380%
PrimeNet2590.030262.7119%110002000000.00212.6846%0.032363.7129%1.0010%
GPU722630.626865.0794%120001800000.00211.4776%0.628965.5954%0.5160%
Difference+4+11.0420+2.0848%+2988000+134820000+1.0229+7.4699%+12.0649+4.5068%+4.5068%

Known prime factors (1 factor, 105.6 bits, 0.00414584% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
25464436028049226678363482209125199555932105.57111836214725164402820344153
3 × 7 × 58427 × 530447 × 1928809 × 9428633
2018-10-06192880994286336.795e+100.23510.3948

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-23T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.292%
2003-11-08T00:00:00Team Prime Ribv4_computers15000198750---0.003--0.884%
2010-12-19T21:42:00Jocelyn LaroucheManual testing2000020000---0.002--0.315%
2011-01-08T14:34:00Jocelyn LaroucheManual testing5000050000---0.005--0.620%
2011-02-23T07:50:00James Heinrichi7-9203000008000000---0.072--4.386%
2018-08-17T10:20:07Jocelyn Larouchelow 4M60000060000006---0.090--4.470%
2018-10-06T02:50:05mikrMSI30000001350000001232105.5711.0250.3532.0508.947%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.030--
2016-02-23T16:29:16Mark RoseManual testing259260--0.030--
2009-02-01T19:22:00Sturle Sundeletov.ifi260261--0.060--
2012-06-15T17:43:00Sebastian HornbostelManual testing261262--0.121--
2013-01-14T11:53:00dbaughManual testing262263--0.386--
2015-02-23T17:24:00VictordeHollanderManual testing263264--0.771--
2015-02-23T17:24:00VictordeHollanderManual testing264265--1.467--
2015-11-08T21:02:57ramgeisManual testing265266--2.935--
2017-08-08T13:42:11Gordon SpenceManual testing266267--5.869--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.766 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:2.766 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110000.96837.994%
25500000.08791.625%
302500000.00599.463%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.766


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13T00:00:00ANONYMOUSv4_computers1A4828395EA6766B0.177
2018-06-11T07:39:59kkmrkkblmbrbkold1A4828395EA6766B0.177


PRP results:
dateuseridcompidcofactorsres64PRP
2018-10-06T03:10:59ATHec2-PRPCF
60280492266783634822091251995559
81D274F5D5C282__no
2018-10-07T06:41:40arnaudstm-11-010
60280492266783634822091251995559
81D274F5D5C282__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 135000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 15000, B2 = 198750 (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: 2018-10-07T06:41:40+00:00