is 2 5622941 - 1
has 1692674 decimal digits
takes 0.888 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 L-L tests remaining
ResidueStatus
L-L9440FA6E9DBBA04Ddouble-checked
PRPE4AA3219FC1F589F

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual27185.022867.6056%340000101150000.19983.4406%85.222668.7202%1.1145%
PrimeNet2620.109362.9032%240005500000.01213.1729%0.121364.0803%1.1770%
GPU722662.626565.1515%360007000000.01652.1914%2.643065.9152%0.7637%
Difference+5+82.3964+2.4541%+304000+9415000+0.1833+1.2491%+82.5796+2.8050%+2.8050%

Known prime factors (1 factor, 77.0 bits, 0.00136998% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
56229411546262967395410414661932477.03313749592672192456
23 × 7229 × 12277 × 19365529
2021-07-2212277193655297,441.70.24430.4512

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2000-08-10T00:00:00ANONYMOUSv4_computers2000020000---0.005--0.188%
2011-01-16T09:33:00harleeP4_2600650001023750---0.027--1.452%
2019-10-22T17:31:24harleei5-5250U_16003400001011500012---0.200--3.441%


P+1 Factoring results:
dateuseridcompidb1b2startfactorSmoothdigitsbits*ghz-days
2021-07-22T03:18:10ATHec2-P_11000000100000027P+12477.0330.337


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-27T00:00:00Marco Mantovanelliv4_computers?262--0.055--
2009-04-15T05:13:00GrunwalderGIMPManual testing262263--0.175--
2014-11-13T01:42:00NesowaManual testing263264--0.349--
2014-11-13T12:15:00monstManual testing264265--0.664--
2015-10-15T08:36:16ramgeisManual testing265266--1.329--
2016-06-18T16:04:56Gordon SpenceManual testing266267--2.658--
2018-07-05T15:04:46ramgeisManual testing267268--5.316--
2020-07-31T12:40:55TJAOIManual testing268269--10.63--
2020-12-14T22:28:52-Anonymous-Manual testing269270--21.26--
2020-12-16T10:33:07-Anonymous-Manual testing270271--42.53--


ECM factoring results:

Old Calculation Method

Total ECM effort:2.161 GHz-days
Estimated T-Level:0.450
DigitsB1CurvesCompleteFacMiss
20110009 / 1000.09091.352%
25500009 / 2800.03296.831%

New Calculation Method

Total ECM effort:2.161 GHz-days
Estimated T-Level:0.450
DigitsB1CompleteFacMiss
20110000.29074.802%
25500000.02697.410%
302500000.00299.839%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-13T00:00:00Marco Mantovanelliv4_computers9440FA6E9DBBA04D0.888
2000-09-15T00:00:00ANONYMOUSv4_computers9440FA6E9DBBA04D0.888


PRP results:
dateuseridcompidcofactorsres64PRP
2021-07-22T05:11:04ATHec2-PRPCFDC
154626296739541041466193
E4AA3219FC1F589Fno


P-1 factor-bounds graph:
B1 = 1000000 (P+1 stage 1)
B1 = 340000, B2 = 10115000 (P-1 stage 2)
B1 = 340000 (P-1 stage 1)
B1 = 65000, B2 = 1023750 (P-1 stage 2)
B1 = 65000 (P-1 stage 1)
B1 = 20000 (P-1 stage 1)
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104
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108
TF factor-bounds graph:
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Last modified: 2021-07-22T05:11:04+00:00