is 2 1044847 - 1
has 314531 decimal digits
takes 0.031 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L25C0D712016C71A6double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual271457.558271.8310%2000001000000000.24233.7205%457.800572.8790%1.0480%
PrimeNet2560.009264.2857%4500600000.00031.9570%0.009564.9846%0.6989%
GPU722600.147066.6667%4500180000.00020.6169%0.147266.8723%0.2056%
Difference+11+457.4112+5.1643%+195500+99982000+0.2420+3.1036%+457.6532+6.0067%+6.0067%

Known prime factors (1 factor, 90.3 bits, 0.00863999% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
104484714975434649547915838756494172890.275716632896947970173564
22 × 193 × 223 × 571 × 493369 × 14776331
2016-04-1149336914776331432,381,5420.05460.0646

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-22T00:00:00Jocelyn Larouchev4_computers1000090000---0.001--0.235%
2012-01-02T01:51:00bcp19Toshiba-740Q20000010000000---0.032--2.473%
2012-01-25T13:39:00bcp19Toshiba-740Q200000100000000---0.242--3.721%
2014-08-21T21:46:00Jocelyn LaroucheManual testing261429261429---0.011--0.807%
2014-10-18T13:18:00Jocelyn LaroucheManual testing322858322858---0.014--0.905%
2016-04-11T07:16:32mikrDell2000001000000002890.2750.2420.0620.4853.721%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-12T00:00:00ANONYMOUSv4_computers21256--0.009--
2001-11-10T00:00:00ANONYMOUSv4_computers21257--0.018--
2003-02-09T00:00:00ANONYMOUSv4_computers21258--0.037--
2016-02-23T16:28:20Mark RoseManual testing258260--0.110--
2009-02-15T10:22:00Sturle Sundeinteravia.ifi260261--0.147--
2010-11-10T05:38:00Michael CManual testing261262--0.294--
2010-12-07T22:31:00Michael CManual testing262263--0.940--
2013-01-03T08:49:00dbaughManual testing263264--1.879--
2013-04-09T17:58:00Never Odd Or EvenManual testing264265--3.576--
2013-04-09T17:58:00Never Odd Or EvenManual testing265266--7.152--
2013-04-09T17:58:00Never Odd Or EvenManual testing266267--14.30--
2013-04-09T17:58:00Never Odd Or EvenManual testing267268--28.61--
2013-09-29T14:01:00Never Odd Or EvenManual testing268269--57.22--
2013-09-29T14:01:00Never Odd Or EvenManual testing269270--114.4--
2014-04-01T16:43:00Never Odd Or EvenManual testing270271--228.9--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.514 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:17.514 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100012.7310.000%
25500001.34925.941%
302500000.10889.793%
3510000000.00799.295%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002819.82
25000025000000447.691


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2003-08-25T00:00:00ANONYMOUSv4_computers25C0D712016C71A60.031


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T19:50:39Oliver KruseGTX-1
1497543464954791583875649417
9F27A2A23D113F__no
2017-10-15T22:16:24Oliver KruseThreadripper
1497543464954791583875649417
9F27A2A23D113F__no
2017-12-27T08:14:56ATHec2-1xf
1497543464954791583875649417
9F27A2A23D113F__no


P-1 factor-bounds graph:
B1 = 200000, B2 = 100000000 (P-1 stage 2)
B1 = 200000, B2 = 10000000 (P-1 stage 2)
B1 = 322858 (P-1 stage 1)
B1 = 261429 (P-1 stage 1)
B1 = 200000 (P-1 stage 1)
B1 = 10000, B2 = 90000 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-06-15T09:57:15+00:00