is 2 2012819 - 1
has 605919 decimal digits
takes 0.132 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L33F4425E39D08014double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26714.762368.6567%580000150800000.13065.2205%14.893070.2930%1.6363%
PrimeNet2580.019163.7931%90001500000.00162.6102%0.020764.7382%0.9451%
GPU722620.305266.1290%80001200000.00131.2723%0.306666.5600%0.4310%
Difference+5+14.4571+2.5277%+572000+14960000+0.1293+3.9482%+14.5864+3.7330%+3.7330%

Known prime factors (1 factor, 73.1 bits, 0.00363291% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
2012819102919226580100509765592373.1242556594174143341
331 × 7723849468711
2015-06-2933177238494687111,604.740,12074,932

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-04-28T00:00:00Jocelyn Larouchev4_computers20002000---0.000--0.022%
2002-05-05T00:00:00Jocelyn Larouchev4_computers30003000---0.000--0.040%
2003-01-25T00:00:00ANONYMOUSv4_computers30000547500---0.006--1.425%
2003-11-16T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.273%
2010-12-02T22:33:00Jocelyn LaroucheManual testing201281201281---0.019--1.329%
2013-10-09T11:03:00David Campeaui5-2500k58000015080000---0.131--5.221%
2016-03-17T19:19:32alpertronManual testing5000001500000012---0.123--5.127%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21258--0.019--
2022-03-09T07:16:45LordJuliusManual testing21260--0.076--
2009-01-02T21:14:00Sturle Sundeczerny.ifi260261--0.076--
2012-02-01T08:47:00Sebastian HornbostelManual testing261262--0.153--
2013-02-11T20:23:00dbaughManual testing262263--0.488--
2015-03-15T12:12:00VictordeHollanderManual testing263264--0.975--
2015-03-15T12:12:00VictordeHollanderManual testing264265--1.856--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.707 GHz-days
Estimated T-Level:1.500
DigitsB1CurvesCompleteFacMiss
201100030 / 1000.30073.970%
255000030 / 2800.10789.823%

New Calculation Method

Total ECM effort:2.707 GHz-days
Estimated T-Level:1.500
DigitsB1CompleteFacMiss
20110000.99936.829%
25500000.09191.306%
302500000.00699.440%


ECM Summary

B1B2factorcurvesGHz-days
500005000000151.270
50000500000010.085
500006750000141.353


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00S00030v4_computers33F4425E39D080140.132


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-30T15:24:45alpertronManual testing
10291922658010050976559
D15947FF64A8FD__no
2017-10-20T19:34:56Oliver KruseThreadripper
10291922658010050976559
D15947FF64A8FD__no


P-1 factor-bounds graph:
B1 = 580000, B2 = 15080000 (P-1 stage 2)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 580000 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 201281 (P-1 stage 1)
B1 = 30000, B2 = 547500 (P-1 stage 2)
B1 = 30000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 3000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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264
263
262
261
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2100
Last modified: 2022-03-09T07:16:45+00:00