is 2 4167763 - 1
has 1254622 decimal digits
takes 0.520 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
Actual2677.129567.1642 %2000001081852201.10026.7230 %8.229669.3717 %
Target2651.750566.1538 %2200022500000.02591.8722 %1.776466.7875 %
Difference+2+5.3790+1.0103 %+178000+105935220+1.0742+4.8508%+6.4532+2.5842 %

Known prime factors (3 factors, 188.9 bits, 0.00453236% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
416776341677631825.3135
5
-151.074e-122.203e-73.681e-7
416776358378174233038417271962.340700353813701
20107 × 34831343
2016-07-2720107348313430.28100.34660.6410
4167763300486277755620581859136792400131101.245360488681524861876574000
24 × 53 × 7 × 83 × 283 × 373 × 479 × 16829 × 364583
2022-11-14168293645834.527e+100.00650.0067

4 Composite Factors:
P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2022-11-14USAFSSUSAFSACS200000108185220231101.2451.1618.127%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-07-27TJAOIManual testing262263*
62.340
19
0.080


ECM factoring results:
Total ECM effort:0.575 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.575


Lucas-Lehmer results:
No L-L results for M4167763


PRP results:
dateuseridcompidcofactorsres64
2017-09-20kkmrkkblmbrbkManual testing
41677631
5837817423303841727
28CEFD43C8256B18
2018-01-14ATHec2-1xh
41677631
5837817423303841727
28CEFD43C8256B18
2022-11-21Naegi Makotoi5_T
41677631
5837817423303841727
3004862777556205818591367924001
CA3E5FD81EA8FC6E


CERT results:
dateuseridcompid
2022-11-21PCanalytics.commeshify2


P-1 factor-bounds graph:
B1 = 200000, B2 = 108185220 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
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109
TF factor-bounds graph:
this exponent TF target: 65
TF double-checked to: 67
ECM T-Level=0.58 ~= -15-bit
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JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00