is 2 57251 - 1
has 17235 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
Actual267519.011376.1194 %61000000079662357998223074,646.834230.8597 %75,165.845683.4889 %
Target2440.000063.6364 %500500000.00002.1205 %0.000064.4075 %
Difference+23+519.0113+12.4830 %+609999500+796623579932230+74,646.8342+28.7391%+75,165.8455+19.0814 %

Known prime factors (4 factors, 194.8 bits, 0.34017987% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
57251458009618.8054
22
-446.100e-136.879e-91.400e-8
572511527114319031237.1521333701
32 × 17 × 23 × 379
2008-08-26233793.198e-77.291e-88.050e-8
572518367575603352891549.5727307798644
22 × 1283 × 1423967
2008-08-26128314239670.00130.00010.0002
572517247120568151998090970383592789.2286329252386990618583929
39619 × 103613 × 1168357 × 1319651
2010-05-03116835713196512.190e+90.00200.0041

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-05kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 458009
skipped known factor: 152711431903
skipped known factor: 836757560335289
skipped known factor: 724712056815199809097038359
---39.743%
2023-04-25JacobZGreatLakes610000000796623579982230
skipped known factor: 458009
skipped known factor: 152711431903
skipped known factor: 836757560335289
skipped known factor: 724712056815199809097038359
--117,12771.022%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-04ATHcolab-Pp215000000150000000027--0.176


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??
37.152
12
2008-08-26ANONYMOUSManual testing??
49.572
15
0.002


ECM factoring results:
Total ECM effort:75.725 GHz-days
Estimated T-Level:32.910
DigitsB1CompleteFacMiss
2011000175.6510.000%
255000033.5860.000%
302500004.8730.765%
3510000000.58255.882%
4030000000.05894.338%
45110000000.00599.502%


ECM Summary

B1B2factorcurvesGHz-days
10.001
5000050000002800.325
250000250000005853.619
100000010000000042911.76
1000000156200000010.142
1000000156200000010.142
100000033080597555014.15
179507226414276475012.13
179507227308502405012.49
228573047699100625021.11


Lucas-Lehmer results:
No L-L results for M57251


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
458009
152711431903
836757560335289
724712056815199809097038359
61F398B7A7AE4905
2017-09-21Oliver KruseManual testing
458009
152711431903
836757560335289
724712056815199809097038359
61F398B7A7AE4905
2017-11-06kkmrkkblmbrbkc4.xlarge
458009
152711431903
836757560335289
724712056815199809097038359
61F398B7A7AE4905
2020-04-17Oliver KruseAddPrpType5
458009
152711431903
836757560335289
724712056815199809097038359
020FD2449E66D695
2024-02-03Wentao HuangManual testing
458009
152711431903
836757560335289
724712056815199809097038359
020FD2449E66D695


CERT results:
No CERT results for M57251


P-1 factor-bounds graph:
B1 = 610000000, B2 = 796623579982230 (P-1 stage 2)
B1 = 610000000 (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=32.91 ~= 93-bit
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Last modified: 2024-02-29T14:28:04+00:00