is 2 359837 - 1
has 108322 decimal digits
takes 0.003 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26782.576071.6418%131072131072000.01183.2060%82.587872.5510%0.9092%
PrimeNet2400.000052.5000%36001100000.000116.6749%0.000160.4206%7.9206%
GPU722440.000056.8182%65001800000.000212.3282%0.000262.1417%5.3235%
Difference+23+82.5760+14.8236%+124572+12927200+0.0116-9.1222%+82.5876+10.4092%+10.4092%

Known prime factors (1 factor, 67.1 bits, 0.01863354% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3598371528162717573624874412167.050212340965155560
23 × 32 × 5 × 589836014321
2008-01-08958983601432196.601451.73843.71

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-10-25T00:00:00ANONYMOUSv4_computers500001000000---0.001--1.425%
2002-06-09T00:00:00ANONYMOUSv4_computers327683276800---0.003--1.658%
2002-08-17T00:00:00ANONYMOUSv4_computers655366553600---0.006--2.368%
2003-04-03T00:00:00ANONYMOUSv4_computers13107213107200---0.012--3.206%
2006-01-15T00:00:00Jocelyn Larouchev4_computers359837359837---0.005--1.335%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-03-11T00:00:00ANONYMOUSv4_computers21256--0.027--
2002-02-10T00:00:00ANONYMOUSv4_computers21257--0.053--
2004-01-27T00:00:00ANONYMOUSv4_computers21258--0.107--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.478 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000424 / 1004.2401.410%
2550000424 / 2801.51421.937%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:10.478 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8600.000%
25500003.0254.858%
302500000.28775.066%
3510000000.02297.833%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002802.934
250000250000001447.545


Lucas-Lehmer results:
No L-L results for M359837


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-23T02:34:53Oliver KruseOllaptop
152816271757362487441
31781A8C633E83__no
2017-11-02T07:22:50kkmrkkblmbrbkc4.xlarge
152816271757362487441
31781A8C633E83__no
2020-04-18T08:56:35Oliver KruseAddPrpType5
152816271757362487441
7BF88FFA8CE63C__no


P-1 factor-bounds graph:
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 359837 (P-1 stage 1)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 50000, B2 = 1000000 (P-1 stage 2)
B1 = 65536 (P-1 stage 1)
B1 = 50000 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2020-04-18T08:56:35+00:00