is 2 2442227 - 1
has 735184 decimal digits
takes 0.165 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L907F1277F8A77AA5double-checked
PRP0ED141FA0AA017FEverified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26824.406067.6471%1172000480000000.36476.4334%24.770769.7285%2.0814%
PrimeNet2590.031462.7119%100001800000.00192.5268%0.033363.6540%0.9422%
GPU722630.653565.0794%100001500000.00171.3068%0.655265.5357%0.4563%
Difference+5+23.7524+2.5677%+1162000+47850000+0.3630+5.1267%+24.1154+4.1928%+4.1928%

Known prime factors (1 factor, 81.3 bits, 0.00332774% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
244222729175805153060250711618092581.271597319683081471352
23 × 197 × 617 × 5309 × 115705159
2021-03-155309115705159234,0350.61801.1533

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-10-14T00:00:00ANONYMOUSv4_computers2048204800---0.001--0.233%
2003-10-31T00:00:00Team Prime Ribv4_computers15000217500---0.003--0.771%
2010-11-17T22:12:00Jocelyn LaroucheManual testing2000020000---0.002--0.262%
2011-01-12T13:59:00Oscar Östlin950001947500---0.019--2.372%
2014-01-19T19:37:00mikrMSI117200048000000---0.365--6.433%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-03-15T00:00:00ANONYMOUSv4_computers21259--0.031--
2016-02-23T16:29:14Mark RoseManual testing259260--0.031--
2009-01-15T02:43:00Sturle Sundehomilius.ifi260261--0.063--
2012-06-06T17:43:00Sebastian HornbostelManual testing261262--0.126--
2013-01-23T08:28:00dbaughManual testing262263--0.402--
2015-02-27T20:41:00VictordeHollanderManual testing263264--0.804--
2015-02-27T20:41:00VictordeHollanderManual testing264265--1.530--
2015-10-25T20:35:02ramgeisManual testing265266--3.060--
2017-07-12T11:35:13Gordon SpenceManual testing266267--6.120--
2019-04-22T13:11:32TJAOIManual testing267268--12.24--


ECM factoring results:

Old Calculation Method

Total ECM effort:10.443 GHz-days
Estimated T-Level:22.071
DigitsB1CurvesCompleteFacMiss
2011000116 / 1001.16031.166%
2550000116 / 2800.41466.032%

New Calculation Method

Total ECM effort:10.443 GHz-days
Estimated T-Level:22.071
DigitsB1CompleteFacMiss
20110003.7582.334%
25500000.34071.182%
302500000.02197.928%


ECM Summary

B1B2factorcurvesGHz-days
5000050000001089.64
50000500000010.089
50000675000070.717


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-06-14T00:00:00ANONYMOUSv4_computers907F1277F8A77AA50.165
1999-03-26T00:00:00ANONYMOUSv4_computers907F1277F8A77AA50.165
2018-05-24T12:06:55kkmrkkblmbrbkold907F1277F8A77AA50.165


PRP results:
dateuseridcompidcofactorsres64PRP
2021-03-15T21:10:49ATH5960X
2917580515306025071161809
0ED141FA0AA017FEno


P-1 factor-bounds graph:
B1 = 1172000, B2 = 48000000 (P-1 stage 2)
B1 = 1172000 (P-1 stage 1)
B1 = 95000, B2 = 1947500 (P-1 stage 2)
B1 = 95000 (P-1 stage 1)
B1 = 15000, B2 = 217500 (P-1 stage 2)
B1 = 20000 (P-1 stage 1)
B1 = 15000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 2048 (P-1 stage 1)
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TF factor-bounds graph:
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266
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Last modified: 2021-03-15T21:10:49+00:00