is 2 1291453 - 1
has 388767 decimal digits
takes 0.041 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5796FE8E882E7D35double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26723.008168.6567 %1190000345100000.13816.2080 %23.146270.6025 %
Target2600.118965.0000 %55001800000.00070.9335 %0.119665.3267 %
Difference+7+22.8892+3.6567 %+1184500+34330000+0.1374+5.2745%+23.0266+5.2758 %

Known prime factors (1 factor, 68.0 bits, 0.00526584% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
12914532963462698671609483532168.006114733664278592
26 × 53 × 61 × 554504641
2013-12-316455450464146.1531.38842.5931

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-02-24ANONYMOUSv4_computers204820480012--0.0011.002%
2013-11-15David Campeaui5-2500k11900003451000012--0.13811.243%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-07-27ANONYMOUSv4_computers212560.007
2001-11-03ANONYMOUSv4_computers212570.015
2003-06-09ANONYMOUSv4_computers212580.030
2003-06-17ANONYMOUSv4_computers212580.030
2022-03-07LordJuliusManual testing258260
2009-02-16Sturle Sundeeberlin.ifi2602610.119
2011-05-09XyzzyManual testing2612620.238
2013-01-03dbaughManual testing2622630.760


ECM factoring results:
Total ECM effort:20.636 GHz-days
Estimated T-Level:25.664
DigitsB1CompleteFacMiss
201100013.2740.000%
25500001.52321.798%
302500000.13387.567%
3510000000.00999.058%


ECM Summary

B1B2factorcurvesGHz-days
11.388
5000050000002148.113
50000800000010.047
250000350000005011.09


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-09-14ANONYMOUSv4_computers5796FE8E882E7D350.041


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-0
296346269867160948353
791E58784ADF21F9
2017-10-22kkmrkkblmbrbkc4.xlarge
296346269867160948353
791E58784ADF21F9


CERT results:
No CERT results for M1291453


P-1 factor-bounds graph:
B1 = 1190000, B2 = 34510000 (P-1 stage 2)
B1 = 1190000 (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
107
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
263
262
261
260
258
257
256
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
250
260
270
JSON version of this page
Last modified: 2024-03-03T02:29:32+00:00