is 2 1938427 - 1
has 583525 decimal digits
takes 0.105 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5FF935055475E75Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26715.328968.6567%1415608141560800.16605.5754%15.494870.4042%1.7475%
PrimeNet2580.019863.7931%80001400000.00122.4639%0.021064.6852%0.8921%
GPU722620.316966.1290%8000900000.00101.1516%0.317966.5191%0.3901%
Difference+5+15.0119+2.5277%+1407608+14066080+0.1650+4.4237%+15.1769+3.8851%+3.8851%

Known prime factors (1 factor, 79.9 bits, 0.00412446% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
193842711674573276699607795846332579.950301135231729118708
22 × 23 × 337 × 9712786470427
2017-09-303379712786470427115,76841,62777,747

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-27T13:15:00markrtiny2750006000000---0.046--3.946%
2015-10-08T11:03:55Bruno Victal5820K-linux5000001500000012---0.101--5.104%
2016-12-14T20:31:00Jocelyn Larouchelow 4M568903568903---0.045--2.124%
2016-12-18T04:24:52Jocelyn Larouchelow 4M682683682683---0.054--2.288%
2016-12-24T02:11:55Jocelyn Larouchelow 4M819219819219---0.064--2.458%
2017-01-04T23:07:26Jocelyn Larouchelow 4M983062983062---0.077--2.636%
2017-01-22T06:40:05Jocelyn Larouchelow 4M11796741179674---0.093--2.820%
2017-04-07T19:58:14Jocelyn Larouchelow 4M14156081415608012---0.166--5.575%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-21T00:00:00ANONYMOUSv4_computers21258--0.020--
2016-02-23T16:28:59Mark RoseManual testing258260--0.059--
2010-01-30T19:40:00S485122USB-W260261--0.079--
2016-02-23T16:28:59Mark RoseManual testing261262--0.158--
2011-08-27T22:21:00GrunwalderGIMPManual testing21263--0.823--
2016-02-23T16:28:59Mark RoseManual testing262263--0.506--
2015-05-07T23:03:00lycornManual testing263264--1.013--
2015-05-07T23:04:00lycornManual testing264265--1.928--
2015-09-05T13:49:00ramgeisManual testing265266--3.855--


ECM factoring results:

Old Calculation Method

Total ECM effort:21.102 GHz-days
Estimated T-Level:24.643
DigitsB1CurvesCompleteFacMiss
2011000260 / 1002.6007.331%
2550000260 / 2800.92939.446%

New Calculation Method

Total ECM effort:21.102 GHz-days
Estimated T-Level:24.643
DigitsB1CompleteFacMiss
20110009.1350.011%
25500000.81244.394%
302500000.05095.090%
3510000000.00299.769%


ECM Summary

B1B2factorcurvesGHz-days
500005000000402.781
50000500000030.209
50000677164320.159
50000750000021517.95


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computers5FF935055475E75A0.105
2015-07-12T18:10:00MadPooManual testing5FF935055475E75A0.105


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-01T06:51:59BloodIceMjolnir4
1167457327669960779584633
10827DDF97BF18__no
2017-10-20T10:36:25Oliver KruseThreadripper
1167457327669960779584633
10827DDF97BF18__no


P-1 factor-bounds graph:
B1 = 1415608, B2 = 14156080 (P-1 stage 2)
B1 = 1415608 (P-1 stage 1)
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 1179674 (P-1 stage 1)
B1 = 983062 (P-1 stage 1)
B1 = 819219 (P-1 stage 1)
B1 = 682683 (P-1 stage 1)
B1 = 275000, B2 = 6000000 (P-1 stage 2)
B1 = 568903 (P-1 stage 1)
B1 = 500000 (P-1 stage 1)
B1 = 275000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-07T09:50:30+00:00