is 2 259429 - 1
has 78096 decimal digits
takes 0.002 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
Actualunknown30000000100358126969105,417.947373.0521%5,417.947373.0521%73.0521%
PrimeNet2400.000055.0000%2600700000.000114.2806%0.000161.4263%6.4263%
GPU722440.000059.0909%50001200000.000110.5485%0.000163.4062%4.3153%
Difference-440.0000-59.0909%+29995000+10035812576910+5,417.9472+62.5037%+5,417.9472+9.6459%+9.6459%

Known prime factors (3 factors, 209.8 bits, 0.08086229% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2594291472908147511237.100283875
3 × 53 × 757
-1257571.020e-71.580e-62.521e-6
2594291458535544745298949696812476.949281104954485677960
23 × 5 × 11 × 47 × 2792087 × 4868431
2015-09-182792087486843173,0370.02880.0563
259429657728659623637741951647373912995.731126764675426347428766955
5 × 61 × 413111 × 1006077995124221
2020-05-2541311110060779951242216.008e+10543,1141,014,387

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
2594292148288887288286990779077093256443135114.049
259429968773901610487600305320345498534405464140132.831
25942995932062885875778841936547614763626860306042720422
71
52172.680
25942914129911703204811795805521344822640276534225093499
67346302339521
64209.780
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-09-06T08:44:27Oliver KruseOllaptop30000000300000000024-
skipped known factor: 147290814751
skipped known factor: 145853554474529894969681
--1.901--44.094%
2022-05-01T12:59:05Oliver KruseThreadripper-PC3000000010035812696910-
skipped known factor: 147290814751
skipped known factor: 145853554474529894969681
--5,418--63.199%


Trial Factoring results:
No TF results for M259429


ECM factoring results:

Old Calculation Method

Total ECM effort:10.992 GHz-days
Estimated T-Level:26.891
DigitsB1CurvesCompleteFacMiss
2011000523 / 1005.2300.521%
2550000523 / 2801.86815.394%
30250000242 / 6400.37868.494%

New Calculation Method

Total ECM effort:10.992 GHz-days
Estimated T-Level:26.891
DigitsB1CompleteFacMiss
201100029.2310.000%
25500003.7542.343%
302500000.36769.257%
3510000000.02997.173%
4030000000.00299.815%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002011.465
500005000000800.583
250000250000001445.249
25000025000000772.807
2500003425000070.287
25000038500000140.602


Lucas-Lehmer results:
No L-L results for M259429


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T08:15:24Oliver KruseOllaptop
147290814751
145853554474529894969681
303273AC25808E__no
2017-09-22T10:06:48Oliver KruseManual testing
147290814751
145853554474529894969681
303273AC25808E__no
2017-10-12T18:54:56kkmrkkblmbrbkc4.xlarge303273AC25808E__no
2020-04-17T20:16:56Oliver KruseAddPrpType5
147290814751
145853554474529894969681
C530F14A851134__no
2020-05-26T13:32:05mnd9mnd
147290814751
145853554474529894969681
65772865962363774195164737391
C530F14A851134EAno
2020-05-27T18:11:09ANONYMOUSobFIV_MkQmyMzMWzFMY2
147290814751
145853554474529894969681
65772865962363774195164737391
C530F14A851134EAno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10035812696910 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 30000000 (P-1 stage 1)
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108
101
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1016
TF factor-bounds graph:
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2100
Last modified: 2022-05-13T23:01:21+00:00