is 2 2950093 - 1
has 888067 decimal digits
takes 0.251 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L5AEDB3E2BE5E5A11double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26940.468868.1159 %1045446220000000.26995.1708 %40.738769.7646 %
Target2641.206565.6250 %1200010000000.00811.3466 %1.214666.0879 %
Difference+5+39.2623+2.4909 %+1033446+21000000+0.2618+3.8241%+39.5241+3.6767 %

Known prime factors (1 factor, 86.3 bits, 0.00292523% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2950093950529788913027222848001672686.29716110166508530870431
3 × 5370055502843623477
2021-08-02353700555028436234775,312,1963.611e+106.744e+10

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-12-13ANONYMOUSv4_computers2048204800--0.0020.566%
2003-12-23Team Prime Ribv4_computers1000010000--0.0010.312%
2010-11-03markrtiny9500019712506--0.0243.896%
2014-11-10JossManual testing116757116757--0.0141.601%
2015-01-26JossManual testing141275141275--0.0171.758%
2015-02-01JossManual testing188036188036--0.0232.010%
2015-02-02JossManual testing206839206839--0.0262.098%
2015-02-11JossManual testing366425366425--0.0452.672%
2015-02-15JossManual testing403067403067--0.0502.775%
2015-02-23JossManual testing443373443373--0.0552.880%
2015-02-27JossManual testing487710487710--0.0602.987%
2015-03-10JossManual testing536481536481--0.0663.096%
2015-03-14JossManual testing590129590129--0.0733.208%
2015-03-29JossManual testing714055714055--0.0883.436%
2015-04-08JossManual testing785460785460--0.0973.554%
2015-05-01JossManual testing950406950406--0.1173.795%
2015-05-02VictordeHollanderManual testing10000002000000012--0.2517.938%
2016-09-07JossManual testing10454462200000012--0.2708.095%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-05-09ANONYMOUSv4_computers212600.026
2009-02-14Sturle Sundebach.ifi2602610.052
2011-11-24markrManual testing2612620.104
2013-01-07dbaughManual testing2622630.333
2015-04-27VictordeHollanderManual testing2632640.666
2015-04-27VictordeHollanderManual testing2642651.267
2016-02-25ramgeisManual testing2652662.533
2017-11-28Gordon SpenceManual testing2662675.066
2018-12-24chuenkitManual testing26726810.13
2021-05-19TJAOIManual testing26826920.26


ECM factoring results:
Total ECM effort:10.446 GHz-days
Estimated T-Level:21.547
DigitsB1CompleteFacMiss
20110003.3463.522%
25500000.30973.381%
302500000.02098.064%


ECM Summary

B1B2factorcurvesGHz-days
500005000000748.844
50000675000070.935
50000675000050.668


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-06-06ANONYMOUSv4_computers5AEDB3E2BE5E5A110.251
2018-10-12kkmrkkblmbrbkold5AEDB3E2BE5E5A110.251


PRP results:
dateuseridcompidcofactorsres64
2021-08-04kutensryzen2
95052978891302722284800167
6B8C3C56B030A18E


CERT results:
dateuseridcompid
2021-08-04Ben Deloi-0ca40f23501f632ef


P-1 factor-bounds graph:
B1 = 1045446, B2 = 22000000 (P-1 stage 2)
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1045446 (P-1 stage 1)
B1 = 1000000 (P-1 stage 1)
B1 = 950406 (P-1 stage 1)
B1 = 785460 (P-1 stage 1)
B1 = 714055 (P-1 stage 1)
B1 = 590129 (P-1 stage 1)
B1 = 536481 (P-1 stage 1)
B1 = 487710 (P-1 stage 1)
B1 = 443373 (P-1 stage 1)
B1 = 403067 (P-1 stage 1)
B1 = 366425 (P-1 stage 1)
B1 = 206839 (P-1 stage 1)
B1 = 95000, B2 = 1971250 (P-1 stage 2)
B1 = 188036 (P-1 stage 1)
B1 = 141275 (P-1 stage 1)
B1 = 116757 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 64
TF double-checked to: 67
ECM T-Level=21.55 ~= 55-bit
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Last modified: 2024-02-09T03:30:02+00:00