is 2 1216547 - 1
has 366218 decimal digits
takes 0.037 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L4400B23C89FF3DB8double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26724.424868.6567 %300000100000000.03684.1686 %24.461669.9633 %
Target2600.126365.0000 %50001500000.00060.8284 %0.126865.2899 %
Difference+7+24.2985+3.6567 %+295000+9850000+0.0363+3.3402%+24.3348+4.6734 %

Known prime factors (1 factor, 65.6 bits, 0.00538883% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1216547543030356659058025612065.55822318511190240
25 × 3 × 5 × 7013 × 6630101
2013-10-07701366301015.99710.01640.0300

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2002-09-07Jossv4_computers10001000--4.45000e-50.039%
2002-11-16Jossv4_computers1000010000--0.0000.525%
2003-09-21Xyzzyv4_computers1000010000006--0.0032.893%
2003-09-21Team Prime Ribv4_computers1000010000006--0.0032.893%
2016-03-17alpertronManual testing3000001000000012
skipped known factor: 54303035665905802561
---8.292%


Trial Factoring results:
5758596061626364656667
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
2001-11-10ANONYMOUSv4_computers212570.016
2003-05-19ANONYMOUSv4_computers212580.032
2022-03-07LordJuliusManual testing258260
2022-04-13LordJuliusManual testing21261
2009-02-16Sturle Sundegiacco.ifi2602610.126
2011-05-09XyzzyManual testing2612620.253
2022-04-13LordJuliusManual testing261262
2012-10-13dbaughManual testing2622630.807
2022-04-13LordJuliusManual testing262263
2022-04-13LordJuliusManual testing263264


ECM factoring results:
Total ECM effort:20.298 GHz-days
Estimated T-Level:25.687
DigitsB1CompleteFacMiss
201100015.2080.000%
25500001.66718.888%
302500000.13787.162%
3510000000.00999.076%


ECM Summary

B1B2factorcurvesGHz-days
10.038
50000500000028110.60
25000035000000449.66


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2002-08-10ANONYMOUSv4_computers4400B23C89FF3DB80.037


PRP results:
dateuseridcompidcofactorsres64
2017-09-29Oliver KruseGTX-2
54303035665905802561
DC98FB71A8B2FB19
2017-10-18Oliver KruseGTX-0
54303035665905802561
DC98FB71A8B2FB19
2018-01-03ATHec2-8x
54303035665905802561
DC98FB71A8B2FB19


CERT results:
No CERT results for M1216547


P-1 factor-bounds graph:
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 10000, B2 = 1000000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 1000 (P-1 stage 1)
102
103
104
105
106
102
103
104
105
106
107
TF factor-bounds graph:
264
263
262
261
260
258
257
this exponent TF target: 60
TF double-checked to: 67
ECM T-Level=25.69 ~= 69-bit
250
260
270
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Last modified: 2024-02-29T14:28:04+00:00