is 2 5847857 - 1
has 1760381 decimal digits
takes 1.036 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-LD0D7C03E8EC2A9A4double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26810.192666.1765 %720000115200000.33625.2296 %10.528867.9453 %
Target2662.525465.1515 %3600040000000.06472.2814 %2.590265.9465 %
Difference+2+7.6672+1.0250 %+684000+7520000+0.2715+2.9482%+7.9386+1.9988 %

Known prime factors (1 factor, 71.4 bits, 0.00122144% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
584785731769366240895687685692271.428271632550530012
22 × 3 × 72 × 106163 × 4351423
2019-12-07106163435142393.6480.08670.1138

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2000-09-29ANONYMOUSv4_computers2000020000--0.0050.453%
2003-04-10ANONYMOUSv4_computers2000020000--0.0050.453%
2011-02-28USAFSSP4_26006500010887506--0.0312.788%
2019-12-07storm5510Manual testing7200001152000022271.4280.3366.304%


Trial Factoring results:
575859606162636465666768
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-10-04ANONYMOUSv4_computers212620.053
2009-03-24GrunwalderGIMPManual testing2622630.168
2014-10-09NesowaManual testing2632640.336
2014-10-16lycornManual testing2642650.639
2015-09-14snme2pm1Manual testing2652661.278
2016-07-15Gordon SpenceManual testing2662672.556
2018-07-05ramgeisManual testing2672685.111


ECM factoring results:
Total ECM effort:2.425 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.425


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-10-04ANONYMOUSv4_computersD0D7C03E8EC2A9A41.036
2000-11-15ANONYMOUSv4_computersD0D7C03E8EC2A9A41.036
2003-04-10ANONYMOUSv4_computersD0D7C03E8EC2A9A41.036


PRP results:
dateuseridcompidcofactorsres64
2019-12-08Niels_Mache_NextcloudSuperDry-X
3176936624089568768569
BD0BD688CFB854C3
2019-12-09marssystemsSystem01
3176936624089568768569
BD0BD688CFB854C3


CERT results:
No CERT results for M5847857


P-1 factor-bounds graph:
B1 = 720000, B2 = 11520000 (P-1 stage 2)
B1 = 720000 (P-1 stage 1)
B1 = 65000, B2 = 1088750 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
268
267
266
265
264
263
262
this exponent TF target: 66
TF double-checked to: 67
ECM T-Level=1.73 ~= -11-bit
250
260
270
280
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Last modified: 2024-03-13T02:15:48+00:00