is 2 1814641 - 1
has 546262 decimal digits
takes 0.098 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LA03A274A8631A09Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.374568.6567%2780000917600000.60008.1225%16.974671.2026%2.5459%
PrimeNet2570.010663.1579%80001500000.00122.8745%0.011864.2169%1.0590%
GPU722610.169365.5738%90001300000.00121.5569%0.170566.1098%0.5360%
Difference+6+16.2053+3.0829%+2771000+91630000+0.5988+6.5656%+16.8041+5.0928%+5.0928%

Known prime factors (2 factors, 150.3 bits, 0.00828002% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
1814641271857181893625284969592374.5257490660188258319
44505421 × 168308939		2021-02-19445054211683089393,230.54.03157.1250
1814641625442926418128786356312375.72717233241352370215
3 × 5 × 313 × 3670551938737		2016-05-2231336705519387375,709.115,73129,381

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1814641170031151411334532506392344644096338905254612946150.253
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-02-09T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.265%
2003-02-16T00:00:00ANONYMOUSv4_computers4096409600---0.002--0.534%
2014-09-10T00:51:00Jocelyn LaroucheManual testing166442166442---0.013--1.184%
2014-12-02T21:55:00Jocelyn LaroucheManual testing201812201812---0.016--1.308%
2015-05-21T16:38:00mikrMSI278000091760000---0.600--8.122%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2003-03-27T00:00:00ANONYMOUSv4_computers21259--0.042--
2016-02-23T16:28:53Mark RoseManual testing259260--0.042--
2010-04-18T13:21:00Architects Cubeda3_bu2260261--0.085--
2016-02-23T16:28:53Mark RoseManual testing261262--0.169--
2011-01-21T16:10:00GrunwalderGIMPManual testing21263--0.880--
2016-02-23T16:28:53Mark RoseManual testing262263--0.541--
2015-04-22T21:30:00snme2pm1Manual testing263264--1.082--
2015-04-22T21:30:00snme2pm1Manual testing264265--2.059--
2015-09-02T13:37:00ramgeisManual testing265266--4.118--


ECM factoring results:

Old Calculation Method

Total ECM effort:19.233 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.233 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5820.019%
25500000.77745.957%
302500000.04895.304%
3510000000.00299.779%


ECM Summary

B1B2factorcurvesGHz-days
500005000000302.070
50000500000030.207
50000660000021316.57
50000660000050.389


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-16T00:00:00faziv4_computersA03A274A8631A09F0.098
2015-06-27T00:54:00MadPooManual testingA03A274A8631A09F0.098


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-03T21:55:01Oliver KruseGTX-1
62544292641812878635631
F013680C920968__no
2017-11-06T01:54:43bayanneiMac1
62544292641812878635631
F013680C920968__no
2021-02-19T18:35:06ViliamF3
27185718189362528496959
62544292641812878635631
961E88B98F8EFD9Bno


P-1 factor-bounds graph:
B1 = 2780000, B2 = 91760000 (P-1 stage 2)
B1 = 2780000 (P-1 stage 1)
B1 = 201812 (P-1 stage 1)
B1 = 166442 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 4096 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-02-26T17:53:07+00:00