is 2 810253 - 1
has 243911 decimal digits
takes 0.016 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
Actual26736.672470.1493%100000008300000001.583411.1594%38.255873.4804%3.3312%
PrimeNet2400.000050.0000%70003000000.000722.3423%0.000761.1712%11.1712%
GPU722440.000054.5455%130005000000.001117.1429%0.001162.3377%7.7922%
Difference+23+36.6724+15.6038%+9987000+829500000+1.5823-5.9835%+38.2546+11.1427%+11.1427%

Known prime factors (2 factors, 152.2 bits, 0.01878111% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
81025353054853909327845991962.2023273968372183
137 × 223 × 107164033
2007-09-022231071640331.73980.16910.3158
81025312144308671207864098265897992889.972749414606993609656383
32 × 83268289665956628487
2019-04-19983268289665956628487285,449,7191.314e+112.454e+11

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
810253644314522380716607204600964797228183519770560146152.175
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-01-02T00:00:00ANONYMOUSv4_computers2000200000---0.000--0.204%
2002-02-10T00:00:00ANONYMOUSv4_computers4096409600---0.001--0.436%
2002-03-31T00:00:00ANONYMOUSv4_computers8192819200---0.002--0.786%
2002-05-18T00:00:00ANONYMOUSv4_computers163841638400---0.003--1.277%
2002-06-02T00:00:00ANONYMOUSv4_computers327683276800---0.006--1.914%
2002-11-16T00:00:00ANONYMOUSv4_computers655376553700---0.012--2.692%
2003-07-13T00:00:00ANONYMOUSv4_computers13107213107200---0.024--3.597%
2016-03-17T18:52:11alpertronManual testing3000001000000012---0.024--3.955%
2021-09-26T15:35:34gLaussManual testing10000000830000000-
skipped known factor: 5305485390932784599
--1.583--11.159%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-09-26T15:35:25gLaussManual testing500000036500000027--0.777


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-07-17T00:00:00ANONYMOUSv4_computers21255--0.006--
2000-12-31T00:00:00ANONYMOUSv4_computers21256--0.012--
2001-10-06T00:00:00ANONYMOUSv4_computers21257--0.024--
2003-08-25T00:00:00ANONYMOUSv4_computers21258--0.047--


ECM factoring results:

Old Calculation Method

Total ECM effort:11.459 GHz-days
Estimated T-Level:25.344
DigitsB1CurvesCompleteFacMiss
2011000325 / 1003.2503.815%
2550000325 / 2801.16131.261%
3025000044 / 6400.06993.351%

New Calculation Method

Total ECM effort:11.459 GHz-days
Estimated T-Level:25.344
DigitsB1CompleteFacMiss
201100014.8080.000%
25500001.62019.795%
302500000.13287.678%
3510000000.00999.129%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002816.427
25000025000000293.317
25000025000000151.715


Lucas-Lehmer results:
No L-L results for M810253


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-28T01:46:07Oliver KruseGTX-0
5305485390932784599
D6DA13E1DD8B94__no
2017-10-14T00:22:44Oliver KruseThreadripperD6DA13E1DD8B94__no
2017-12-18T12:46:20ATHec2-1xf
5305485390932784599
D6DA13E1DD8B94__no
2019-04-19T09:32:01ATHec2-PRPCF
5305485390932784599
1214430867120786409826589799
332202643ED49125no
2019-04-20T09:08:13marssystemssystem03
5305485390932784599
1214430867120786409826589799
332202643ED49125no


P-1 factor-bounds graph:
B1 = 10000000, B2 = 830000000 (P-1 stage 2)
B1 = 10000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 300000, B2 = 10000000 (P-1 stage 2)
B1 = 65537, B2 = 6553700 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
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: 2021-09-26T15:35:34+00:00