is 2 1052111 - 1
has 316717 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LEC8C3097E3AFC4A6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26728.242268.6567 %300000100000000.03564.0912 %28.277869.9390 %
Target2600.146065.0000 %4500950000.00040.6336 %0.146465.2218 %
Difference+7+28.0962+3.6567 %+295500+9905000+0.0352+3.4576%+28.1314+4.7173 %

Known prime factors (1 factor, 65.1 bits, 0.00618625% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1052111391660717243322843772065.08618613089172308
22 × 3 × 1551090764359
2008-03-01415510907643596.93433,631.86,783.3

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-01-22Jossv4_computers10000115000--0.0011.621%
2016-03-17alpertronManual testing3000001000000012---8.155%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-04ANONYMOUSv4_computers212560.009
2001-11-14ANONYMOUSv4_computers212570.018
2003-03-27ANONYMOUSv4_computers212580.036
2022-04-12LordJuliusManual testing21261
2022-04-12LordJuliusManual testing261262
2022-04-12LordJuliusManual testing262263
2022-04-12LordJuliusManual testing263264


ECM factoring results:
Total ECM effort:17.517 GHz-days
Estimated T-Level:25.656
DigitsB1CompleteFacMiss
201100014.7690.000%
25500001.61619.866%
302500000.13187.697%
3510000000.00999.130%


ECM Summary

B1B2factorcurvesGHz-days
10.028
5000050000002809.79
25000025000000447.698


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-10-14ANONYMOUSv4_computersEC8C3097E3AFC4A60.031


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-1
39166071724332284377
DD4860AF9072F1C6
2017-10-16Oliver KruseThreadripper-PC
39166071724332284377
DD4860AF9072F1C6
2017-12-28ATHec2-1xh
39166071724332284377
DD4860AF9072F1C6


CERT results:
No CERT results for M1052111


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 10000, B2 = 115000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-02-29T14:28:04+00:00