is 2 9467687 - 1
has 2850058 decimal digits
takes 2.617 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8ADE4225A7DD908Adouble-checked
PRP74DD4E2EC44FE360PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272101.010366.6667%20000004793298510105.418210.2274%206.428570.0758%3.4091%
PrimeNet2640.375962.5000%4000011000000.03923.4987%0.415163.8120%1.3120%
GPU722686.295664.7059%6000014000000.05332.4626%6.348965.5750%0.8692%
Difference+4+94.7147+1.9608%+1940000+4791898510+105.3649+7.7648%+200.0796+4.5008%+2.5400%

Known prime factors (1 factor, 122.3 bits, 0.00129214% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
9467687671118687339040874005078951141080540137122.336354425894803578146386270982100
22 × 3 × 52 × 521 × 7351 × 21341 × 32381 × 34297 × 13015441
2022-06-0834297130154411.708e+100.29720.5308

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-05-19T00:00:00ANONYMOUSv4_computers4500045000---0.018--0.344%
2011-05-02T04:56:00James HeinrichQ66001800003960000---0.155--2.436%
2022-06-08T08:53:45ThaZ-1702000000479329851037122.336105.45.234210.810.227%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-06T00:00:00ANONYMOUSv4_computers21255--0.001--
1999-05-30T00:00:00ANONYMOUSv4_computers21264--0.376--
2013-09-04T08:10:00NesowaManual testing264265--0.395--
2015-05-08T13:50:00VictordeHollanderManual testing265266--0.789--
2016-06-13T03:42:44snme2pm1Manual testing266267--1.579--
2016-06-13T03:42:44snme2pm1Manual testing267268--3.157--
2019-10-08T12:46:20mnd9Manual testing268269--6.314--
2021-08-21T04:54:00SRBaseManual testing269270--12.63--
2021-09-05T13:52:35SRBaseManual testing270271--25.26--
2021-10-27T15:04:25SRBaseManual testing271272--50.51--


ECM factoring results:
Total ECM effort:1.261 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000031.261


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-03-15T00:00:00William B. Adamsv4_computers8ADE4225A7DD908A2.617
2003-06-06T00:00:00ANONYMOUSv4_computers8ADE4225A7DD908A2.617


PRP results:
dateuseridcompidcofactorsres64PRP
2022-06-14T13:45:18Poaooffice-CN2
6711186873390408740050789511410805401
74DD4E2EC44FE360no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 4793298510 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 180000, B2 = 3960000 (P-1 stage 2)
B1 = 180000 (P-1 stage 1)
B1 = 45000 (P-1 stage 1)
103
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105
106
107
103
104
105
106
107
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109
1010
TF factor-bounds graph:
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271
270
269
268
267
266
265
264
255
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270
280
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2100
2110
2120
2130
Last modified: 2022-06-14T13:45:18+00:00