is 2 1934483 - 1
has 582338 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-L5E0BF71B858D8B45double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26830.811869.1176%80000003200000001.96659.7461%32.778272.1275%3.0098%
PrimeNet2580.019863.7931%80001400000.00122.4629%0.021064.6849%0.8918%
GPU722620.317666.1290%8000900000.00101.1511%0.318666.5189%0.3899%
Difference+6+30.4942+2.9886%+7992000+319910000+1.9655+8.5950%+32.4597+5.6085%+5.6085%

Known prime factors (1 factor, 79.0 bits, 0.00408472% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
19344836121705088682796202510712479.018158225869358448645
3 × 5 × 13 × 811414714658711
2020-01-1413811414714658711118,9773,477,5216,495,040

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2012-01-26T04:23:00markrtiny2750006000000---0.046--3.553%
2015-10-17T08:08:10Bruno Victal5820K-linux5000001500000012---0.101--4.631%
2016-12-14T20:30:59Jocelyn Larouchelow 4M568903568903---0.045--1.891%
2016-12-18T04:24:52Jocelyn Larouchelow 4M682683682683---0.054--2.042%
2016-12-24T02:11:54Jocelyn Larouchelow 4M819219819219---0.064--2.199%
2017-01-04T23:07:24Jocelyn Larouchelow 4M983062983062---0.077--2.362%
2017-01-21T06:59:45Jocelyn Larouchelow 4M11796741179674---0.093--2.533%
2017-04-05T22:05:14Jocelyn Larouchelow 4M14156081415608012---0.166--5.087%
2018-01-28T10:31:46mikrS068800000032000000012---1.966--9.746%
2018-03-31T12:12:59Jocelyn Larouchelow 4M193448319344830012---0.973--8.160%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-12-21T00:00:00ANONYMOUSv4_computers21258--0.020--
2016-02-23T16:28:59Mark RoseManual testing258260--0.060--
2010-02-03T07:32:00S485122USB-W260261--0.079--
2016-02-23T16:28:59Mark RoseManual testing261262--0.159--
2011-08-27T22:21:00GrunwalderGIMPManual testing21263--0.825--
2016-02-23T16:28:59Mark RoseManual testing262263--0.507--
2015-05-14T22:30:00lycornManual testing263264--1.015--
2015-05-14T22:30:00lycornManual testing264265--1.931--
2015-09-04T17:59:00ramgeisManual testing265266--3.863--
2018-01-22T18:13:16TJAOIManual testing266267--7.726--
2019-05-10T04:32:10chuenkitManual testing267268--15.45--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.975 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.975 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.7220.016%
25500000.77745.984%
302500000.04895.302%
3510000000.00299.779%


ECM Summary

B1B2factorcurvesGHz-days
500005000000694.796
50000500000010.070
50000750000018115.11


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-02-07T00:00:00ANONYMOUSv4_computers5E0BF71B858D8B450.105
2015-07-10T01:00:00MadPooManual testing5E0BF71B858D8B450.105


PRP results:
dateuseridcompidcofactorsres64PRP
2020-01-15T07:34:36Niels_Mache_NextcloudSuperDry-X
612170508868279620251071
E1BB11D12DB9C52Fno
2020-01-18T06:23:29Alvin BunkBADCAT
612170508868279620251071
E1BB11D12DB9C52Fno


P-1 factor-bounds graph:
B1 = 8000000, B2 = 320000000 (P-1 stage 2)
B1 = 1934483, B2 = 193448300 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 1415608, B2 = 14156080 (P-1 stage 2)
B1 = 1934483 (P-1 stage 1)
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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Last modified: 2022-04-14T10:51:02+00:00