is 2 58427 - 1
has 17589 decimal digits
takes 0.000 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
Actual267508.564876.1194 %59000000029453465429388027,599.674729.5626 %28,108.239583.1791 %
Target2440.000063.6364 %500500000.00002.1329 %0.000064.4120 %
Difference+23+508.5648+12.4830 %+589999500+294534654243880+27,599.6747+27.4298%+28,108.2395+18.7672 %

Known prime factors (3 factors, 154.3 bits, 0.26411157% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
58427467417618.8344
22
-445.977e-136.879e-91.400e-8
58427286058593928.0922448
24 × 32 × 17
2008-08-2616176.121e-102.761e-85.600e-8
5842721209085882549417657288942305644933107.3861815007263983211328434537312
25 × 3 × 118033 × 160178303241396767609
2016-12-271180331601783032413967676092.197e+121.501e+102.803e+10

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-07kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 467417
skipped known factor: 286058593
---39.781%
2023-05-03JacobZPM1Server590000000294534654293880
skipped known factor: 467417
skipped known factor: 286058593
--34,90469.213%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-05ATHcolab-Pp215000000150000000027--0.275


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
28.092
9


ECM factoring results:
Total ECM effort:100.435 GHz-days
Estimated T-Level:32.976
DigitsB1CompleteFacMiss
2011000176.3230.000%
255000033.8280.000%
302500004.9210.729%
3510000000.59555.143%
4030000000.06194.123%
45110000000.00599.470%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.327
250000250000002201.361
250000250000003652.258
100000010000000038310.87
100000070200000010.073
100000070200000010.073
1000000780768450503.978
168908649620671105021.38
195185225230737085011.79
221064326069562465012.34
249791084400200545036.06


Lucas-Lehmer results:
No L-L results for M58427


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
467417
286058593
212090858825494176572889423056449
D21877A5F8A67F78
2017-09-21Oliver KruseManual testing
467417
286058593
212090858825494176572889423056449
D21877A5F8A67F78
2017-10-02kkmrkkblmbrbkManual testing
467417
286058593
212090858825494176572889423056449
D21877A5F8A67F78
2017-12-07ATHxps
467417
286058593
212090858825494176572889423056449
D21877A5F8A67F78
2020-04-17Oliver KruseAddPrpType5
467417
286058593
212090858825494176572889423056449
ED9CA55F25FE5503
2024-02-03Wentao HuangManual testing
467417
286058593
212090858825494176572889423056449
ED9CA55F25FE5503


CERT results:
No CERT results for M58427


P-1 factor-bounds graph:
B1 = 590000000, B2 = 294534654293880 (P-1 stage 2)
B1 = 590000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
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108
109
100
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1010
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1016
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1020
1021
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.98 ~= 93-bit
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2110
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Last modified: 2024-03-03T02:29:32+00:00