is 2 4292767 - 1
has 1292252 decimal digits
takes 0.535 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8F297088BF500DC3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual2676.921965.6716 %2240001110091501.13216.8945 %8.053968.0384 %
Target2651.699564.6154 %2400022500000.02631.9268 %1.725865.2972 %
Difference+2+5.2223+1.0563 %+200000+108759150+1.1058+4.9677%+6.3281+2.7412 %

Known prime factors (2 factors, 130.2 bits, 0.00303258% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
429276749235483560129975371962.094573470253104
24 × 7 × 41 × 124884637
2016-06-28411248846370.23741.23052.2982
42927673135084264715990936012168.08736515891320400
24 × 52 × 461 × 198025441
2009-12-0846119802544116.2961.95123.6442

1 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2009-08-07Carsten Kossendeymother25000337500--0.0081.799%
2023-03-09USAFSS6917th_Scty_Sq224000111009150--1.1958.316%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-04-15ANONYMOUSv4_computers212600.018
1998-07-29ANONYMOUSv4_computers212610.036
2022-06-21LordJuliusManual testing261262
2016-06-28TJAOIManual testing262263*
62.094
19
0.022


ECM factoring results:
Total ECM effort:0.355 GHz-days
DigitsB1CompleteFacMiss


ECM Summary

B1B2factorcurvesGHz-days
10.355


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-09-20ANONYMOUSv4_computers8F297088BF500DC30.535
2000-03-01ANONYMOUSv4_computers8F297088BF500DC30.535


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
313508426471599093601
4923548356012997537
5B0C0A73BBFDB685
2018-01-28Oliver KruseGTX-6
4923548356012997537
313508426471599093601
5B0C0A73BBFDB685


CERT results:
No CERT results for M4292767


P-1 factor-bounds graph:
B1 = 224000, B2 = 111009150 (P-1 stage 2)
B1 = 224000 (P-1 stage 1)
B1 = 25000, B2 = 337500 (P-1 stage 2)
B1 = 25000 (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:
262
261
260
this exponent TF target: 65
TF double-checked to: 67
250
260
270
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Last modified: 2024-03-13T02:15:48+00:00