is 2 7164019 - 1
has 2156585 decimal digits
takes 1.562 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L105DAE33D3B11D38double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual272133.491268.0556%33000008474534250146.972211.1253%280.463471.6095%3.5539%
Target2674.147765.6716%4500010000000.03072.3086%4.178366.4641%0.7925%
Difference+5+129.3436+2.3839%+3255000+8473534250+146.9415+8.8167%+276.2851+5.1453%+2.7614%

Known prime factors (1 factor, 133.1 bits, 0.00185767% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
71640191153928223828559588049886324795943228883341133.084805363737748713109254656028128864
25 × 11 × 17 × 43 × 157 × 373 × 18119 × 260191 × 408809 × 27731707
2023-01-18408809277317071.929e+100.59990.8922

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-11-17T00:00:00Toddv4_computers3500035000---0.011--0.267%
2012-01-06T07:23:00Carsten Kossendeymother45500013991250---0.377--3.573%
2023-01-18T16:31:13DRobinsonPE5600G3300000847453425041133.084147.03.124293.911.125%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-06-07T00:00:00Gregv4_computers21262--0.086--
2001-11-17T00:00:00Toddv4_computers21263--0.223--
2014-02-02T23:33:00NesowaManual testing263264--0.274--
2014-02-05T14:20:00lycornManual testing264265--0.522--
2015-06-21T19:55:00VictordeHollanderManual testing265266--1.043--
2016-10-26T02:31:59Gordon SpenceManual testing266267--2.086--
2018-07-27T10:29:02ramgeisManual testing267268--4.172--
2020-05-15T09:09:02TJAOIManual testing268269--8.345--
2021-08-19T16:18:00SRBaseManual testing269270--16.69--
2021-08-31T20:29:13SRBaseManual testing270271--33.38--
2021-10-13T15:08:14SRBaseManual testing271272--66.76--


ECM factoring results:
Total ECM effort:1.989 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.989


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-10-29T00:00:00Mats Dahlgrenv4_computers105DAE33D3B11D381.562
2001-12-08T00:00:00Toddv4_computers105DAE33D3B11D381.562


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-24T06:06:44Perigbruinneall
11539282238285595880498863247959432288833
6BDDA00972C15A34no


P-1 factor-bounds graph:
B1 = 3300000, B2 = 8474534250 (P-1 stage 2)
B1 = 3300000 (P-1 stage 1)
B1 = 455000, B2 = 13991250 (P-1 stage 2)
B1 = 455000 (P-1 stage 1)
B1 = 35000 (P-1 stage 1)
103
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105
106
107
103
104
105
106
107
108
109
1010
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
250
260
270
280
290
2100
2110
2120
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2140
Last modified: 2023-01-24T06:06:44+00:00