is 2 836683 - 1
has 251867 decimal digits
takes 0.020 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L06624305578A9C54double-checked
PRPF67B22E955F1A9__

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26871.239570.5882%100000002000000000.71568.5444%71.955173.1013%2.5131%
PrimeNet2400.000050.0000%80003200000.000922.7939%0.000961.3969%11.3969%
GPU722440.000054.5455%140005500000.001517.5384%0.001562.5175%7.9720%
Difference+24+71.2395+16.0428%+9986000+199450000+0.7141-8.9940%+71.9536+10.5838%+10.5838%

Known prime factors (1 factor, 101.1 bits, 0.01208802% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
836683279056391301526815608340880099931101.1381667635121674079762636153
1667635121674079762636153
2021-07-30116676351216740797626361531.693e+113.195e+155.967e+15

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-08T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.166%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.363%
2002-04-07T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.669%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.004--1.105%
2002-06-15T00:00:00ANONYMOUSv4_computers327683276800---0.007--1.680%
2002-12-02T00:00:00ANONYMOUSv4_computers655376553700---0.015--2.393%
2003-07-30T00:00:00ANONYMOUSv4_computers13107213107200---0.029--3.233%
2009-08-29T08:45:00Carsten Kossendeyleela836683836683---0.029--1.966%
2012-01-22T03:55:00Jocelyn LaroucheManual testing837273837273---0.029--1.967%
2012-07-17T23:51:00markrManual testing10000000200000000---0.716--8.544%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-30T12:26:57gLaussManual testing750000058500000027P+131101.1381.223


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-08-10T00:00:00ANONYMOUSv4_computers?255--0.006--
2001-01-21T00:00:00ANONYMOUSv4_computers?256--0.011--
2001-10-20T00:00:00ANONYMOUSv4_computers?257--0.023--
2003-09-09T00:00:00ANONYMOUSv4_computers?258--0.046--
2008-10-15T03:40:00Sturle Sundenikabrik.ifi258259--0.046--
2008-10-15T04:15:00Sturle Sundenikabrik.ifi259260--0.092--
2010-05-26T18:20:00For Researchm1_f2260261--0.184--
2015-02-20T13:21:00TJAOIManual testing261262--0.367--
2015-10-03T00:18:15Gordon SpenceManual testing262263--1.173--
2015-10-03T00:18:15Gordon SpenceManual testing263264--2.347--
2016-02-18T08:42:07lycornManual testing264265--4.466--
2017-12-12T04:30:28Smok_bmvManual testing265266--8.931--
2017-12-12T04:30:28Smok_bmvManual testing266267--17.86--
2017-12-12T04:30:28Smok_bmvManual testing267268--35.73--


ECM factoring results:

Old Calculation Method

Total ECM effort:14.406 GHz-days
Estimated T-Level:25.305
DigitsB1CurvesCompleteFacMiss
2011000361 / 1003.6102.656%
2550000361 / 2801.28927.483%
3025000039 / 6400.06194.084%

New Calculation Method

Total ECM effort:14.406 GHz-days
Estimated T-Level:25.305
DigitsB1CompleteFacMiss
201100013.6370.000%
25500001.40924.447%
302500000.10989.716%
3510000000.00799.316%


ECM Summary

B1B2factorcurvesGHz-days
5000050000003228.972
25000025000000395.434


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2015-04-11T21:20:00MadPooManual testing06624305578A9C540.020


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-30T13:39:39gLaussManual testing
2790563913015268156083408800999
F67B22E955F1A9__no
2021-08-31T00:27:36ATHec2-PRPCFDC
2790563913015268156083408800999
F67B22E955F1A9C3no


P-1 factor-bounds graph:
B1 = 7500000, B2 = 585000000 (P+1 stage 2)
B1 = 10000000, B2 = 200000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 7500000 (P+1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 837273 (P-1 stage 1)
B1 = 836683 (P-1 stage 1)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 16384, B2 = 1638400 (P-1 stage 2)
B1 = 65537 (P-1 stage 1)
B1 = 8192, B2 = 819200 (P-1 stage 2)
B1 = 32768 (P-1 stage 1)
B1 = 4096, B2 = 409600 (P-1 stage 2)
B1 = 16384 (P-1 stage 1)
B1 = 2000, B2 = 200000 (P-1 stage 2)
B1 = 8192 (P-1 stage 1)
B1 = 4096 (P-1 stage 1)
B1 = 2000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-08-31T00:27:36+00:00