is 2 15153353 - 1
has 4561614 decimal digits
takes 7.600 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L3397F65476109E2Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual273126.232467.1233 %1023000156278850062.62228.0813 %188.854669.7802 %
Target2697.878665.2174 %100000130000000.58382.9978 %8.462466.2601 %
Difference+4+118.3538+1.9059 %+923000+1549788500+62.0383+5.0835%+180.3922+3.5200 %

Known prime factors:
No known factors for M15153353

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-03-16Dan Schererv4_computers1800003510000--0.2633.530%
2023-12-05Stef42z8g410230001562788500--62.6211.098%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-11-22ATHec2-P_110000002900000027--2.193


Trial Factoring results:
5758596061626364656667686970717273
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-12-31Net_Forcev4_computers212570.001
2000-12-31Net_Forcev4_computers212580.003
2001-01-21ANONYMOUSv4_computers212640.130
2001-01-28ANONYMOUSv4_computers212650.247
2016-03-16Mark RoseManual testing265266
2014-05-14NesowaManual testing2662670.986
2017-12-24ramgeisManual testing2672681.973
2017-12-24ramgeisManual testing2682693.945
2021-06-30lycornManual testing2692707.890
2021-09-03SRBaseManual testing27027115.78
2021-10-10ANONYMOUSManual testing27127231.56
2023-07-05Sid & AndyManual testing27227363.12


ECM factoring results:
Total ECM effort:0.728 GHz-days
Estimated T-Level:0.192
DigitsB1CompleteFacMiss
20110000.03896.227%
25500000.00499.645%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010.728


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-07Dan Schererv4_computers3397F65476109E2E7.600
2006-03-01ANONYMOUSv4_computers560285A13B4691747.600
2006-11-28willmorev4_computers3397F65476109E2E7.600


PRP results:
No PRP results for M15153353


CERT results:
No CERT results for M15153353


P-1 factor-bounds graph:
B1 = 1023000, B2 = 1562788500 (P-1 stage 2)
B1 = 1023000 (P-1 stage 1)
B1 = 180000, B2 = 3510000 (P-1 stage 2)
B1 = 180000 (P-1 stage 1)
104
105
106
107
104
105
106
107
108
109
1010
TF factor-bounds graph:
273
272
271
270
269
268
267
266
265
264
258
257
this exponent TF target: 69
TF double-checked to: 67
ECM T-Level=0.19 ~= -16-bit
250
260
270
280
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Last modified: 2024-02-09T03:30:02+00:00