is 2 58901 - 1
has 17731 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Assigned as ECM on 2024-02-19, 0.0% done, ETC 2024-02-26
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267504.472276.1194 %59000000029453465429388027,599.674729.5730 %28,104.146983.1816 %
Target2440.000063.6364 %500500000.00002.1378 %0.000064.4137 %
Difference+23+504.4722+12.4830 %+589999500+294534654243880+27,599.6747+27.4352%+28,104.1469+18.7679 %

Known prime factors (3 factors, 126.4 bits, 0.21466684% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5890110559771291029.9768964
22 × 33 × 83
-27831.214e-95.168e-89.451e-8
589011458048312231237.0851237711
647 × 1913
2008-08-2664719133.108e-71.231e-62.265e-6
589017500363214089704711859.3806366923493735
3 × 5 × 7 × 71 × 2099 × 406883
2008-08-2620994068831.30384.154e-57.121e-5

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-07kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 1055977129
skipped known factor: 145804831223
skipped known factor: 750036321408970471
---39.795%
2023-05-06JacobZPM1Server590000000294534654293880
skipped known factor: 1055977129
skipped known factor: 145804831223
skipped known factor: 750036321408970471
--34,90469.229%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-06ATHcolab-Pp215000000150000000027--0.275


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??37.08512


ECM factoring results:
Total ECM effort:55.039 GHz-days
Estimated T-Level:32.661
DigitsB1CompleteFacMiss
2011000165.9900.000%
255000031.2610.000%
302500004.4901.122%
3510000000.53258.730%
4030000000.05394.838%
45110000000.00599.548%


ECM Summary

B1B2factorcurvesGHz-days
10.001
5000050000002810.327
250000250000005853.619
100000010000000038110.82
100000054600000010.061
100000054600000010.061
100000033080597555014.15
1726234871503459504.949
17262341894474036509.067
213511725485861045012.04


Lucas-Lehmer results:
No L-L results for M58901


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseDoppelherz
1055977129
145804831223
750036321408970471
75D4807E479A0576
2017-09-21Oliver KruseManual testing
1055977129
145804831223
750036321408970471
75D4807E479A0576
2017-11-06kkmrkkblmbrbkc4.xlarge
1055977129
145804831223
750036321408970471
75D4807E479A0576
2020-04-17Oliver KruseAddPrpType5
1055977129
145804831223
750036321408970471
E2848E61147415AB
2024-02-03Wentao HuangManual testing
1055977129
145804831223
750036321408970471
E2848E61147415AB


CERT results:
No CERT results for M58901


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:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.66 ~= 92-bit
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Last modified: 2024-02-22T11:39:03+00:00