is 2 5043301 - 1
has 1518185 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-L22452289FFB83DC2double-checked
PRPD3F14E13365A99AAverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272189.624568.0556%30000093750000.15972.9458%189.784268.9966%0.9410%
PrimeNet2610.060962.2951%220004500000.00913.3180%0.070063.5461%1.2510%
GPU722651.446664.6154%340007000000.01412.4195%1.460765.4715%0.8561%
Difference+7+188.1779+3.4402%+266000+8675000+0.1455+0.5262%+188.3235+3.5250%+3.5250%

Known prime factors (1 factor, 77.4 bits, 0.00153440% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
50433011972413566166772492028172477.38419554787292755008
26 × 3 × 7 × 19 × 580561 × 1319023
2021-10-25580561131902310,7040.12480.2375

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-08-17T00:00:00ANONYMOUSv4_computers25000331250---0.008--0.664%
2009-08-09T06:56:00harleeP4_260055000907500---0.020--1.154%
2014-11-22T16:18:00Jocelyn LaroucheManual testing6772767727---0.014--0.406%
2017-03-04T19:14:48Squeeky_Squirreli5-5250U_1600300000937500012---0.160--2.946%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-10-25T08:39:27ATH5960X2500000250000027P-12477.3840.764


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-01T00:00:00ANONYMOUSv4_computers21261--0.061--
2016-02-23T16:39:07Mark RoseManual testing261263--0.256--
2014-12-17T21:25:00VictordeHollanderManual testing263264--0.389--
2014-12-17T21:25:00VictordeHollanderManual testing264265--0.741--
2015-07-30T21:28:00snme2pm1Manual testing265266--1.482--
2016-05-18T12:49:23Gordon SpenceManual testing266267--2.963--
2018-06-11T12:29:26ramgeisManual testing267268--5.927--
2020-12-28T10:15:13TJAOIManual testing268269--11.85--
2021-04-01T10:41:06-Anonymous-Manual testing269270--23.71--
2021-04-01T10:41:06-Anonymous-Manual testing270271--47.41--
2021-04-02T23:59:21-Anonymous-Manual testing271272--94.83--


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)
1998-06-20T00:00:00ANONYMOUSv4_computers22452289FFB83DC20.699
2000-09-15T00:00:00ANONYMOUSv4_computers22452289FFB83DC20.699


PRP results:
dateuseridcompidcofactorsres64PRP
2021-10-25T10:53:38ATHec2-PRPCFDC
197241356616677249202817
D3F14E13365A99AAno


P-1 factor-bounds graph:
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 = 67727 (P-1 stage 1)
B1 = 55000 (P-1 stage 1)
B1 = 25000, B2 = 331250 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
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TF factor-bounds graph:
272
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Last modified: 2021-10-25T10:53:38+00:00