is 2 5041703 - 1
has 1517704 decimal digits
takes 0.699 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-
PRPFE7B26323AA788A3verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272189.684668.0556%30000093750000.15972.9456%189.844368.9965%0.9410%
PrimeNet2610.060962.2951%220004500000.00913.3178%0.070063.5461%1.2510%
GPU722651.447164.6154%340007000000.01412.4194%1.461265.4715%0.8561%
Difference+7+188.2376+3.4402%+266000+8675000+0.1455+0.5262%+188.3831+3.5250%+3.5250%

Known prime factors (1 factor, 75.1 bits, 0.00148881% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5041703394233020704690131148092375.0613909720789827268
22 × 3 × 13 × 79 × 7853 × 40397869
2021-10-247853403978691,553.20.44390.8262

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2006-01-15T00:00:00Jocelyn Larouchev4_computers1000010000---0.002--0.076%
2009-07-23T19:19:00harleeP4_260055000907500---0.020--1.154%
2014-11-22T16:18:00Jocelyn LaroucheManual testing6773167731---0.014--0.406%
2017-03-04T04:53:01Squeeky_Squirreli5-5250U_1600300000937500012---0.160--2.946%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-24T07:57:39ATH5960X25000009250000027P-12375.0611.730


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-31T00:00:00ANONYMOUSv4_computers21261--0.061--
2016-02-23T16:39:07Mark RoseManual testing261263--0.256--
2014-12-16T14:36:00VictordeHollanderManual testing263264--0.389--
2014-12-16T14:36:00VictordeHollanderManual testing264265--0.741--
2015-07-30T21:27:00snme2pm1Manual testing265266--1.482--
2016-05-18T12:49:23Gordon SpenceManual testing266267--2.964--
2018-06-11T12:29:26ramgeisManual testing267268--5.929--
2020-12-28T10:15:13TJAOIManual testing268269--11.86--
2021-03-27T16:29:59-Anonymous-Manual testing269270--23.71--
2021-03-27T16:30:00-Anonymous-Manual testing270271--47.43--
2021-04-02T10:14:55-Anonymous-Manual testing271272--94.86--


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)
1998-11-21T00:00:00ANONYMOUSv4_computers88D144EE396309__0.699
2015-11-13T21:36:52MadPooManual testing4E6B673CC1C682__0.699


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-24T10:24:58ATHec2-PRPCF
39423302070469013114809
FE7B26323AA788A3no


P-1 factor-bounds graph:
B1 = 2500000, B2 = 92500000 (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 = 67731 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 10000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-10-24T10:24:58+00:00