is 2 59743 - 1
has 17985 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
Actual267497.362376.1194 %58000000026154677232684024,508.602329.4166 %25,005.964683.1443 %
Target2440.000063.6364 %500500000.00002.1465 %0.000064.4169 %
Difference+23+497.3623+12.4830 %+579999500+261546772276840+24,508.6023+27.2702%+25,005.9645+18.7274 %

Known prime factors (3 factors, 87.7 bits, 0.14677863% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
597439678367723.20681
34
-81811.871e-111.393e-72.835e-7
59743544378217929.0204556
22 × 17 × 67
2008-08-2617671.197e-93.392e-85.950e-8
59743473809784411135.464396540
22 × 32 × 5 × 2203
2008-08-26922037.662e-82.211e-73.853e-7

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-10-10kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 9678367
skipped known factor: 544378217
skipped known factor: 47380978441
---39.822%
2023-05-15JacobZPM1Server580000000261546772326840
skipped known factor: 9678367
skipped known factor: 544378217
skipped known factor: 47380978441
--30,99569.022%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-07ATHcolab-Pp215000000150000000027--0.176


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-08-26ANONYMOUSManual testing??29.0209
2008-08-26ANONYMOUSManual testing??35.46411


ECM factoring results:
Total ECM effort:73.647 GHz-days
Estimated T-Level:32.586
DigitsB1CompleteFacMiss
2011000162.0230.000%
255000030.4750.000%
302500004.3691.266%
3510000000.51759.619%
4030000000.05194.983%
45110000000.00499.561%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002810.329
250000250000005853.619
100000010000000035710.10
100000033080597555014.15
1000000375000000010.393
1000000375000000010.393
1000000375000000010.393
1693156521755500503.514
185644430717195045013.91
211513364245669465027.63


Lucas-Lehmer results:
No L-L results for M59743


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOliver-PC
9678367
544378217
47380978441
497FB15D951729BA
2017-09-21Oliver KruseManual testing
9678367
544378217
47380978441
497FB15D951729BA
2017-10-13kkmrkkblmbrbkManual testing
9678367
544378217
47380978441
497FB15D951729BA
2020-04-17Oliver KruseAddPrpType5
9678367
544378217
47380978441
A6155F0D2B1A50C7
2024-02-03Wentao HuangManual testing
9678367
544378217
47380978441
A6155F0D2B1A50C7


CERT results:
No CERT results for M59743


P-1 factor-bounds graph:
B1 = 580000000, B2 = 261546772326840 (P-1 stage 2)
B1 = 580000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
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109
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TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=32.59 ~= 92-bit
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Last modified: 2024-02-09T03:30:02+00:00