is 2 58369 - 1
has 17571 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
Actual267509.070276.1194 %59000000029453465429388027,599.674729.5614 %28,108.744983.1788 %
Target2440.000063.6364 %500500000.00002.1323 %0.000064.4117 %
Difference+23+509.0701+12.4830 %+589999500+294534654243880+27,599.6747+27.4291%+28,108.7448+18.7671 %

Known prime factors (1 factor, 54.1 bits, 0.09264959% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
58369190235898980018331754.079162959703764
22 × 11 × 13 × 284894587
2014-04-23132848945870.04110.02670.0499

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-07kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 19023589898001833
---39.779%
2023-05-03JacobZPM1Server590000000294534654293880
skipped known factor: 19023589898001833
--34,90469.211%


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


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-10-29ANONYMOUSv4_computers2522530.010


ECM factoring results:
Total ECM effort:65.780 GHz-days
Estimated T-Level:32.779
DigitsB1CompleteFacMiss
2011000168.9900.000%
255000032.2420.000%
302500004.6640.942%
3510000000.55657.356%
4030000000.05694.590%
45110000000.00599.525%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.327
250000250000005853.619
100000010000000038911.02
100000070200000010.073
100000033080597555014.15
17377431367128398506.954
194573732584604945014.74
221733932404724025014.89


Lucas-Lehmer results:
No L-L results for M58369


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
19023589898001833
1E008C0724699A6B
2017-09-21Oliver KruseManual testing
19023589898001833
1E008C0724699A6B
2017-10-13kkmrkkblmbrbkManual testing
19023589898001833
1E008C0724699A6B
2020-04-17Oliver KruseAddPrpType5
19023589898001833
435A88D1C3F55BF2
2024-02-03Wentao HuangManual testing
19023589898001833
435A88D1C3F55BF2


CERT results:
No CERT results for M58369


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)
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TF factor-bounds graph:
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.78 ~= 92-bit
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Last modified: 2024-02-09T03:30:02+00:00