is 2 1142159 - 1
has 343825 decimal digits
takes 0.034 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L10BE27F2F44F1E52double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26726.015668.6567 %1000000300000000.11095.8734 %26.126470.4976 %
Target2600.134565.0000 %50001300000.00050.7696 %0.135065.2693 %
Difference+7+25.8811+3.6567 %+995000+29870000+0.1104+5.1038%+25.9915+5.2283 %

Known prime factors (1 factor, 76.9 bits, 0.00673581% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
11421591443203344549542687446812476.93463178740637229260
22 × 5 × 2591 × 1219196075593
2015-02-172591121919607559313,3992,854.75,331.8

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-05-05Jossv4_computers10001000--4.30000e-50.038%
2002-05-05Jossv4_computers30003000--0.0000.165%
2002-05-05Jossv4_computers20002000--8.60000e-50.102%
2002-05-05Jossv4_computers40004000--0.0000.225%
2002-05-11Jossv4_computers50005000--0.0000.281%
2002-06-02ANONYMOUSv4_computers500001000000--0.0044.173%
2004-06-21ANONYMOUSv4_computers10000003000000012--0.11110.771%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-17ANONYMOUSv4_computers212570.017
2003-04-27ANONYMOUSv4_computers212580.034
2022-03-07LordJuliusManual testing258260
2009-03-08Sturle Sundeklughardt.ifi2602610.134
2012-08-27AxelssonManual testing2612620.269
2012-10-21dbaughManual testing2622630.859
2014-12-26Matthias WurtingerManual testing2632641.719
2015-01-12lycornManual testing2642653.271


ECM factoring results:
Total ECM effort:17.594 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002809.77
50000500000010.035
25000025000000447.785


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-06-29ANONYMOUSv4_computers10BE27F2F44F1E520.034


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-2
144320334454954268744681
04BE46D74818FECC
2017-10-17Oliver KruseThreadripper-PC
144320334454954268744681
04BE46D74818FECC
2018-01-06ATHec2-1xh
144320334454954268744681
04BE46D74818FECC


CERT results:
No CERT results for M1142159


P-1 factor-bounds graph:
B1 = 1000000, B2 = 30000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 50000 (P-1 stage 1)
B1 = 5000 (P-1 stage 1)
B1 = 4000 (P-1 stage 1)
B1 = 3000 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
265
264
263
262
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
280
JSON version of this page
Last modified: 2024-02-09T03:30:02+00:00