is 2 2702509 - 1
has 813537 decimal digits
takes 0.209 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.994967.1642 %2720002373247801.47697.4511 %12.471869.6108 %
Target2630.590665.0794 %1400011000000.00821.6616 %0.598865.6596 %
Difference+4+10.4044+2.0848 %+258000+236224780+1.4687+5.7896%+11.8731+3.9512 %

Known prime factors (3 factors, 125.9 bits, 0.00465960% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2702509145935487927.12127
33
-27276.655e-123.024e-66.154e-6
2702509128423227691133.5802376
23 × 33 × 11
2008-09-0727276.412e-103.024e-66.154e-6
2702509431233120515459064092065.2257978384540356
22 × 3 × 17 × 941 × 41561879
2018-04-12941415618794.58850.25370.4736

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-09-12USAFSS6917th_Scty_Sq272000237324780
skipped known factor: 145935487
skipped known factor: 12842322769
skipped known factor: 43123312051545906409
--1.62710.637%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2008-09-07Will EdgingtonManual testing??
33.580
11


ECM factoring results:
Total ECM effort:0.202 GHz-days
Estimated T-Level:0.385
DigitsB1CompleteFacMiss
20110000.07792.596%
25500000.00799.291%


ECM Summary

B1B2factorcurvesGHz-days
50000500000020.202


Lucas-Lehmer results:
No L-L results for M2702509


PRP results:
dateuseridcompidcofactorsres64
2017-10-19Oliver KruseGTX-2
145935487
12842322769
98B34B694946227E
2017-12-04ATHec2-1xh
145935487
12842322769
98B34B694946227E
2018-04-12ATHec2-PRPCF
145935487
12842322769
43123312051545906409
98B34B694946227E


CERT results:
No CERT results for M2702509


P-1 factor-bounds graph:
B1 = 272000, B2 = 237324780 (P-1 stage 2)
B1 = 272000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=0.38 ~= -15-bit
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00