is 2 57973 - 1
has 17452 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
Actual267512.547576.1194 %60000000030160348665447028,262.060229.6026 %28,774.607783.1887 %
Target2440.000063.6364 %500500000.00002.1281 %0.000064.4102 %
Difference+23+512.5475+12.4830 %+599999500+301603486604470+28,262.0602+27.4745%+28,774.6077+18.7785 %

Known prime factors (2 factors, 137.5 bits, 0.23726360% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
5797342187260848916317211961.87236385266286820
22 × 5 × 11 × 165387574031
2014-04-23111653875740315.298715.49728.945
57973604144905547184203553272375.677521057134827578531
7 × 13 × 5725902580522841
2009-06-20135725902580522841131,991536,5331,002,094

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-05kkmrkkblmbrbkManual testing100000000200000000012---39.766%
2023-05-01JacobZPM1Server600000000301603486654470
skipped known factor: 4218726084891631721
--35,74169.254%


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
2000-04-05ANONYMOUSv4_computers212540.041


ECM factoring results:
Total ECM effort:68.777 GHz-days
Estimated T-Level:32.794
DigitsB1CompleteFacMiss
2011000168.7840.000%
255000032.3120.000%
302500004.6840.924%
3510000000.55957.188%
4030000000.05694.560%
45110000000.00599.522%


ECM Summary

B1B2factorcurvesGHz-days
10.030
5000050000002540.296
250000250000005853.619
100000010000000039410.89
100000088647195010.088
10000001000583430504.862
171143349621121555021.40
197698233300492575015.05
225320026464468295012.53


Lucas-Lehmer results:
No L-L results for M57973


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PCD7A79139C50E6E__
2017-10-02kkmrkkblmbrbkManual testing
4218726084891631721
60414490554718420355327
D7A79139C50E6E4C
2017-12-07ATHxps
4218726084891631721
60414490554718420355327
D7A79139C50E6E4C
2020-04-17Oliver KruseAddPrpType5
4218726084891631721
60414490554718420355327
4E578A6502EEE714
2024-02-03Wentao HuangManual testing
4218726084891631721
60414490554718420355327
4E578A6502EEE714


CERT results:
No CERT results for M57973


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)
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TF factor-bounds graph:
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.79 ~= 92-bit
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Last modified: 2024-02-12T05:29:48+00:00