is 2 1827197 - 1
has 550042 decimal digits
takes 0.099 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L8ECF3429C4798056double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26716.262068.6567%500000150000000.10155.0676%16.363570.2451%1.5884%
PrimeNet2570.010563.1579%80001500000.00122.8783%0.011764.2183%1.0604%
GPU722610.168165.5738%90001400000.00131.5941%0.169466.1226%0.5488%
Difference+6+16.0939+3.0829%+491000+14860000+0.1002+3.4735%+16.1941+4.1225%+4.1225%

Known prime factors (3 factors, 198.2 bits, 0.01084757% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
18271976302045357156949431859.129172451174043
3 × 57483724681
-3574837246810.0819246.36460.13
182719744669757403882256091961.9541222357452532
22 × 305589363133
2016-06-1543055893631330.19841,309.72,446.1
18271971646601436317466795163292477.12445058125541949412
22 × 3 × 19 × 197623357640129
2019-10-221919762335764012933,111846,9641,581,893

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
1827197281510837252463438729447074010439528737121.083
182719710376956936832455951327689513889335122424742136.252
182719773553286701185319576445890324741465146936142139.078
182719746353614895883893605567964591465919656693665963286
4187141423
60198.206
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2016-03-16T12:38:59alpertronManual testing5000001500000012---0.101--5.068%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2003-01-16T00:00:00ANONYMOUSv4_computers21258--0.021--
2022-03-08T23:06:28LordJuliusManual testing25826159.129180.0610.2020.124
2022-03-09T03:44:03LordJuliusManual testing2126159.129180.0820.2020.167
2016-06-15T15:50:06TJAOIManual testing261262*61.954190.0300.2020.062


ECM factoring results:

Old Calculation Method

Total ECM effort:19.742 GHz-days
Estimated T-Level:24.607
DigitsB1CurvesCompleteFacMiss
2011000258 / 1002.5807.480%
2550000258 / 2800.92139.729%

New Calculation Method

Total ECM effort:19.742 GHz-days
Estimated T-Level:24.607
DigitsB1CompleteFacMiss
20110008.8100.015%
25500000.79845.019%
302500000.04995.183%
3510000000.00299.773%


ECM Summary

B1B2factorcurvesGHz-days
500005000000372.555
50000500000020.138
50000660000021917.05


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computers8ECF3429C47980560.099


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-04T00:56:00Oliver KruseGTX-0
630204535715694943
4466975740388225609
64654349A2E190__no
2017-11-06T08:33:46bayanneiMac1
630204535715694943
4466975740388225609
64654349A2E190__no
2019-10-22T12:24:00ATHec2-PRPCF
630204535715694943
4466975740388225609
164660143631746679516329
74B25FFEA8D34B8Ano
2019-10-23T09:36:04kkmrkkblmbrbkc5.large
630204535715694943
4466975740388225609
164660143631746679516329
74B25FFEA8D34B8Ano


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: 2022-03-09T03:44:03+00:00