is 2 26357 - 1
has 7935 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
Actual2671,127.363477.6119 %5000000000151693027063578054,262.856832.9498 %55,390.220284.9888 %
Target2440.000165.9091 %500500000.00001.6928 %0.000166.4862 %
Difference+23+1,127.3633+11.7028 %+4999999500+1516930270585780+54,262.8568+31.2571%+55,390.2202+18.5026 %

Known prime factors (4 factors, 285.6 bits, 1.08367554% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26357435710012929611445.308826554640
24 × 5 × 10331933
1999-04-0216103319330.00030.00040.0007
26357385955057564243777719212375.031732168034230458280
23 × 3 × 5 × 7 × 13 × 2309 × 29037832301
2010-04-17230929037832301343,1041.03871.9399
263571592546138403433638375592477.0763021106610015240047
7 × 107777 × 4004441194073
2010-04-1710777740044411940731,585,342143.24267.53
263573578281106204310058068855532788.2096788103931032192696568
23 × 29 × 29259068668242209899
2009-05-1029292590686682422098993.937e+91.047e+91.955e+9

11 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2016-12-15kkmrkkblmbrbkManual testing5000000001000000000012
skipped known factor: 43571001292961
---42.698%
2023-03-12nordisweet16_30.9b350000000005000000000
skipped known factor: 43571001292961
--3.28337.692%
2023-04-06nordisweet16_30.8b1450000000001516930270635780
skipped known factor: 43571001292961
skipped known factor: 38595505756424377771921
skipped known factor: 159254613840343363837559
--85,55671.885%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-04-02ANONYMOUSv4_computers??
45.308
14


ECM factoring results:
Total ECM effort:22.931 GHz-days
Estimated T-Level:35.848
DigitsB1CompleteFacMiss
2011000224.2490.000%
255000050.7200.000%
302500009.1510.011%
3510000001.35625.778%
4030000000.17084.409%
45110000000.01998.160%
50440000000.00299.824%


ECM Summary

B1B2factorcurvesGHz-days
10.000
10.001
10.062
5000050000001410.061
2000002000000010.002
250000250000005821.372
10000001000000001551.464
300000030000000050014.17
30000003210000002005.797


Lucas-Lehmer results:
No L-L results for M26357


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KrusePRP
43571001292961
357828110620431005806885553
38595505756424377771921
159254613840343363837559
9C9A129D6104A0FC
2017-09-21Oliver KruseManual testing
43571001292961
357828110620431005806885553
38595505756424377771921
159254613840343363837559
9C9A129D6104A0FC
2017-10-02kkmrkkblmbrbkManual testing
43571001292961
38595505756424377771921
159254613840343363837559
357828110620431005806885553
9C9A129D6104A0FC
2017-12-07ATHManual testing
43571001292961
38595505756424377771921
159254613840343363837559
357828110620431005806885553
9C9A129D6104A0FC
2020-04-17Oliver KruseManual testing
43571001292961
38595505756424377771921
159254613840343363837559
357828110620431005806885553
0DDB24D98D9FB2B3


CERT results:
No CERT results for M26357


P-1 factor-bounds graph:
B1 = 5000000000, B2 = 1516930270635780 (P-1 stage 2)
B1 = 5000000000 (P-1 stage 1)
B1 = 500000000, B2 = 10000000000 (P-1 stage 2)
B1 = 500000000 (P-1 stage 1)
100
101
102
103
104
105
106
107
108
109
1010
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
TF factor-bounds graph:
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=35.85 ~= 102-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00