is 2 1684877 - 1
has 507199 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-LF2854F927EB0DAA0double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual270141.820870.0000%10000000100000000.68244.1182%142.503271.2355%1.2355%
PrimeNet2570.011463.1579%80001300000.00102.7267%0.012464.1625%1.0046%
GPU722610.182365.5738%7000900000.00081.2562%0.183166.0062%0.4325%
Difference+9+141.6385+4.4262%+9993000+9910000+0.6816+2.8620%+142.3201+5.2292%+5.2292%

Known prime factors (1 factor, 67.3 bits, 0.00399586% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
16848771849108988230178971912167.32554873708532735
5 × 307 × 479 × 74631199
2014-02-074797463119923.6070.27750.5182

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2008-10-04T00:00:00Richard B. Woodsv4_computers10000001000000---0.068--1.868%
2008-10-14T00:00:00Richard B. Woodsv4_computers20000002000000---0.136--2.446%
2008-10-14T00:00:00Richard B. Woodsv4_computers30000003000000---0.205--2.824%
2008-10-14T00:00:00Richard B. Woodsv4_computers40000004000000---0.273--3.111%
2008-11-12T08:49:00Richard B. WoodsManual testing50000005000000---0.341--3.343%
2008-11-12T08:50:00Richard B. WoodsManual testing60000006000000---0.409--3.539%
2008-11-12T08:52:00Richard B. WoodsManual testing80000008000000---0.546--3.860%
2008-11-26T02:14:00Richard B. WoodsManual testing1000000010000000---0.682--4.118%
2016-03-17T19:18:42alpertronManual testing5000001500000012---0.088--3.735%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-11-14T00:00:00ANONYMOUSv4_computers21257--0.011--
2003-03-16T00:00:00ANONYMOUSv4_computers21258--0.023--
2022-03-08T23:06:22LordJuliusManual testing258260--0.068--
2008-10-04T00:00:00Richard B. Woodsv4_computers21261--0.182--
2008-10-14T00:00:00Richard B. Woodsv4_computers21262--0.365--
2008-10-14T00:00:00Richard B. Woodsv4_computers21263--0.947--
2008-10-14T00:00:00Richard B. Woodsv4_computers21264--2.113--
2008-11-26T02:14:00Richard B. WoodsManual testing21265--4.330--
2014-01-18T11:19:00Never Odd Or EvenManual testing265266--4.435--
2014-01-18T11:19:00Never Odd Or EvenManual testing266267--8.870--
2014-01-18T11:19:00Never Odd Or EvenManual testing267268--17.74--
2014-02-07T18:53:00Never Odd Or EvenManual testing26726867.325215.9710.16112.14
2014-01-18T11:19:00Never Odd Or EvenManual testing268269--35.48--
2014-01-18T11:19:00Never Odd Or EvenManual testing269270--70.96--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.906 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:14.906 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.0970.030%
25500000.73248.105%
302500000.04595.594%
3510000000.00299.794%


ECM Summary

B1B2factorcurvesGHz-days
50000500000025114.91


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-11-21T00:00:00ANONYMOUSv4_computersF2854F927EB0DAA00.079


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T00:42:15Oliver KruseGTX-3
184910898823017897191
0A3F5DC16B3914__no
2017-11-03T05:17:50ATHec2-1xf
184910898823017897191
0A3F5DC16B3914__no


P-1 factor-bounds graph:
B1 = 10000000 (P-1 stage 1)
B1 = 8000000 (P-1 stage 1)
B1 = 6000000 (P-1 stage 1)
B1 = 5000000 (P-1 stage 1)
B1 = 4000000 (P-1 stage 1)
B1 = 3000000 (P-1 stage 1)
B1 = 2000000 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1000000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
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108
TF factor-bounds graph:
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Last modified: 2022-03-08T23:06:22+00:00