is 2 308773 - 1
has 92950 decimal digits
takes 0.002 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L1BEF992FFE5706F5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual268193.037972.0588 %10000000003608720772657020,282.740728.1512 %20,475.778579.9246 %
Target2440.000056.8182 %55007500000.000511.4395 %0.000561.7580 %
Difference+24+193.0378+15.2406 %+999994500+36087206976570+20,282.7402+16.7117%+20,475.7781+18.1666 %

Known prime factors:
No known factors for M308773

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-06-30ANONYMOUSv4_computers110001100000--0.00116.928%
2001-10-13ANONYMOUSv4_computers500001000000--0.00118.557%
2002-06-09ANONYMOUSv4_computers32768327680012--0.00221.146%
2002-08-10ANONYMOUSv4_computers65536655360012--0.00423.774%
2003-03-27ANONYMOUSv4_computers1310721310720030--0.00926.354%
2006-01-15Jossv4_computers308773308773--0.00315.187%
2008-11-17GrunwalderGIMPGWPrime02200000020000000012--0.12035.935%
2012-08-22alpertronManual testing1000000020000000012--0.21036.225%
2012-10-31alpertronManual testing100000000200000000012--2.09842.817%
2022-09-27Oliver Kruse5950X100000000036087207726570--27,65168.204%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2022-12-24masserManual testing2000000062000000027--0.631
2022-12-26masserManual testing2000000062000000019611--0.631
2022-12-31masserManual testing2000000062000000065--0.631


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2000-04-12ANONYMOUSv4_computers212540.008
2022-03-07LordJuliusManual testing254255
2001-03-05ANONYMOUSv4_computers212560.031
2002-02-24ANONYMOUSv4_computers212570.062
2004-02-07ANONYMOUSv4_computers212580.124
2008-12-31Sturle Sundegassmann.ifi2582590.124
2009-01-24Sturle Sundegicy.ifi2592600.249
2012-04-25David CampeauManual testing2602610.497
2015-07-19NRManual testing2612620.995
2015-12-20Gordon SpenceManual testing2622649.54
2018-01-18Gordon SpenceManual testing26426512.10
2019-11-22Gordon SpenceManual testing26526624.20
2021-02-08YxinityManual testing26626748.40
2022-06-09Gordon SpenceManual testing26726896.81


ECM factoring results:
Total ECM effort:23.889 GHz-days
Estimated T-Level:29.879
DigitsB1CompleteFacMiss
201100064.3110.000%
25500009.2750.009%
302500000.97637.690%
3510000000.08092.293%
4030000000.00599.465%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002871.939
2500002500000058621.95


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2001-12-08ANONYMOUSv4_computers1BEF992FFE5706F50.002


PRP results:
No PRP results for M308773


CERT results:
No CERT results for M308773


P-1 factor-bounds graph:
B1 = 1000000000, B2 = 36087207726570 (P-1 stage 2)
B1 = 1000000000 (P-1 stage 1)
B1 = 100000000, B2 = 2000000000 (P-1 stage 2)
B1 = 100000000 (P-1 stage 1)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 2000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 308773 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 11000, B2 = 1100000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
B1 = 11000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 44
TF double-checked to: 67
ECM T-Level=29.88 ~= 83-bit
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Last modified: 2024-03-13T02:15:48+00:00