is 2 6934621 - 1
has 2087529 decimal digits
takes 1.512 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
factored, 0 LL tests remaining
ResidueStatus
L-L8BB9122F394FFBF1double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.907168.0556%20000002588493605.05696.9793%142.964170.2851%
Target2674.284965.6716%4500072000000.13752.2371%4.422366.4396%
Difference+5+133.6223+2.3839%+1955000+251649360+4.9195+4.7423%+138.5417+3.8455%

Known prime factors (1 factor, 75.4 bits, 0.00108734% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
6934621499396488403280932291512375.4033600748248558075
32 × 52 × 31 × 26497 × 19482821
2021-12-0626497194828211,250.30.34350.6268

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-31ANONYMOUSv4_computers35000516250---0.019--0.908%
2002-02-03ANONYMOUSv4_computers35000341250---0.016--0.799%
2012-08-17NesowaEPC850001508750---0.051--1.565%
2019-04-30takahashivaio30000050000006---0.176--2.683%
2021-06-02Dylan DelgadoManual testing6300001890000012---0.514--3.948%
2021-12-06Seth_TrManual testing20000002588493602375.4035.0573.02410.116.979%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21ANONYMOUSv4_computers21262--0.089--
2005-03-06ANONYMOUSv4_computers21263--0.230--
2014-02-09NesowaManual testing263264--0.283--
2014-02-16lycornManual testing264265--0.539--
2015-06-26VictordeHollanderManual testing265266--1.078--
2016-04-03Gordon SpenceManual testing266267--2.155--
2018-02-27-Anonymous-Manual testing267268--4.310--
2020-05-01TJAOIManual testing268269--8.621--
2021-07-24takahashiManual testing269270--17.24--
2021-08-11SRBaseManual testing270271--34.48--
2021-09-26SRBaseManual testing271272--68.97--


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)
1999-03-15ANONYMOUSv4_computers194C3898A40032__1.512
1999-06-26netconxv4_computers8BB9122F394FFBF11.512
2002-03-31ANONYMOUSv4_computers8BB9122F394FFBF11.512


PRP results:
dateuseridcompidcofactorsres64PRP
2021-12-14LaurVbc2nb
49939648840328093229151
FB2E1447FCBE4635no


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (P-1 stage 1)
B1 = 630000, B2 = 18900000 (P-1 stage 2)
B1 = 630000 (P-1 stage 1)
B1 = 300000, B2 = 5000000 (P-1 stage 2)
B1 = 300000 (P-1 stage 1)
B1 = 85000, B2 = 1508750 (P-1 stage 2)
B1 = 85000 (P-1 stage 1)
B1 = 35000, B2 = 516250 (P-1 stage 2)
B1 = 35000, B2 = 341250 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
103
104
105
106
107
103
104
105
106
107
108
109
TF factor-bounds graph:
272
271
270
269
268
267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67.8
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
Last modified: 2023-06-05T21:50:05+00:00