is 2 251429 - 1
has 75688 decimal digits
takes 0.001 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
Actualunknown30000000101202470268904,486.311473.0033%4,486.311473.0033%73.0033%
PrimeNet2400.000055.0000%2600700000.000114.2172%0.000161.3977%6.3977%
GPU722440.000059.0909%45001100000.000110.1692%0.000163.2510%4.1601%
Difference-440.0000-59.0909%+29995500+10120246916890+4,486.3113+62.8342%+4,486.3113+9.7523%+9.7523%

Known prime factors (3 factors, 188.3 bits, 0.07489213% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2514298045729722.94016
24
-16162.230e-121.302e-72.649e-7
2514291191681017424174896172166.692236981616564552
23 × 3 × 9874234023523
2014-08-158987423402352365.8404,377.08,175.1
2514295039429194574506187907539929273098.6691002157506607134854751747
3 × 7 × 41 × 43 × 3994223197 × 6776915137
2021-03-01399422319767769151374.027e+1133.73166.138

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2514299587942520639189263186957932789.631
251429405458816142347470967271433275855878337121.609
2514296005392109827637771643158174465284926648231393895950165.361
25142948317757454411410220804735375882402427596548124578
6656111
57188.301
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-05-30T02:39:04ViliamF3500000007150000000-
skipped known factor: 8045729
--3.554--46.550%
2021-08-20T05:52:09Oliver KruseOllaptop30000000300000000024-
skipped known factor: 8045729
--1.561--44.030%
2022-04-20T21:25:36Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 8045729
skipped known factor: 119168101742417489617
--4,486--63.144%


Trial Factoring results:
No TF results for M251429


ECM factoring results:

Old Calculation Method

Total ECM effort:10.247 GHz-days
Estimated T-Level:27.203
DigitsB1CurvesCompleteFacMiss
2011000563 / 1005.6300.349%
2550000563 / 2802.01113.341%
30250000282 / 6400.44164.341%

New Calculation Method

Total ECM effort:10.247 GHz-days
Estimated T-Level:27.203
DigitsB1CompleteFacMiss
201100036.6990.000%
25500005.0060.669%
302500000.50660.286%
3510000000.04096.033%
4030000000.00399.734%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002811.680
250000250000002407.175
2500002500000070.209
2500002825000070.218
2500003300000070.232
2500003625000070.241
2500003786516970.245
2500003850000070.247


Lucas-Lehmer results:
No L-L results for M251429


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T07:18:30Oliver KruseDoppelherz
8045729
119168101742417489617
D2C90CBDD6B0CA__no
2017-09-22T10:03:04Oliver KruseManual testing
8045729
119168101742417489617
D2C90CBDD6B0CA__no
2017-10-12T16:44:18Oliver KruseGTX-2D2C90CBDD6B0CA__no
2017-11-06T17:11:53kkmrkkblmbrbkc4.xlarge
8045729
119168101742417489617
D2C90CBDD6B0CA__no
2020-04-17T20:13:09Oliver KruseAddPrpType5
8045729
119168101742417489617
2AB313904245EC__no
2021-03-03T12:59:30mnd975204
8045729
119168101742417489617
503942919457450618790753992927
2AB313904245EC14no
2021-03-03T13:28:21Cork3tits
8045729
119168101742417489617
503942919457450618790753992927
2AB313904245EC14no


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 50000000, B2 = 7150000000 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 30000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-07-20T15:44:58+00:00