is 2 5277163 - 1
has 1588585 decimal digits
takes 0.833 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L77635D9B8C40056Ddouble-checked
PRP9B033053F2A24251PRP-tested

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272181.221268.0556%8000000400684977051.719210.8646%232.940371.5262%3.4706%
PrimeNet2620.116462.9032%220005000000.01103.0103%0.127464.0199%1.1167%
GPU722662.798665.1515%300006000000.01401.9923%2.812565.8458%0.6943%
Difference+6+178.4226+2.9040%+7970000+4006249770+51.7052+8.8723%+230.1278+5.6804%+2.7763%

Known prime factors (1 factor, 128.6 bits, 0.00243610% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
527716350057502521760686119603632055240110059339128.55747428421788147046168181305045192
23 × 13 × 17 × 4441 × 117851 × 148517 × 234727 × 1470290501
2021-12-1823472714702905013.594e+1018.39334.259

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2009-08-24T04:25:00Carsten Kossendeyleela25000337500---0.010--0.674%
2010-07-19T10:49:00Squeeky_SquirrelP4_260060000975000---0.025--1.216%
2019-06-29T12:03:51harleei5-5250U_1600315000929250012---0.184--2.983%
2021-10-05T14:29:28axnManual testing8000000400000000---6.722--8.171%
2021-12-17T22:22:15axnManual testing8000000400684977039128.55751.721.667103.410.865%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-05-08T00:00:00Mark Dv4_computers21261--0.058--
1999-04-13T00:00:00Mark Dv4_computers21261--0.058--
1998-05-08T00:00:00slaurv4_computers21262--0.116--
2009-06-04T14:54:00GrunwalderGIMPManual testing262263--0.186--
2014-12-22T00:49:00VictordeHollanderManual testing263264--0.372--
2014-12-22T00:49:00VictordeHollanderManual testing264265--0.708--
2015-01-31T17:21:00mognutsManual testing265266--1.416--
2016-06-07T12:27:04Gordon SpenceManual testing266267--2.832--
2018-06-17T22:03:12ramgeisManual testing267268--5.664--
2020-10-26T10:35:11TJAOIManual testing268269--11.33--
2021-08-18T05:53:22SRBaseManual testing269270--22.66--
2021-08-31T20:26:04SRBaseManual testing270271--45.31--
2021-10-10T08:42:54SRBaseManual testing271272--90.63--


ECM factoring results:
Total ECM effort:2.161 GHz-days
Estimated T-Level:1.731
DigitsB1CompleteFacMiss
20110000.34670.740%
25500000.03296.848%
302500000.00299.798%


ECM Summary

B1B2factorcurvesGHz-days
50000500000092.161


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1998-12-21T00:00:00ANONYMOUSv4_computers7391B984E1DFB4__0.833
1999-09-22T00:00:00ANONYMOUSv4_computers77635D9B8C40056D0.833
1999-12-23T00:00:00ANONYMOUSv4_computers77635D9B8C40056D0.833
2000-02-01T00:00:00ANONYMOUSv4_computers77635D9B8C40056D0.833
2000-04-27T00:00:00ANONYMOUSv4_computers77635D9B8C40056D0.833
2000-08-31T00:00:00ANONYMOUSv4_computers77635D9B8C40056D0.833
2000-10-22T00:00:00ANONYMOUSv4_computers77635D9B8C40056D0.833


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-18T05:10:52Tucker KaoOld_Timer_2013
500575025217606861196036320552401100593
9B033053F2A24251no


P-1 factor-bounds graph:
B1 = 8000000, B2 = 4006849770 (P-1 stage 2)
B1 = 8000000, B2 = 400000000 (P-1 stage 2)
B1 = 8000000 (P-1 stage 1)
B1 = 315000, B2 = 9292500 (P-1 stage 2)
B1 = 315000 (P-1 stage 1)
B1 = 60000, B2 = 975000 (P-1 stage 2)
B1 = 60000 (P-1 stage 1)
B1 = 25000, B2 = 337500 (P-1 stage 2)
B1 = 25000 (P-1 stage 1)
103
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105
106
107
103
104
105
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109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
261
250
260
270
280
290
2100
2110
2120
2130
Last modified: 2021-12-18T05:10:52+00:00