is 2 3115153 - 1
has 937755 decimal digits
takes 0.265 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L80750ED5847DD128double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26819.133967.6471 %10000001199121000.92297.4854 %20.056870.0688 %
Target2641.142665.6250 %1400012000000.00971.5086 %1.152366.1436 %
Difference+4+17.9913+2.0221 %+986000+118712100+0.9132+5.9768%+18.9045+3.9252 %

Known prime factors (1 factor, 65.2 bits, 0.00209432% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3115153436105670967199593132065.2416999747218952
23 × 3 × 291656134123
2013-12-0882916561341232.34201,961.03,662.7

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2004-02-07ANONYMOUSv4_computers2048204800--0.0020.575%
2009-07-03Carsten Kossendeymother15000180000--0.0031.415%
2011-08-25Squeeky_SquirrelT7500_220010500021262506--0.0274.054%
2020-12-29JossManual testing31151531151536---5.029%
2022-02-09JossManual testing1000000119912100--1.13910.445%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-09foxkidv4_computers212600.025
2009-04-14S485122USB-A2602610.049
2011-11-24Grant McCrackenthumper2612620.099
2013-01-07dbaughManual testing2622630.315
2021-01-04JossManual testing263264
2021-01-12JossManual testing264265
2022-03-18LordJuliusManual testing266267
2021-06-25JossManual testing267268


ECM factoring results:
Total ECM effort:0.710 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
10.117
50000500000060.593


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06foxkidv4_computers80750ED5847DD1280.265


PRP results:
dateuseridcompidcofactorsres64
2017-10-30Oliver KruseGTX-0
43610567096719959313
D15D15583686193D
2017-12-11kkmrkkblmbrbkc4.xlarge
43610567096719959313
D15D15583686193D


CERT results:
No CERT results for M3115153


P-1 factor-bounds graph:
B1 = 1000000, B2 = 119912100 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 311515, B2 = 3115153 (P-1 stage 2)
B1 = 311515 (P-1 stage 1)
B1 = 105000, B2 = 2126250 (P-1 stage 2)
B1 = 105000 (P-1 stage 1)
B1 = 15000, B2 = 180000 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
268
267
265
264
263
262
261
260
this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
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260
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Last modified: 2024-03-03T02:29:32+00:00