is 2 251809 - 1
has 75803 decimal digits
takes 0.001 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
Actualunknown30000000101202470268904,486.311473.0065%4,486.311473.0065%73.0065%
PrimeNet2400.000055.0000%2600700000.000114.2202%0.000161.3991%6.3991%
GPU722440.000059.0909%45001100000.000110.1715%0.000163.2520%4.1611%
Difference-440.0000-59.0909%+29995500+10120246916890+4,486.3113+62.8350%+4,486.3113+9.7545%+9.7545%

Known prime factors (2 factors, 118.2 bits, 0.04693033% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
251809249290911927.893495
32 × 5 × 11
-9117.862e-117.411e-81.490e-7
25180915047026370951190547284090472890.2822987785657174920385547
739 × 220223981 × 18358635133
2021-08-31220223981183586351331.808e+99.83215.199

1 Composite Factors:
exponentprime factorscomposite factordigitsbits*
25180937510869118554462280670394890727181736118.175
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2021-06-01T16:43:33ViliamF3500000007150000000-
skipped known factor: 249290911
--3.554--46.553%
2021-08-21T11:51:06Oliver KruseOllaptop30000000300000000024-
skipped known factor: 249290911
--1.561--44.033%
2022-04-21T09:21:37Oliver KruseThreadripper-PC3000000010120247026890-
skipped known factor: 249290911
--4,486--63.147%


Trial Factoring results:
No TF results for M251809


ECM factoring results:

Old Calculation Method

Total ECM effort:15.924 GHz-days
Estimated T-Level:27.664
DigitsB1CurvesCompleteFacMiss
2011000622 / 1006.2200.193%
2550000622 / 2802.22110.802%
30250000341 / 6400.53358.671%

New Calculation Method

Total ECM effort:15.924 GHz-days
Estimated T-Level:27.664
DigitsB1CompleteFacMiss
201100038.2390.000%
25500005.1230.596%
302500000.51859.554%
3510000000.04195.946%
4030000000.00399.729%


ECM Summary

B1B2factorcurvesGHz-days
5000050000002811.680
250000250000002226.638
2500002500000050.149
2500003790414770.245
2500003850000070.247
2500001250000001006.965


Lucas-Lehmer results:
No L-L results for M251809


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-22T07:15:47Oliver KruseOllaptop
249290911
B940FEFB26038F__no
2017-09-22T10:06:17Oliver KruseManual testing
249290911
B940FEFB26038F__no
2017-10-12T16:46:35Oliver KruseGTX-2B940FEFB26038F__no
2017-11-06T17:17:22kkmrkkblmbrbkc4.xlarge
249290911
B940FEFB26038F__no
2020-04-17T20:13:19Oliver KruseAddPrpType5
249290911
A0876CD650D079__no
2021-08-31T01:49:12H Michaelson
249290911
1504702637095119054728409047
A0876CD650D0791Cno


P-1 factor-bounds graph:
B1 = 30000000, B2 = 10120247026890 (P-1 stage 2)
B1 = 50000000, B2 = 7150000000 (P-1 stage 2)
B1 = 30000000, B2 = 3000000000 (P-1 stage 2)
B1 = 50000000 (P-1 stage 1)
B1 = 30000000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-04-21T09:21:37+00:00