is 2 1102253 - 1
has 331812 decimal digits
takes 0.033 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE42A8E61B5E42A0Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26726.957468.6567 %300000100000000.03564.1159 %26.993069.9468 %
Target2600.139365.0000 %45001100000.00040.6841 %0.139865.2394 %
Difference+7+26.8181+3.6567 %+295500+9890000+0.0352+3.4318%+26.8533+4.7073 %

Known prime factors (1 factor, 70.1 bits, 0.00636143% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
110225312821102500561420784412270.119581586192124740
22 × 32 × 5 × 11 × 59 × 4978481357
2009-11-27594978481357216.7811.65721.772

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-02-17Jossv4_computers15000153750--0.0011.995%
2016-03-17alpertronManual testing3000001000000012---8.199%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-12-01ANONYMOUSv4_computers212570.017
2022-03-07firejugglerManual testing257260
2022-03-07LordJuliusManual testing257260
2022-04-12LordJuliusManual testing21261
2009-02-14Sturle Sundegoomba.ifi2602610.139
2022-04-12LordJuliusManual testing261262
2022-04-12LordJuliusManual testing262263
2022-04-12LordJuliusManual testing263264


ECM factoring results:
Total ECM effort:17.534 GHz-days
Estimated T-Level:25.655
DigitsB1CompleteFacMiss
201100014.7310.000%
25500001.61319.937%
302500000.13187.717%
3510000000.00999.131%


ECM Summary

B1B2factorcurvesGHz-days
10.056
5000050000002799.73
25000025000000447.746


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-04-14ANONYMOUSv4_computersE42A8E61B5E42A0A0.033


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-2
1282110250056142078441
E3B9B25F58FAA061
2017-10-19kkmrkkblmbrbkc4.xlarge
1282110250056142078441
E3B9B25F58FAA061


CERT results:
No CERT results for M1102253


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 15000, B2 = 153750 (P-1 stage 2)
B1 = 15000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
264
263
262
261
260
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
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Last modified: 2024-02-09T03:30:02+00:00