is 2 5036351 - 1
has 1516093 decimal digits
takes 0.698 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-
PRP1743FAB67EE1465Bverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272189.886268.0556%30000093750000.15972.9452%190.045968.9964%0.9408%
PrimeNet2610.061062.2951%220004500000.00913.3172%0.070163.5458%1.2508%
GPU722651.448664.6154%340007000000.01412.4190%1.462765.4713%0.8559%
Difference+7+188.4376+3.4402%+266000+8675000+0.1455+0.5263%+188.5832+3.5251%+3.5251%

Known prime factors (1 factor, 108.9 bits, 0.00216228% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
503635160552683638003503171441517081222333108.90060115630977669649287193761
3 × 11 × 719 × 4567 × 28297 × 303089 × 64684913
2021-10-28303089646849133.614e+100.76591.3229

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-01-15T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.008%
2009-07-22T03:25:00harleeP4_260055000907500---0.020--1.154%
2014-11-17T02:17:00Jocelyn LaroucheManual testing6774467744---0.014--0.406%
2017-03-01T19:50:40Squeeky_Squirreli5-5250U_1600300000937500012---0.160--2.945%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-28T03:08:49ATH5960X25000008750000027P-133108.9001.676


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-04-05T00:00:00ANONYMOUSv4_computers21261--0.061--
2016-02-23T16:39:07Mark RoseManual testing261263--0.256--
2014-12-16T14:36:00VictordeHollanderManual testing263264--0.390--
2014-12-16T14:36:00VictordeHollanderManual testing264265--0.742--
2015-07-28T21:27:00snme2pm1Manual testing265266--1.484--
2016-05-18T12:49:21Gordon SpenceManual testing266267--2.968--
2018-06-11T12:29:24ramgeisManual testing267268--5.935--
2021-01-11T11:09:12TJAOIManual testing268269--11.87--
2021-04-02T02:25:45-Anonymous-Manual testing269270--23.74--
2021-04-02T02:25:45-Anonymous-Manual testing270271--47.48--
2021-04-02T10:14:58-Anonymous-Manual testing271272--94.96--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.897 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.897 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.897


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00ANONYMOUSv4_computers19A18CB5A820C4__0.698
2000-06-11T00:00:00ANONYMOUSv4_computersD679678F26D852__0.698


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-28T09:07:20ATHec2-PRPCF
605526836380035031714415170812223
1743FAB67EE1465Bno


P-1 factor-bounds graph:
B1 = 2500000, B2 = 87500000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 300000, B2 = 9375000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 55000, B2 = 907500 (P-1 stage 2)
B1 = 67744 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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270
269
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250
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270
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Last modified: 2021-10-28T09:07:20+00:00