is 2 1678199 - 1
has 505189 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-LBE0D2C8EC9025EF0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26717.705868.6567%500000150000000.08805.0159%17.793970.2289%1.5722%
PrimeNet2570.011463.1579%80001300000.00102.7246%0.012464.1617%1.0038%
GPU722610.183065.5738%7000900000.00081.2551%0.183866.0059%0.4321%
Difference+6+17.5228+3.0829%+493000+14910000+0.0872+3.7608%+17.6100+4.2230%+4.2230%

Known prime factors (1 factor, 61.9 bits, 0.00368671% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
167819942152432100590657111961.8701255883006145
3 × 5 × 18773 × 4459891
2009-09-181877344598910.27750.01780.0310

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-17T19:18:17alpertronManual testing5000001500000012-
skipped known factor: 4215243210059065711
--0.088--5.016%


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:14.721 GHz-days
Estimated T-Level:24.429
DigitsB1CurvesCompleteFacMiss
2011000248 / 1002.4808.270%
2550000248 / 2800.88641.177%

New Calculation Method

Total ECM effort:14.721 GHz-days
Estimated T-Level:24.429
DigitsB1CompleteFacMiss
20110009.5380.007%
25500000.88341.372%
302500000.05694.585%
3510000000.00399.740%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
50000500000024814.72


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-21T00:00:00ANONYMOUSv4_computersBE0D2C8EC9025EF00.079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:23:17alpertronManual testing
4215243210059065711
485A46E9912CDE__no
2017-10-18T13:50:52Oliver KruseThreadripper
4215243210059065711
485A46E9912CDE__no


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
103
104
105
106
103
104
105
106
107
108
TF factor-bounds graph:
267
258
257
250
260
270
280
290
2100
Last modified: 2020-01-06T12:25:33+00:00