is 2 36523 - 1
has 10995 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
Actual267813.567376.1194%5000000000519909300810902,708.474528.5346%3,522.041882.9336%
Target2440.000163.6364%500100000.00001.8628%0.000164.3137%
Difference+23+813.5672+12.4830%+4999999500+51990930071090+2,708.4745+26.6718%+3,522.0417+18.6199%

Known prime factors (7 factors, 439.1 bits, 1.20216137% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3652312499631531030.21917112
23 × 3 × 23 × 31
-23316.673e-92.237e-84.468e-8
36523591099919371135.783809216
28 × 29 × 109
2008-08-262562561.448e-72.444e-74.973e-7
36523334069683777371444.925457341516
22 × 32 × 977 × 13003
2008-08-26977130030.00011.558e-61.898e-6
365238135962355796071549.53111138135361
3 × 17 × 107 × 313 × 6521
2008-08-2631365210.00376.217e-76.334e-7
365234209325327642318721272168.5125762567871809981
5762567871809981
2010-04-27157625678718099812,177.9299,702559,759
36523158220495610560359768517554172993.676216603914807874982570596
22 × 33 × 131 × 3409141 × 4490826603397
2010-05-27340914144908266033976.534e+10233.56436.23
3652311106447831917981225724264000423926336116.4191520473103512578543072072940397
17 × 103 × 251 × 11807 × 302413907 × 968896868453
2019-09-173024139079688968684535.074e+1250.66494.116

120 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-10-28kkmrkkblmbrbkManual testing200000000500000000012-
skipped known factor: 1249963153
skipped known factor: 59109991937
skipped known factor: 33406968377737
skipped known factor: 813596235579607
--0.441--12.495%
2021-08-27Seth_TrManual testing100000000010000000000012-
skipped known factor: 1249963153
skipped known factor: 59109991937
skipped known factor: 33406968377737
skipped known factor: 813596235579607
--6.103--17.847%
2021-12-15Seth_TrManual testing5000000000949756017210-
skipped known factor: 1249963153
skipped known factor: 59109991937
skipped known factor: 33406968377737
skipped known factor: 813596235579607
--53.91--22.193%
2021-12-15Seth_TrManual testing500000000051990930081090-
skipped known factor: 1249963153
skipped known factor: 59109991937
skipped known factor: 33406968377737
skipped known factor: 813596235579607
skipped known factor: 15822049561056035976851755417
skipped known factor: 111064478319179812257242640004239263
--2,708--28.535%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-05-11ATHec2-P_11000000001000000000027--0.705


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-08-26ANONYMOUSManual testing??44.925144.30007e-54.90600e-58.77387e-5
2008-08-26ANONYMOUSManual testing??35.783111.94231e-80.0009.12633e-8
2008-08-26ANONYMOUSManual testing??49.531150.0024.90600e-50.003


ECM factoring results:
Total ECM effort:31.055 GHz-days
Estimated T-Level:35.772
DigitsB1CompleteFacMiss
2011000263.5750.000%
255000055.5300.000%
302500009.3310.009%
3510000001.30527.125%
4030000000.15485.690%
45110000000.01698.408%
50440000000.00199.854%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
10.00000e+0
5000050000002710.186
250000250000005811.995
10000001000000005998.228
100000010000000030.041
300000030000000050020.60


Lucas-Lehmer results:
No L-L results for M36523


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-21Oliver KruseOllaptop9CE3F2AFBC003F__?
2017-09-21Oliver KruseManual testing9CE3F2AFBC003F__?
2017-10-02kkmrkkblmbrbkManual testing
1249963153
59109991937
33406968377737
813596235579607
420932532764231872127
15822049561056035976851755417
9CE3F2AFBC003F__no
2017-12-07ATHxps
1249963153
59109991937
33406968377737
813596235579607
420932532764231872127
15822049561056035976851755417
9CE3F2AFBC003F__no
2019-09-18mnd9office
1249963153
59109991937
33406968377737
813596235579607
420932532764231872127
15822049561056035976851755417
111064478319179812257242640004239263
E9376610A58C38A0no
2019-09-19marssystemssystem11
1249963153
59109991937
33406968377737
813596235579607
420932532764231872127
15822049561056035976851755417
111064478319179812257242640004239263
E9376610A58C38A0no


P-1 factor-bounds graph:
B1 = 5000000000, B2 = 51990930081090 (P-1 stage 2)
B1 = 5000000000, B2 = 949756017210 (P-1 stage 2)
B1 = 1000000000, B2 = 100000000000 (P-1 stage 2)
B1 = 5000000000 (P-1 stage 1)
B1 = 1000000000 (P-1 stage 1)
B1 = 200000000, B2 = 5000000000 (P-1 stage 2)
B1 = 200000000 (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
TF factor-bounds graph:
2
this exponent TF target: 44
TF double-checked to: 67.7
ECM T-Level=35.77 ~= 102-bit
250
260
270
280
290
2100
2110
2120
Last modified: 2023-03-23T17:39:31+00:00