is 2 2310551 - 1
has 695546 decimal digits
takes 0.156 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LFF2D231759E92DCCdouble-checked
PRPF4CC8FEC3C0BDA0Dverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26951.670368.1159%60000001800000001.51648.2999%53.186670.7623%2.6463%
PrimeNet2580.016662.0690%100001900000.00192.9305%0.018663.1805%1.1116%
GPU722620.265964.5161%120002000000.00221.7391%0.268165.1332%0.6171%
Difference+7+51.4044+3.5998%+5988000+179800000+1.5142+6.5608%+52.9185+5.6290%+5.6290%

Known prime factors (1 factor, 88.6 bits, 0.00383258% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
23105514542988438212732187177240572788.55498309633464328036628
22 × 3 × 8192469455360669719
2021-08-014819246945536066971927,764,4894.372e+108.166e+10

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-09-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.185%
2010-02-15T08:06:00Budannan50000010000000---0.100--3.959%
2018-01-20T10:22:57Sid & AndyHand_In_The_Box600000018000000012---1.516--8.300%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-02-08T00:00:00ANONYMOUSv4_computers21258--0.017--
2016-02-23T16:29:11Mark RoseManual testing258260--0.050--
2009-01-15T04:20:00Sturle Sundebakeng.ifi260261--0.066--
2012-05-23T08:51:00Sebastian HornbostelManual testing261262--0.133--
2013-12-06T02:47:00Jerry HallettManual testing262263--0.425--
2015-03-03T21:35:00VictordeHollanderManual testing263264--0.850--
2015-03-03T21:35:00VictordeHollanderManual testing264265--1.617--
2015-10-22T10:17:24ramgeisManual testing265266--3.234--
2017-05-31T02:32:35Gordon SpenceManual testing266267--6.468--
2019-04-29T13:20:26TJAOIManual testing267268--12.94--
2021-07-12T19:28:27TJAOIManual testing268269--25.87--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.306 GHz-days
Estimated T-Level:22.786
DigitsB1CurvesCompleteFacMiss
2011000156 / 1001.56020.849%
2550000156 / 2800.55757.227%

New Calculation Method

Total ECM effort:14.306 GHz-days
Estimated T-Level:22.786
DigitsB1CompleteFacMiss
20110005.0890.616%
25500000.45963.167%
302500000.02897.213%
3510000000.00199.871%


ECM Summary

B1B2factorcurvesGHz-days
500005000070.365
50000500000014612.93
50000675000070.710
50000675000030.304


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-02-08T00:00:00ANONYMOUSv4_computersFF2D231759E92DCC0.156
1999-05-30T00:00:00ANONYMOUSv4_computersFF2D231759E92DCC0.156
2018-05-03T15:51:17kkmrkkblmbrbkoldFF2D231759E92DCC0.156


PRP results:
dateuseridcompidcofactorsres64PRP
2021-08-01T07:48:58SRJ2877LTOS
454298843821273218717724057
F4CC8FEC3C0BDA0Dno


P-1 factor-bounds graph:
B1 = 6000000, B2 = 180000000 (P-1 stage 2)
B1 = 6000000 (P-1 stage 1)
B1 = 500000, B2 = 10000000 (P-1 stage 2)
B1 = 500000 (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: 2021-08-01T07:48:58+00:00