is 2 2263687 - 1
has 681438 decimal digits
takes 0.149 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD6AE1DFA592C60C6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26826.330967.6471 %1000000200000000.19405.3787 %26.524969.3872 %
Target2620.271464.5161 %120009500000.00601.7068 %0.277465.1218 %
Difference+6+26.0595+3.1309 %+988000+19050000+0.1880+3.6719%+26.2475+4.2655 %

Known prime factors (1 factor, 84.3 bits, 0.00372475% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2263687240889381747100725758323992684.3175320730775657162977
37 × 53 × 1479341 × 1834110077
2020-03-03147934118341100773,445,3849.66017.793

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2010-11-07JossManual testing1500015000--0.0010.583%
2010-11-12JossManual testing3000030000--0.0030.943%
2011-01-04markrtiny10000021000006--0.0204.790%
2014-09-02JossManual testing128354128354--0.0122.083%
2016-03-29JossManual testing34214434214406--0.0496.078%
2019-06-30BigBrotherWinston10000002000000012--0.1949.167%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.068
2009-01-11Sturle Sundegooch.ifi2602610.068
2012-05-05Sebastian HornbostelManual testing2612620.136
2013-12-06Jerry HallettManual testing2622630.434
2015-03-10VictordeHollanderManual testing2632652.518
2015-10-30ramgeisManual testing2652663.301
2017-01-15Gordon SpenceManual testing2662676.602
2019-05-06TJAOIManual testing26726813.20


ECM factoring results:
Total ECM effort:3.640 GHz-days
Estimated T-Level:20.783
DigitsB1CompleteFacMiss
20110001.69218.409%
25500000.15785.506%
302500000.01099.017%


ECM Summary

B1B2factorcurvesGHz-days
500005000000423.468
50000500000020.172


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-23ANONYMOUSv4_computersD6AE1DFA592C60C60.149


PRP results:
dateuseridcompidcofactorsres64
2020-03-04Christoph ZengerManual testing
24088938174710072575832399
FC5A980DD06EE8D1
2020-03-05fre_gamesgpu
24088938174710072575832399
FC5A980DD06EE8D1


CERT results:
No CERT results for M2263687


P-1 factor-bounds graph:
B1 = 1000000, B2 = 20000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 342144, B2 = 3421440 (P-1 stage 2)
B1 = 342144 (P-1 stage 1)
B1 = 100000, B2 = 2100000 (P-1 stage 2)
B1 = 128354 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
268
267
266
265
263
262
261
260
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=20.78 ~= 52-bit
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Last modified: 2024-03-13T02:15:48+00:00