is 2 2823167 - 1
has 849858 decimal digits
takes 0.218 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LE27054C21606F2D1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26942.288368.1159 %50000002000000001.74988.4875 %44.038070.8221 %
Target2630.565365.0794 %1600013000000.00961.8257 %0.575065.7169 %
Difference+6+41.7229+3.0366 %+4984000+198700000+1.7402+6.6618%+43.4631+5.1052 %

Known prime factors (1 factor, 81.7 bits, 0.00289216% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
282316737950458632633499058631192581.650672125641746193177
1713977 × 392143909601
2021-07-311713977392143909601173,4692,392.94,468.9

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-11-28ANONYMOUSv4_computers2048204800--0.0010.683%
2016-09-17JossManual testing12000033000006--0.0364.987%
2016-09-21JossManual testing1200003630000--0.0385.083%
2016-09-22JossManual testing1200003993000--0.0415.179%
2017-03-02JossManual testing30612430612406--0.0565.466%
2018-02-20JossManual testing403348403348---3.092%
2018-03-16JossManual testing28231673061240--0.3505.948%
2018-03-16JossManual testing282316761224806--0.3717.115%
2019-11-10masserManual testing30000003000000012--0.5529.772%
2020-01-19masserManual testing500000020000000012--1.92813.170%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2016-02-23Mark RoseManual testing212600.054
2009-02-13Sturle Sundefoster.ifi2602610.054
2012-02-17Grant McCrackenthumper2612620.109
2013-01-10dbaughManual testing2622630.348
2015-04-21VictordeHollanderManual testing2632640.695
2015-04-21VictordeHollanderManual testing2642651.323
2016-02-13ramgeisManual testing2652662.647
2017-10-28Gordon SpenceManual testing2662675.294
2019-01-02chuenkitManual testing26726810.59
2021-05-13TJAOIManual testing26826921.18


ECM factoring results:
Total ECM effort:10.257 GHz-days
Estimated T-Level:21.782
DigitsB1CompleteFacMiss
20110003.8532.123%
25500000.35670.024%
302500000.02397.774%
3510000000.00199.895%


ECM Summary

B1B2factorcurvesGHz-days
500005000000797.992
50000500000060.626
500006750000141.639


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-02ANONYMOUSv4_computersE27054C21606F2D10.218
2018-09-07kkmrkkblmbrbkoldE27054C21606F2D10.212


PRP results:
dateuseridcompidcofactorsres64
2021-08-01/r/counting
3795045863263349905863119
B4F9D7D86206BDC0


CERT results:
dateuseridcompid
2021-08-01curtiscjckl330507l


P-1 factor-bounds graph:
B1 = 5000000, B2 = 200000000 (P-1 stage 2)
B1 = 5000000 (P-1 stage 1)
B1 = 3000000, B2 = 30000000 (P-1 stage 2)
B1 = 2823167, B2 = 6122480 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2823167, B2 = 3061240 (P-1 stage 2)
B1 = 2823167 (P-1 stage 1)
B1 = 306124, B2 = 3061240 (P-1 stage 2)
B1 = 403348 (P-1 stage 1)
B1 = 120000, B2 = 3993000 (P-1 stage 2)
B1 = 120000, B2 = 3630000 (P-1 stage 2)
B1 = 306124 (P-1 stage 1)
B1 = 120000, B2 = 3300000 (P-1 stage 2)
B1 = 120000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
260
this exponent TF target: 63
TF double-checked to: 67
ECM T-Level=21.78 ~= 56-bit
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Last modified: 2024-02-09T03:30:02+00:00