is 2 1681349 - 1
has 506137 decimal digits
takes 0.079 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE96FD26F78AF5F92double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.672768.6567%500000150000000.08805.0171%17.760770.2292%1.5725%
PrimeNet2570.011463.1579%80001300000.00102.7256%0.012464.1621%1.0042%
GPU722610.182765.5738%7000900000.00081.2556%0.183566.0060%0.4323%
Difference+6+17.4900+3.0829%+493000+14910000+0.0872+3.7614%+17.5772+4.2232%+4.2232%

Known prime factors (2 factors, 161.7 bits, 0.00961773% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
16813491352163085596085075036392476.84040210660772870031
32 × 647 × 6905488712497
2008-06-11647690548871249717,71425,67447,952
1681349353021273274153989132565832684.86810498155745004576359
96756389 × 108500904731
2020-01-27967563891085009047314,397,609409.64753.44

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1681349477342334151438820879612706966466701382521320553749161.708
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:18:39alpertronManual testing5000001500000012---0.088--5.017%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14T00:00:00ANONYMOUSv4_computers21257--0.011--
2003-03-27T00:00:00ANONYMOUSv4_computers21258--0.023--


ECM factoring results:

Old Calculation Method

Total ECM effort:15.259 GHz-days
Estimated T-Level:24.589
DigitsB1CurvesCompleteFacMiss
2011000257 / 1002.5707.555%
2550000257 / 2800.91839.872%

New Calculation Method

Total ECM effort:15.259 GHz-days
Estimated T-Level:24.589
DigitsB1CompleteFacMiss
20110009.8850.005%
25500000.91540.068%
302500000.05894.394%
3510000000.00399.731%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000025415.08
50000500000030.178


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-02T00:00:00ANONYMOUSv4_computersE96FD26F78AF5F920.079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T00:04:48Oliver KruseGTX-3
135216308559608507503639
42F804FAC97272__no
2017-11-10T22:55:17kkmrkkblmbrbkc4.xlarge
135216308559608507503639
42F804FAC97272__no
2020-01-28T05:59:02Chang Chia-Tchehomura
135216308559608507503639
35302127327415398913256583
0A5BF3794505A1CBno
2020-01-29T14:47:51Steve PotocnyLenny7
135216308559608507503639
35302127327415398913256583
0A5BF3794505A1CBno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-02-03T10:38:07+00:00