is 2 2143313 - 1
has 645202 decimal digits
takes 0.141 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LBE05CFDF4C3804EFdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26713.863567.1642 %500000150000000.12305.1658 %13.986568.8604 %
Target2620.286664.5161 %100007500000.00481.4880 %0.291465.0441 %
Difference+5+13.5769+2.6481 %+490000+14250000+0.1182+3.6778%+13.6951+3.8163 %

Known prime factors (1 factor, 61.0 bits, 0.00284661% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
214331323247411686116269431961.012542324235567
3 × 180774745189
2009-01-0631807747451890.1433938.991,753.8

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2003-03-07ANONYMOUSv4_computers204820480012--0.0010.774%
2016-03-16alpertronManual testing5000001500000012---8.247%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1999-01-29dswansonv4_computers212580.018
2022-03-09LordJuliusManual testing21260
2009-01-05Sturle Sundefoster.ifi2602610.072


ECM factoring results:
Total ECM effort:21.414 GHz-days
Estimated T-Level:21.984
DigitsB1CompleteFacMiss
20110004.1621.558%
25500000.39767.245%
302500000.02697.480%
3510000000.00199.878%


ECM Summary

B1B2factorcurvesGHz-days
10.187
50000500000030.263
50000594161170.643
50000652029170.672
50000675000070.683
50000700000080.794
500002702353571.720
56694389147855016.45


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07dswansonv4_computersBE05CFDF4C3804EF0.141


PRP results:
dateuseridcompidcofactorsres64
2017-10-08Oliver KruseGTX-2
2324741168611626943
62F27EBB38021DAB
2017-11-18kkmrkkblmbrbkc4.xlarge
2324741168611626943
62F27EBB38021DAB


CERT results:
No CERT results for M2143313


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)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
1010
1011
1012
TF factor-bounds graph:
261
260
258
this exponent TF target: 62
TF double-checked to: 67
ECM T-Level=21.98 ~= 56-bit
250
260
270
JSON version of this page
Last modified: 2024-02-29T14:28:04+00:00