is 2 8041399 - 1
has 2420703 decimal digits
takes 2.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L13AF1A32FA8C8B0Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26914.846566.6667 %500000150000000.48844.9957 %15.334968.3319 %
Target2673.695165.6716 %5500060000000.14352.5689 %3.838666.5535 %
Difference+2+11.1514+0.9950 %+445000+9000000+0.3450+2.4267%+11.4964+1.7784 %

Known prime factors (1 factor, 78.6 bits, 0.00097735% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
80413994558166671678015443936412478.59328341876032255180
22 × 5 × 3623 × 337189 × 1159997
2020-11-08337189115999713,9730.14460.2598

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-07-14Team Prime Ribv4_computers40000450000--0.0241.857%
2012-09-21NesowaEPC10000019500006--0.0763.221%
2020-11-08Dylan DelgadoManual testing500000150000001222478.5930.4886.042%


Trial Factoring results:
57585960616263646566676869
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-08-16ANONYMOUSv4_computers212610.019
1998-08-30ANONYMOUSv4_computers212620.038
1999-01-29ANONYMOUSv4_computers212630.122
2013-08-25David CampeauManual testing2632640.244
2013-12-24David CampeauManual testing2642650.465
2015-04-24snme2pm1Manual testing2652660.929
2015-11-19snme2pm1Manual testing2662671.859
2017-09-11Sid & AndyManual testing2672683.717
2020-01-31TJAOIManual testing2682697.434


ECM factoring results:
Total ECM effort:2.382 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000062.382


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-09-22ANONYMOUSv4_computers13AF1A32FA8C8B0F2.100
2002-07-27Team Prime Ribv4_computers13AF1A32FA8C8B0F2.100


PRP results:
dateuseridcompidcofactorsres64
2020-11-09mrhw
455816667167801544393641
043FC0F29143278A


CERT results:
dateuseridcompid
2020-11-09Ben Deloi-04a6053ccdb5b4df3


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 100000, B2 = 1950000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 40000, B2 = 450000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
269
268
267
266
265
264
263
262
261
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00