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
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267114.535873.1343 %30000000100358126969105,417.947323.4543 %5,532.483179.4355 %
Target2440.000059.0909 %50006000000.000410.5485 %0.000463.4062 %
Difference+23+114.5358+14.0434 %+29995000+10035812096910+5,417.9469+12.9058%+5,532.4827+16.0293 %

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:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2021-09-06Oliver KruseOllaptop30000000300000000024
skipped known factor: 147290814751
skipped known factor: 145853554474529894969681
--1.93944.094%
2022-05-01Oliver KruseThreadripper-PC3000000010035812696910
skipped known factor: 147290814751
skipped known factor: 145853554474529894969681
--5,63863.199%


Trial Factoring results:
5758596061626364656667
No TF results for M259429


ECM factoring results:
Total ECM effort:28.399 GHz-days
Estimated T-Level:28.284
DigitsB1CompleteFacMiss
201100043.9740.000%
25500006.2930.185%
302500000.65751.847%
3510000000.05494.751%
4030000000.00499.639%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002011.465
500005000000800.583
250000250000001444.981
25000025000000772.864
25000034250000210.877
2500003675000070.301
25000038500000140.614
250000235419030141.979
2500004594439855012.61
25000055133578572.125


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


PRP results:
dateuseridcompidcofactorsres64
2017-09-22Oliver KruseOllaptop
147290814751
145853554474529894969681
303273AC25808E86
2017-09-22Oliver KruseManual testing
147290814751
145853554474529894969681
303273AC25808E86
2017-10-12kkmrkkblmbrbkc4.xlarge
147290814751
145853554474529894969681
303273AC25808E86
2020-04-17Oliver KruseAddPrpType5
147290814751
145853554474529894969681
C530F14A851134EA
2020-05-26mnd9mnd
147290814751
145853554474529894969681
65772865962363774195164737391
C530F14A851134EA
2020-05-27ANONYMOUSobFIV_MkQmyMzMWzFMY2
147290814751
145853554474529894969681
65772865962363774195164737391
C530F14A851134EA


CERT results:
No CERT results for M259429


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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109
1010
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1016
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=28.28 ~= 77-bit
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Last modified: 2024-03-13T02:15:48+00:00