is 2 58061 - 1
has 17479 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
Actual267511.770776.1194 %60000000030160348665447028,262.060229.6046 %28,773.830983.1891 %
Target2440.000063.6364 %500500000.00002.1291 %0.000064.4106 %
Difference+23+511.7706+12.4830 %+599999500+301603486604470+28,262.0602+27.4755%+28,773.8308+18.7786 %

Known prime factors (2 factors, 63.6 bits, 0.10949280% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
58061348367618.4103
3
-136.015e-131.907e-93.500e-9
58061393756515185691445.162339088644
22 × 32 × 47 × 200407
2008-08-26472004078.073e-51.886e-53.507e-5

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-07kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 348367
skipped known factor: 39375651518569
---39.769%
2023-05-02JacobZPM1Server600000000301603486654470
skipped known factor: 348367
skipped known factor: 39375651518569
--35,74169.257%


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??45.16214


ECM factoring results:
Total ECM effort:67.931 GHz-days
Estimated T-Level:32.808
DigitsB1CompleteFacMiss
2011000170.4900.000%
255000032.5420.000%
302500004.7110.900%
3510000000.56257.025%
4030000000.05694.534%
45110000000.00599.520%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.326
250000250000005853.619
100000010000000039811.16
100000087500000010.087
100000087500000010.087
100000033080597555014.15
175066125808309055011.85
175066132583935885014.58
223908925571565215012.16


Lucas-Lehmer results:
No L-L results for M58061


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
348367
39375651518569
B70D12EE35C9FF72
2017-09-21Oliver KruseManual testing
348367
39375651518569
B70D12EE35C9FF72
2017-10-13kkmrkkblmbrbkManual testing
348367
39375651518569
B70D12EE35C9FF72
2020-04-17Oliver KruseAddPrpType5
348367
39375651518569
F21008E402BF4BEA
2024-02-03Wentao HuangManual testing
348367
39375651518569
F21008E402BF4BEA


CERT results:
No CERT results for M58061


P-1 factor-bounds graph:
B1 = 600000000, B2 = 301603486654470 (P-1 stage 2)
B1 = 600000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.81 ~= 92-bit
250
260
270
280
290
2100
JSON version of this page
Last modified: 2024-02-10T07:58:40+00:00