is 2 3102929 - 1
has 934075 decimal digits
takes 0.264 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.209267.6471%12000002365135501.73038.3870%20.939570.3605%2.7134%
PrimeNet2600.049563.3333%120002200000.00292.5308%0.052464.2613%0.9280%
GPU722641.147165.6250%140002400000.00321.5074%1.150366.1432%0.5182%
Difference+4+18.0621+2.0221%+1186000+236273550+1.7270+6.8796%+19.7892+4.2173%+2.1953%

Known prime factors (3 factors, 129.0 bits, 0.00415577% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
310292943441007825.3737
7
-171.443e-121.638e-72.512e-7
31029297549798608491239.458121656
23 × 3 × 37 × 137
2008-09-30371373.145e-85.239e-69.293e-6
3102929200539338714529148172064.1213231452261952
26 × 32 × 1213 × 4625029
2017-07-24121346250291.80700.03120.0581

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
3102929327970854200004349432064.830
31029298711630816873231727357007192789.493
31029291514031620374456948199411029963332103.578
310292965771058218908126907929251948512925043139128.951
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2020-12-23T16:42:53Jocelyn LaroucheManual testing31029231029296-
skipped known factor: 43441007
skipped known factor: 754979860849
--0.057--3.315%
2022-01-07T18:19:05Jocelyn LaroucheManual testing1050000116447100-
skipped known factor: 43441007
skipped known factor: 754979860849
skipped known factor: 20053933871452914817
--0.905--7.490%
2022-09-04T13:25:55Jocelyn LaroucheManual testing1200000236513550-
skipped known factor: 43441007
skipped known factor: 754979860849
skipped known factor: 20053933871452914817
--1.730--8.387%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-09-30T14:46:00markrManual testing??39.458127.84713e-90.5861.74089e-8
2021-01-04T09:13:17Jocelyn LaroucheManual testing259260--0.025--
2021-01-04T13:51:26Jocelyn LaroucheManual testing260261--0.049--
2021-01-05T04:03:47Jocelyn LaroucheManual testing261262--0.099--
2021-01-05T18:32:51Jocelyn LaroucheManual testing262263--0.316--
2021-01-07T23:43:18Jocelyn LaroucheManual testing263264--0.633--
2021-01-11T11:48:23Jocelyn LaroucheManual testing264265
skipped known factors(?)
--1.204--
2022-01-18T23:14:39Jocelyn LaroucheManual testing26426564.121200.6600.5361.340
2017-07-24T11:15:18TJAOIManual testing264265*64.121200.6600.5361.340
2022-03-16T23:46:19LordJuliusManual testing265266--2.408--
2022-03-16T23:46:19LordJuliusManual testing266267--4.817--
2021-06-23T17:43:47Jocelyn LaroucheManual testing267268--9.63--


ECM factoring results:
Total ECM effort:0.350 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.350


Lucas-Lehmer results:
No L-L results for M3102929


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:09:49alpertronManual testing
43441007
754979860849
20053933871452914817
5763D76730C4F4__no
2017-11-18T05:25:44Oliver KruseThreadripper
43441007
754979860849
20053933871452914817
5763D76730C4F4__no


P-1 factor-bounds graph:
B1 = 1200000, B2 = 236513550 (P-1 stage 2)
B1 = 1050000, B2 = 116447100 (P-1 stage 2)
B1 = 1200000 (P-1 stage 1)
B1 = 1050000 (P-1 stage 1)
B1 = 310292, B2 = 3102929 (P-1 stage 2)
B1 = 310292 (P-1 stage 1)
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TF factor-bounds graph:
268
267
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264
263
262
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2
220
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2100
Last modified: 2022-09-04T13:25:55+00:00