is 2 1784683 - 1
has 537244 decimal digits
takes 0.097 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LDBC6127AAF4F83A2double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26833.398069.1176%17846831963151300.97418.0489%34.372171.6033%2.4857%
PrimeNet2570.010863.1579%80001400000.00122.8129%0.012064.1942%1.0363%
GPU722610.172165.5738%80001300000.00121.4925%0.173366.0876%0.5138%
Difference+7+33.2259+3.5439%+1776683+196185130+0.9729+6.5564%+34.1988+5.5158%+5.5158%

Known prime factors (1 factor, 82.9 bits, 0.00464557% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
178468390777810361604573433430812582.9092543247466401724380
22 × 32 × 5 × 1242869 × 11368175239
2020-01-061242869113681752391,004,97948.81490.998

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T16:22:00Carsten Kossendeyleela950001615000---0.014--2.158%
2014-04-10T20:52:00ANONYMOUSManual testing100000100000---0.008--0.772%
2014-05-09T20:32:00Jocelyn LaroucheManual testing135964135964---0.011--0.924%
2014-09-19T20:39:00Jocelyn LaroucheManual testing171928171928---0.014--1.051%
2015-06-03T05:15:00mikrMSI247540086660000---0.556--7.334%
2018-07-02T01:21:12Jocelyn Larouchelow 4M178468317846830012---0.898--7.941%
2018-10-19T23:20:50Jocelyn Larouchelow 4M178468319631513012---0.974--8.049%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-25T00:00:00ANONYMOUSv4_computers21258--0.022--
2016-02-23T16:28:51Mark RoseManual testing258260--0.065--
2010-04-22T12:49:00Architects Cubedm1_76l260261--0.086--
2016-02-23T16:28:51Mark RoseManual testing261262--0.172--
2010-10-16T22:17:00GrunwalderGIMPManual testing21263--0.894--
2016-02-23T16:28:51Mark RoseManual testing262263--0.550--
2015-05-14T21:29:00snme2pm1Manual testing263264--1.100--
2015-05-14T21:29:00snme2pm1Manual testing264265--2.094--
2015-09-12T12:52:00ramgeisManual testing265266--4.187--
2018-01-08T13:22:30TJAOIManual testing266267--8.374--
2019-07-31T09:42:05TJAOIManual testing267268--16.75--


ECM factoring results:

Old Calculation Method

Total ECM effort:17.288 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:17.288 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000024817.08
50000500000030.207


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-06T00:00:00ANONYMOUSv4_computersDBC6127AAF4F83A20.097
2015-07-01T17:36:00MadPooManual testingDBC6127AAF4F83A20.097


PRP results:
dateuseridcompidcofactorsres64PRP
2020-01-06T13:57:01mrhx
9077781036160457343343081
8348D5B4D4443C94no
2020-01-07T13:19:14marssystemsSYSTEM01
9077781036160457343343081
8348D5B4D4443C94no


P-1 factor-bounds graph:
B1 = 1784683, B2 = 196315130 (P-1 stage 2)
B1 = 1784683, B2 = 178468300 (P-1 stage 2)
B1 = 2475400, B2 = 86660000 (P-1 stage 2)
B1 = 2475400 (P-1 stage 1)
B1 = 1784683 (P-1 stage 1)
B1 = 95000, B2 = 1615000 (P-1 stage 2)
B1 = 171928 (P-1 stage 1)
B1 = 135964 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
B1 = 95000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-12-11T12:25:18+00:00