is 2 7879219 - 1
has 2371882 decimal digits
takes 1.803 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-LE0D7A35F7CFE0397double-checked
PRP4352FBCEFBF01064PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272121.374268.0556%2500000040052471550731.860715.0924%853.234972.8767%4.8212%
PrimeNet2630.202663.4921%340009000000.02693.5576%0.229564.7909%1.2988%
GPU722673.771265.6716%5500012000000.03892.5606%3.810166.5507%0.8790%
Difference+5+117.6030+2.3839%+24945000+40051271550+731.8218+12.5318%+849.4248+6.3261%+3.9422%

Known prime factors (1 factor, 144.6 bits, 0.00183528% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
78792193393677699167164345078562374940497212064004744144.6062153562237048598563562303811418680717
19 × 59 × 71 × 3529 × 487219 × 1039007 × 9780241 × 1548636751
2022-02-14978024115486367512.436e+1031.06252.286

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-05-18T00:00:00ANONYMOUSv4_computers40000520000---0.022--0.971%
2012-09-12T19:58:00NesowaWork1000001900000---0.066--1.761%
2021-10-14T14:25:29Architects Cubeda3_cont41100023398000---0.552--3.926%
2022-02-14T12:13:06Oliver Kruse11700K250000004005247155044144.606731.93.6061,46415.092%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1999-07-27T00:00:00ANONYMOUSv4_computers21263--0.203--
2013-10-05T12:36:00NesowaManual testing263264--0.249--
2013-12-19T00:11:00David CampeauManual testing264265--0.474--
2015-06-09T21:18:00VictordeHollanderManual testing265266--0.948--
2016-08-31T12:19:13Gordon SpenceManual testing266267--1.897--
2018-08-05T21:58:13ramgeisManual testing267268--3.794--
2020-02-14T10:21:17TJAOIManual testing268269--7.587--
2021-08-20T16:56:55SRBaseManual testing269270--15.17--
2021-08-26T16:07:29SRBaseManual testing270271--30.35--
2021-10-29T16:47:27SRBaseManual testing271272--60.70--


ECM factoring results:
Total ECM effort:2.088 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000062.088


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
2000-01-12T00:00:00netconxv4_computersE0D7A35F7CFE03971.803
2002-07-14T00:00:00ANONYMOUSv4_computersE0D7A35F7CFE03971.803


PRP results:
dateuseridcompidcofactorsres64PRP
2022-02-14T13:49:41Oliver KruseIOS-6
33936776991671643450785623749404972120640047
4352FBCEFBF01064no


P-1 factor-bounds graph:
B1 = 25000000, B2 = 40052471550 (P-1 stage 2)
B1 = 25000000 (P-1 stage 1)
B1 = 411000, B2 = 23398000 (P-1 stage 2)
B1 = 411000 (P-1 stage 1)
B1 = 100000, B2 = 1900000 (P-1 stage 2)
B1 = 100000 (P-1 stage 1)
B1 = 40000, B2 = 520000 (P-1 stage 2)
B1 = 40000 (P-1 stage 1)
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1010
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TF factor-bounds graph:
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250
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Last modified: 2022-02-14T13:49:41+00:00