is 2 1841057 - 1
has 554214 decimal digits
takes 0.100 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LEA7DC2BB445612D5double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.139668.6567%2780000917600000.60008.1341%16.739671.2062%2.5495%
PrimeNet2570.010463.1579%80001500000.00122.8824%0.011764.2198%1.0619%
GPU722610.166865.5738%90001400000.00131.5966%0.168166.1234%0.5496%
Difference+6+15.9727+3.0829%+2771000+91620000+0.5988+6.5376%+16.5715+5.0828%+5.0828%

Known prime factors (1 factor, 74.5 bits, 0.00404517% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1841057262345569248582966959032374.4747124862762222543
32 × 13 × 54713 × 1113012683
2017-05-235471311130126832,403.34.77428.9092

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2011-02-07T12:45:00Carsten Kossendeyleela1000001675000---0.015--2.494%
2014-05-19T21:01:00Jocelyn LaroucheManual testing134863134863---0.011--1.061%
2014-09-23T20:52:00Jocelyn LaroucheManual testing169726169726---0.013--1.200%
2015-07-09T23:06:00mikrMSI278000091760000---0.600--8.134%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2016-02-23T16:28:54Mark RoseManual testing258260--0.063--
2010-04-08T13:17:00Architects CubedManual testing260261--0.083--
2016-02-23T16:28:54Mark RoseManual testing261262--0.167--
2011-01-21T16:11:00GrunwalderGIMPManual testing21263--0.867--
2016-02-23T16:28:54Mark RoseManual testing262263--0.533--
2015-04-27T21:09:00snme2pm1Manual testing263264--1.066--
2015-04-27T21:09:00snme2pm1Manual testing264265--2.029--
2015-09-06T20:47:00ramgeisManual testing265266--4.059--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.172 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.172 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5570.019%
25500000.77546.063%
302500000.04895.319%
3510000000.00299.780%


ECM Summary

B1B2factorcurvesGHz-days
500005000000422.903
50000500000020.138
50000660000020716.13


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-01-17T00:00:00ANONYMOUSv4_computersEA7DC2BB445612D50.100
2015-07-16T04:00:00MadPooManual testingEA7DC2BB445612D50.100


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T13:08:59alpertronManual testing
26234556924858296695903
116900F96A3E2B__no
2017-10-19T20:30:16Oliver KruseThreadripper
26234556924858296695903
116900F96A3E2B__no


P-1 factor-bounds graph:
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 100000, B2 = 1675000 (P-1 stage 2)
B1 = 169726 (P-1 stage 1)
B1 = 134863 (P-1 stage 1)
B1 = 100000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
267
266
265
264
263
262
261
260
258
250
260
270
280
290
2100
Last modified: 2021-06-04T15:56:43+00:00