is 2 4468687 - 1
has 1345209 decimal digits
takes 0.557 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L15C378DFCBA8A6D5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual2676.649465.6716%1800000680000000.97788.2069%7.627268.4889%2.8173%
PrimeNet2610.068762.2951%180003600000.00662.9454%0.075463.4056%1.1105%
GPU722651.632664.6154%260005500000.00992.0885%1.642565.3544%0.7390%
Difference+2+5.0167+1.0563%+1774000+67450000+0.9679+6.1184%+5.9847+3.1346%+3.1346%

Known prime factors (1 factor, 86.1 bits, 0.00192693% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
4468687834197565690367347339241612686.1099333810643824095840
25 × 5 × 86711 × 237683 × 2830523
2016-12-1723768328305235,981,5550.06850.0875

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-12-31T00:00:00ANONYMOUSv4_computers20000145000---0.005--0.979%
2010-08-28T10:12:00markrtiny950002090000---0.037--2.975%
2016-12-17T13:27:42mikrMSI180000068000000122686.1090.9781.1151.9568.207%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-03-03T00:00:00ANONYMOUSv4_computers21260--0.034--
2002-06-15T00:00:00ANONYMOUSv4_computers21261--0.069--
2010-10-08T04:37:00markroldgamer261262--0.069--
2012-02-03T03:49:00GrunwalderGIMPManual testing21263--0.357--
2016-02-23T16:38:52Mark RoseManual testing262263--0.220--
2014-09-22T08:26:00JayderManual testing263264--0.439--
2014-09-22T12:11:00monstManual testing264265--0.836--
2015-06-25T11:22:00snme2pm1Manual testing265266--1.672--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.660 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:1.660 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000091.660


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-03-31T00:00:00ANONYMOUSv4_computers15C378DFCBA8A6D50.557
1999-12-23T00:00:00ANONYMOUSv4_computers0D576E3A0F89AE__0.557
2001-01-08T00:00:00ANONYMOUSv4_computers15C378DFCBA8A6D50.557


PRP results:
dateuseridcompidcofactorsres64PRP
2017-11-17T13:24:10Oliver KruseGTX-3
83419756569036734733924161
A1BFA1FC10565E__no
2018-01-01T06:30:36kkmrkkblmbrbkc4.xlarge
83419756569036734733924161
A1BFA1FC10565E__no


P-1 factor-bounds graph:
B1 = 1800000, B2 = 68000000 (P-1 stage 2)
B1 = 1800000 (P-1 stage 1)
B1 = 95000, B2 = 2090000 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 20000, B2 = 145000 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
TF factor-bounds graph:
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2018-01-01T06:30:36+00:00