is 2 2346269 - 1
has 706298 decimal digits
takes 0.159 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD23A28A4C1B1A3B7double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26712.664367.1642 %500000150000000.12645.2222 %12.790768.8789 %
Target2620.261864.5161 %1300011000000.00711.8350 %0.268965.1672 %
Difference+5+12.4025+2.6481 %+487000+13900000+0.1193+3.3873%+12.5218+3.7117 %

Known prime factors (1 factor, 85.0 bits, 0.00362116% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2346269376820451686486003599729612684.9628030205651749351920
24 × 5 × 194917 × 349753 × 1472399
2010-03-0234975314723992,811,9630.04030.0697

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-09-21ANONYMOUSv4_computers2048204800--0.0010.793%
2010-03-02Budannan2684.9620.1020.000%
2018-03-18alpertronManual testing5000001500000012
skipped known factor: 37682045168648600359972961
---8.330%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1997-12-13ANONYMOUSv4_computers212580.016
2022-03-09LordJuliusManual testing21260
2009-01-16Sturle Sundebuxtehude.ifi2602610.065


ECM factoring results:
Total ECM effort:6.322 GHz-days
Estimated T-Level:21.216
DigitsB1CompleteFacMiss
20110002.6067.385%
25500000.24378.408%
302500000.01598.466%


ECM Summary

B1B2factorcurvesGHz-days
50000500000060.395
500007000000505.176
50000712839670.751


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1997-12-30ANONYMOUSv4_computersD23A28A4C1B1A3B70.159
1999-03-01ANONYMOUSv4_computersD23A28A4C1B1A3B70.159
1999-05-16ANONYMOUSv4_computersD23A28A4C1B1A3B70.159


PRP results:
dateuseridcompidcofactorsres64
2017-10-12Oliver KruseGTX-0
37682045168648600359972961
B8E89C4FDDDB5460
2017-11-24kkmrkkblmbrbkc4.xlarge
37682045168648600359972961
B8E89C4FDDDB5460


CERT results:
No CERT results for M2346269


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
108
TF factor-bounds graph:
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.22 ~= 54-bit
250
260
270
280
290
JSON version of this page
Last modified: 2024-03-13T02:15:48+00:00