is 2 108037 - 1
has 32523 decimal digits
takes 0.000 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L484D0CAB5393185Ddouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual267275.034674.6269 %10000000020000000000.655811.7903 %275.690477.6184 %
Target2440.000061.3636 %15001100000.00004.7567 %0.000063.2014 %
Difference+23+275.0346+13.2632 %+99998500+1999890000+0.6558+7.0336%+275.6904+14.4170 %

Known prime factors (1 factor, 101.1 bits, 0.09355026% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
108037265931888755234243743765653077731101.06912307445076928933779342524
22 × 31 × 53 × 541 × 137519 × 306253 × 82192091
2012-12-13306253821920911.341e+120.01540.0269

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-12-31ANONYMOUSv4_computers100000025000000--0.00727.520%
2002-06-02ANONYMOUSv4_computers327683276800--0.00119.105%
2002-07-20ANONYMOUSv4_computers65536655360012--0.00121.691%
2003-02-02ANONYMOUSv4_computers1310721310720030--0.00324.239%
2003-09-29ANONYMOUSv4_computers2621442621440012--0.00526.743%
2006-02-01Jossv4_computers20000002000000--0.00619.151%
2016-12-05kkmrkkblmbrbkManual testing100000000200000000012
skipped known factor: 2659318887552342437437656530777
---40.921%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-01ATHec2-P_150000000500000000027--1.097


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-09-14ANONYMOUSv4_computers2522530.006
2000-04-12ANONYMOUSv4_computers212540.022
2022-03-07LordJuliusManual testing254255
2000-12-14ANONYMOUSv4_computers212560.089
2002-05-05ANONYMOUSv4_computers212570.178
2022-03-07LordJuliusManual testing257258
2008-12-30Sturle Sundeaalto.ifi2582590.355
2009-01-05Sturle Sundepapageno.ifi2592600.711
2022-05-06LordJuliusManual testing260263


ECM factoring results:
Total ECM effort:10.870 GHz-days
Estimated T-Level:30.682
DigitsB1CompleteFacMiss
201100069.1640.000%
255000011.3610.001%
302500001.38824.960%
3510000000.13687.244%
4030000000.01198.876%


ECM Summary

B1B2factorcurvesGHz-days
10.002
500005000000220.047
250000250000005816.499
1000000100000000934.322


Lucas-Lehmer results:
No L-L results for M108037


PRP results:
dateuseridcompidcofactorsres64
2017-09-21Oliver KruseOllaptop
2659318887552342437437656530777
55B5907E487C00A0
2017-09-21Oliver KruseManual testing
2659318887552342437437656530777
55B5907E487C00A0
2017-10-13kkmrkkblmbrbkManual testing
2659318887552342437437656530777
55B5907E487C00A0
2020-04-17Oliver KruseAddPrpType5
2659318887552342437437656530777
20AB27D0B9E34C4C
2022-04-15LordJuliusWhitebox
2659318887552342437437656530777
20AB27D0B9E34C4C
2022-11-03LordJuliusWhitebox
2659318887552342437437656530777
20AB27D0B9E34C4C


CERT results:
dateuseridcompid
2022-11-03curtiscot014083


P-1 factor-bounds graph:
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 1000000, B2 = 25000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 262144, B2 = 26214400 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 262144 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
103
104
105
106
107
108
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
263
260
259
258
257
256
255
254
253
this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=30.68 ~= 85-bit
250
260
270
280
290
2100
2110
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Last modified: 2024-03-13T02:15:48+00:00