is 2 2151203 - 1
has 647577 decimal digits
takes 0.141 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-
PRP99B627432D0DE48Fverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26827.707767.6471%50000005000000003.047810.1266%30.755570.9233%3.2762%
PrimeNet2580.017862.0690%90001700000.00172.7340%0.019563.1060%1.0370%
GPU722620.285664.5161%100001600000.00171.5180%0.287365.0548%0.5386%
Difference+6+27.4221+3.1309%+4990000+499840000+3.0461+8.6086%+30.4682+5.8685%+5.8685%

Known prime factors (1 factor, 83.9 bits, 0.00390161% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2151203184477943226100035007514892683.9324287785560593306048
26 × 32 × 18607651 × 400054373
2021-02-15186076514000543731,617,8333.75533.8811

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-03-07T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.225%
2010-11-03T21:25:00Jocelyn LaroucheManual testing2000020000---0.002--0.254%
2010-12-30T22:20:00Jocelyn LaroucheManual testing3000030000---0.003--0.353%
2011-01-13T23:58:00Jocelyn LaroucheManual testing5000050000---0.005--0.513%
2011-01-22T14:59:00James Heinrichi7-9201350002666250---0.026--2.681%
2016-05-02T01:23:01Jocelyn LaroucheManual testing270000995602712---0.076--3.983%
2017-10-04T07:45:20Jocelyn Larouchelow 4M54000054000006---0.077--3.829%
2017-11-17T22:14:09Jocelyn Larouchelow 4M6480001095162912---0.115--4.546%
2017-12-07T10:04:49mikrMSI250000012500000012---0.875--7.917%
2019-07-05T02:20:06Dylan Delgadolaptop-i55200500000050000000012---3.048--10.127%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-01-29T00:00:00ANONYMOUSv4_computers21258--0.018--
1999-05-02T00:00:00ANONYMOUSv4_computers21258--0.018--
2016-02-23T16:29:07Mark RoseManual testing258260--0.054--
2009-01-04T13:09:00Sturle Sunderodolfo.ifi260261--0.071--
2009-01-07T07:37:00Sturle Sundeklughardt.ifi261262--0.143--
2013-09-08T17:50:00ramgeisManual testing262263--0.456--
2015-03-18T15:42:00VictordeHollanderManual testing263264--0.913--
2015-03-18T15:42:00VictordeHollanderManual testing264265--1.737--
2015-12-30T18:01:32ramgeisManual testing265266--3.474--
2016-10-29T15:24:12Gordon SpenceManual testing266267--6.947--
2019-05-20T13:24:30TJAOIManual testing267268--13.89--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.128 GHz-days
Estimated T-Level:22.464
DigitsB1CurvesCompleteFacMiss
2011000148 / 1001.48022.595%
2550000138 / 2800.49361.034%

New Calculation Method

Total ECM effort:12.128 GHz-days
Estimated T-Level:22.464
DigitsB1CompleteFacMiss
20110004.4771.137%
25500000.40666.660%
302500000.02597.525%
3510000000.00199.885%


ECM Summary

B1B2factorcurvesGHz-days
110001100000100.188
50000500000013611.61
50000500000010.085
766202417689010.246


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-11-14T18:08:37MadPooManual testing581A4438BC1343__0.141


PRP results:
dateuseridcompidcofactorsres64PRP
2021-02-16T13:14:36ViliamF3
18447794322610003500751489
99B627432D0DE48Fno


P-1 factor-bounds graph:
B1 = 5000000, B2 = 500000000 (P-1 stage 2)
B1 = 2500000, B2 = 125000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 648000, B2 = 10951629 (P-1 stage 2)
B1 = 540000, B2 = 5400000 (P-1 stage 2)
B1 = 270000, B2 = 9956027 (P-1 stage 2)
B1 = 648000 (P-1 stage 1)
B1 = 540000 (P-1 stage 1)
B1 = 135000, B2 = 2666250 (P-1 stage 2)
B1 = 270000 (P-1 stage 1)
B1 = 135000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 20000 (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: 2021-02-16T13:14:36+00:00