is 2 1831723 - 1
has 551404 decimal digits
takes 0.099 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
Actual26716.221868.6567%500000150000000.10155.0691%16.323370.2456%1.5888%
PrimeNet2570.010563.1579%80001500000.00122.8796%0.011764.2188%1.0609%
GPU722610.167765.5738%90001400000.00131.5949%0.169066.1228%0.5491%
Difference+6+16.0541+3.0829%+491000+14860000+0.1002+3.4742%+16.1543+4.1227%+4.1227%

Known prime factors (3 factors, 141.4 bits, 0.00772209% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
183172318317231824.1275
5
-151.222e-129.581e-81.601e-7
1831723123824474811133.5283380
22 × 5 × 132
2008-07-151691691.082e-91.329e-52.706e-5
1831723167579093589269631675900732683.7934574356864800781332
22 × 3 × 381196405400065111
2020-11-2443811964054000651111,738,8961.634e+93.051e+9

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
18317232268121508548451111857.654
183172330695849680452709646923908044786333107.920
183172320750393252827149993750548025945611336117.321
1831723380089746552876309507177344567839755618310343141.447
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:39:35alpertronManual testing5000001500000012-
skipped known factor: 18317231
skipped known factor: 12382447481
--0.101--5.069%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2008-07-15T07:47:00J FeitsmaManual testing??33.528114.57055e-100.2139.77689e-10


ECM factoring results:

Old Calculation Method

Total ECM effort:19.212 GHz-days
Estimated T-Level:24.482
DigitsB1CurvesCompleteFacMiss
2011000251 / 1002.5108.025%
2550000251 / 2800.89640.737%

New Calculation Method

Total ECM effort:19.212 GHz-days
Estimated T-Level:24.482
DigitsB1CompleteFacMiss
20110008.5710.019%
25500000.77646.005%
302500000.04895.311%
3510000000.00299.779%


ECM Summary

B1B2factorcurvesGHz-days
500005000000372.556
50000500000010.069
50000660000021316.59


Lucas-Lehmer results:
No L-L results for M1831723


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T01:59:12Oliver KruseGTX-0
18317231
12382447481
4E66AD8BBA7F57__no
2017-11-06T07:58:45ATHec2-1xf
18317231
12382447481
4E66AD8BBA7F57__no
2020-11-24T15:27:46mrhw
18317231
12382447481
16757909358926963167590073
4D467D5AF83483FBno


P-1 factor-bounds graph:
B1 = 500000, B2 = 15000000 (P-1 stage 2)
B1 = 500000 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2021-04-30T08:12:05+00:00