is 2 2701459 - 1
has 813221 decimal digits
takes 0.209 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L9090B88D2AFF41E8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26944.193568.1159 %1565197547819040.50006.2643 %44.693570.1133 %
Target2630.590865.0794 %1400011000000.00821.6614 %0.599065.6596 %
Difference+6+43.6027+3.0366 %+1551197+53681904+0.4918+4.6029%+44.0945+4.4537 %

Known prime factors (1 factor, 80.1 bits, 0.00296672% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
270145913365468218607213172392072580.145247374996596417217
3 × 11 × 7496212018073249
2021-12-0511749621201807324990,64245,739,28385,428,243

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-08ANONYMOUSv4_computers2048204800--0.0010.675%
2003-11-28Team Prime Ribv4_computers15000217500--0.0031.689%
2010-12-16JossManual testing2000020000--0.0020.633%
2010-12-26JossManual testing3000030000--0.0040.836%
2011-01-16JossManual testing5000050000--0.0061.146%
2011-03-16James HeinrichWHS300000800000012--0.0816.576%
2018-07-21JossManual testing60000060000006--0.1106.617%
2021-01-13GdSManual testing15651975478190412--0.50010.347%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.057
2009-01-30Sturle Sundeghini.ifi2602610.057
2012-05-02Grant McCrackenthumper2612620.114
2013-01-14dbaughManual testing2622630.363
2015-04-13VictordeHollanderManual testing2632640.727
2015-04-13VictordeHollanderManual testing2642651.383
2016-01-28ramgeisManual testing2652662.766
2017-09-29Gordon SpenceManual testing2662675.532
2019-02-11chuenkitManual testing26726811.06
2021-06-21TJAOIManual testing26826922.13


ECM factoring results:
Total ECM effort:12.093 GHz-days
Estimated T-Level:22.091
DigitsB1CompleteFacMiss
20110004.5221.086%
25500000.41865.818%
302500000.02697.395%
3510000000.00199.877%


ECM Summary

B1B2factorcurvesGHz-days
50000500000010710.96
50000500000030.303
50000663346970.827


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-04-13JMGarciav4_computers9090B88D2AFF41E80.209
2004-07-02JMGarciav4_computers9090B88D2AFF41E80.209
2018-07-31kkmrkkblmbrbkold9090B88D2AFF41E80.203


PRP results:
dateuseridcompidcofactorsres64
2021-12-10LaurVZero818
1336546821860721317239207
313A8D2BA9498086


CERT results:
dateuseridcompid
2021-12-10Keith Outwatercygnus


P-1 factor-bounds graph:
B1 = 1565197, B2 = 54781904 (P-1 stage 2)
B1 = 1565197 (P-1 stage 1)
B1 = 600000, B2 = 6000000 (P-1 stage 2)
B1 = 300000, B2 = 8000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 300000 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=22.09 ~= 57-bit
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Last modified: 2024-02-29T14:28:04+00:00