is 2 2972029 - 1
has 894670 decimal digits
takes 0.253 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L151DDF53434BF5C7double-checked
PRP60CE92B5D21124FDverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26940.170168.1159%1000000200000000.25125.0599%40.421369.7293%1.6133%
PrimeNet2600.051763.3333%120002200000.00292.5108%0.054664.2539%0.9206%
GPU722641.197665.6250%120002000000.00271.3487%1.200466.0886%0.4636%
Difference+5+38.9725+2.4909%+988000+19800000+0.2484+3.7113%+39.2209+3.6407%+3.6407%

Known prime factors (1 factor, 69.4 bits, 0.00233357% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
29720297546664156126716671772169.354126961482477572
22 × 470059 × 67524227
2021-05-284700596752422744.6280.50890.8480

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-13T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.199%
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.120%
2010-10-27T19:04:00markrtiny950001995000---0.024--2.180%
2015-05-08T13:54:00VictordeHollanderManual testing100000020000000---0.251--5.060%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-05-02T00:00:00ANONYMOUSv4_computers21260--0.052--
2009-02-12T23:52:00Sturle Sundeantonov.ifi260261--0.052--
2011-11-29T06:57:00Sebastian HornbostelManual testing261262--0.103--
2013-01-07T13:51:00dbaughManual testing262263--0.330--
2015-04-29T14:58:00VictordeHollanderManual testing263264--0.661--
2015-04-29T14:58:00VictordeHollanderManual testing264265--1.257--
2016-02-28T22:17:41ramgeisManual testing265266--2.514--
2017-12-03T16:23:23Gordon SpenceManual testing266267--5.029--
2018-12-25T13:40:43chuenkitManual testing267268--10.06--
2021-05-17T10:42:34TJAOIManual testing268269--20.11--


ECM factoring results:

Old Calculation Method

Total ECM effort:8.344 GHz-days
Estimated T-Level:3.550
DigitsB1CurvesCompleteFacMiss
201100071 / 1000.71048.989%
255000071 / 2800.25477.567%

New Calculation Method

Total ECM effort:8.344 GHz-days
Estimated T-Level:3.550
DigitsB1CompleteFacMiss
20110002.3069.967%
25500000.20881.183%
302500000.01398.724%


ECM Summary

B1B2factorcurvesGHz-days
500005000000606.957
50000500000040.464
50000657056770.923


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-01-16T00:00:00ANONYMOUSv4_computers151DDF53434BF5C70.253
1999-05-23T00:00:00ANONYMOUSv4_computers151DDF53434BF5C70.253
2018-10-18T05:34:34kkmrkkblmbrbkold151DDF53434BF5C70.253


PRP results:
dateuseridcompidcofactorsres64PRP
2021-05-30T05:53:19kutensvega
754666415612671667177
60CE92B5D21124FDno


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 95000, B2 = 1995000 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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106
102
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104
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108
TF factor-bounds graph:
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Last modified: 2021-05-30T05:53:19+00:00