is 2 7160623 - 1
has 2155563 decimal digits
takes 1.561 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L7E5FE6700F03997Fdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272133.554568.0556%33000008474534250146.972211.1248%280.526771.6093%
Target2674.149665.6716%4500010000000.03072.3084%4.180366.4641%
Difference+5+129.4049+2.3839%+3255000+8473534250+146.9415+8.8164%+276.3464+5.1452%

Known prime factors (1 factor, 127.9 bits, 0.00178573% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
716062331076830462370493335212655958597626677739127.86921699809124408932948440838149556
22 × 67 × 263 × 379 × 2473 × 345607 × 3126293 × 304011377
2023-01-1531262933040113772.630e+106.17169.781

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-11-24ANONYMOUSv4_computers3500035000---0.011--0.267%
2012-01-04Carsten Kossendeymother45500013991250---0.377--3.572%
2023-01-15DRobinsonPE5600G3300000847453425039127.869147.03.123293.911.125%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-09-13ANONYMOUSv4_computers21262--0.086--
2001-11-24ANONYMOUSv4_computers21263--0.223--
2014-02-02NesowaManual testing263264--0.274--
2014-02-05lycornManual testing264265--0.522--
2015-06-21VictordeHollanderManual testing265266--1.044--
2016-10-26Gordon SpenceManual testing266267--2.087--
2018-07-27ramgeisManual testing267268--4.174--
2020-05-15TJAOIManual testing268269--8.349--
2021-08-19SRBaseManual testing269270--16.70--
2021-09-01SRBaseManual testing270271--33.39--
2021-09-28SRBaseManual testing271272--66.79--


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)
1999-04-23ANONYMOUSv4_computers4F3D38234F354A__1.561
2000-01-04ANONYMOUSv4_computers7E5FE6700F03997F1.561
2001-12-22ANONYMOUSv4_computers7E5FE6700F03997F1.561
2003-10-08ANONYMOUSv4_computers7E5FE6700F03997F1.561


PRP results:
dateuseridcompidcofactorsres64PRP
2023-01-20Perigbragoid
310768304623704933352126559585976266777
D6DB53DB9B4FC80Ano


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
104
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
2130
Last modified: 2023-01-20T19:08:07+00:00