is 2 1073647 - 1
has 323200 decimal digits
takes 0.032 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L31F2EC8C6F91111Edouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual271445.284470.4225 %2500000625000000.24795.0936 %445.532471.9291 %
Target2600.143165.0000 %45001000000.00040.6517 %0.143565.2281 %
Difference+11+445.1414+5.4225 %+2495500+62400000+0.2475+4.4419%+445.3889+6.7010 %

Known prime factors (1 factor, 75.3 bits, 0.00701051% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1073647454966277683581119302872375.26821187889393980569
3 × 132 × 41790708863867
2016-07-27169417907088638677,127.097,852182,760

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-02-17Jossv4_computers10000155000--0.0011.780%
2004-04-09ANONYMOUSv4_computers10000020000006--0.0095.326%
2012-01-03bcp19Toshiba-740Q2000001000000012--0.0327.835%
2012-03-21bcp19Toshiba-740Q20000010000000012--0.24210.876%
2014-08-21JossManual testing259781259781--0.0113.203%
2014-11-01JossManual testing319562319562--0.0143.468%
2016-05-23Bruno Victal4790K-windows25000006250000012--0.25712.500%
2016-05-26JossManual testing10736471073647---5.233%


Trial Factoring results:
575859606162636465666768697071
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-24ANONYMOUSv4_computers212570.018
2016-02-23Mark RoseManual testing2572600.125
2009-02-25Sturle Sundepapageno.ifi2602610.143
2010-11-15Michael CManual testing2612620.286
2012-10-13dbaughManual testing2622630.914
2013-12-19ramgeisManual testing2632641.829
2014-01-03David CampeauManual testing2642653.480
2014-02-22Never Odd Or EvenManual testing2652666.960
2014-02-22Never Odd Or EvenManual testing26626713.92
2014-02-22Never Odd Or EvenManual testing26726827.84
2014-02-22Never Odd Or EvenManual testing26826955.68
2014-02-22Never Odd Or EvenManual testing269270111.4
2014-04-01Never Odd Or EvenManual testing270271222.7


ECM factoring results:
Total ECM effort:17.471 GHz-days
Estimated T-Level:25.658
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002789.64
50000500000030.109
25000025000000447.719


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-03-10ANONYMOUSv4_computers31F2EC8C6F91111E0.032
2016-06-01MadPooManual testing31F2EC8C6F91111E0.032


PRP results:
dateuseridcompidcofactorsres64
2017-09-28Oliver KruseGTX-3
45496627768358111930287
56EFC2192393779A
2017-10-16Oliver KruseThreadripper-PC
45496627768358111930287
56EFC2192393779A
2018-01-01ATHec2-1xh
45496627768358111930287
56EFC2192393779A


CERT results:
No CERT results for M1073647


P-1 factor-bounds graph:
B1 = 2500000, B2 = 62500000 (P-1 stage 2)
B1 = 200000, B2 = 100000000 (P-1 stage 2)
B1 = 2500000 (P-1 stage 1)
B1 = 1073647 (P-1 stage 1)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 319562 (P-1 stage 1)
B1 = 259781 (P-1 stage 1)
B1 = 100000, B2 = 2000000 (P-1 stage 2)
B1 = 200000 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 10000, B2 = 155000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
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TF factor-bounds graph:
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this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.66 ~= 69-bit
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Last modified: 2024-03-03T02:29:32+00:00