is 2 2693213 - 1
has 810738 decimal digits
takes 0.208 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8FD9F3A4BA0900C3double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26822.131567.6471 %2000000500000000.51696.8696 %22.648469.8696 %
Target2630.592665.0794 %1400011000000.00821.6605 %0.600865.6592 %
Difference+5+21.5389+2.5677 %+1986000+48900000+0.5087+5.2091%+22.0476+4.2104 %

Known prime factors (1 factor, 68.8 bits, 0.00255352% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
26932135039177273764169170092168.77293553262845608
23 × 3 × 31 × 125743632857
2021-06-023112574363285722.132767.241,433.0

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-08ANONYMOUSv4_computers2048204800--0.0010.675%
2003-11-28Team Prime Ribv4_computers15000217500--0.0031.689%
2010-12-22JossManual testing2000020000--0.0020.632%
2010-12-26JossManual testing3000030000--0.0040.835%
2011-01-31markrtiny10500023100006--0.0284.517%
2016-07-16JossManual testing16750046200006--0.0515.538%
2016-12-20JossManual testing201000201000---2.311%
2017-04-22JossManual testing33500033500006--0.0625.586%
2018-07-16JossManual testing67000067000006--0.1236.817%
2019-11-14masserManual testing20000005000000012--0.57010.354%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-04-13ANONYMOUSv4_computers212590.014
2016-02-23Mark RoseManual testing2592600.029
2009-01-31Sturle Sundegnom.ifi2602610.057
2012-05-03markroldgamer2612620.114
2013-01-10dbaughManual testing2622630.364
2015-02-23VictordeHollanderManual testing2632640.729
2015-02-23VictordeHollanderManual testing2642651.387
2016-01-27ramgeisManual testing2652662.775
2017-09-15Gordon SpenceManual testing2662675.549
2019-03-25TJAOIManual testing26726811.10


ECM factoring results:
Total ECM effort:10.452 GHz-days
Estimated T-Level:21.851
DigitsB1CompleteFacMiss
20110004.0001.832%
25500000.37069.066%
302500000.02397.693%
3510000000.00199.891%


ECM Summary

B1B2factorcurvesGHz-days
500005000000989.83
50000500000060.621


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-12-08ANONYMOUSv4_computers8FD9F3A4BA0900C30.208
2018-07-29kkmrkkblmbrbkold8FD9F3A4BA0900C30.203


PRP results:
dateuseridcompidcofactorsres64
2021-06-03happy5214Focus
503917727376416917009
65293B998C720008


CERT results:
dateuseridcompid
2021-06-03/r/counting


P-1 factor-bounds graph:
B1 = 2000000, B2 = 50000000 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 670000, B2 = 6700000 (P-1 stage 2)
B1 = 670000 (P-1 stage 1)
B1 = 335000, B2 = 3350000 (P-1 stage 2)
B1 = 167500, B2 = 4620000 (P-1 stage 2)
B1 = 335000 (P-1 stage 1)
B1 = 105000, B2 = 2310000 (P-1 stage 2)
B1 = 201000 (P-1 stage 1)
B1 = 167500 (P-1 stage 1)
B1 = 105000 (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)
100
101
102
103
104
105
106
107
100
101
102
103
104
105
106
107
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109
1010
1011
1012
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
259
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.85 ~= 56-bit
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Last modified: 2024-02-09T03:30:02+00:00