is 2 6978319 - 1
has 2100684 decimal digits
takes 1.522 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L5F92B9D0188871E9double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.043668.0556%40000001100000003.09076.5362%140.134370.1435%
Target2674.258065.6716%4500045000000.09102.2394%4.349066.4404%
Difference+5+132.7855+2.3839%+3955000+105500000+2.9997+4.2968%+135.7853+3.7031%

Known prime factors:
No known factors for M6978319

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-16ANONYMOUSv4_computers35000288750---0.015--0.757%
2011-12-12James HeinrichQ66001350002835000---0.089--2.034%
2020-01-30takahashivaio6000001200000012---0.386--3.585%
2021-11-23Seth_TrManual testing400000011000000012---3.091--6.536%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-21ANONYMOUSv4_computers21262--0.088--
2005-08-16ANONYMOUSv4_computers21263--0.229--
2014-02-09NesowaManual testing263264--0.281--
2014-02-15lycornManual testing264265--0.535--
2015-07-03VictordeHollanderManual testing265266--1.071--
2016-04-26Gordon SpenceManual testing266267--2.142--
2018-02-27-Anonymous-Manual testing267268--4.283--
2020-04-24TJAOIManual testing268269--8.567--
2021-08-09takahashiManual testing269270--17.13--
2021-09-06SRBaseManual testing270271--34.27--
2021-09-25SRBaseManual testing271272--68.53--


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)
1999-04-02ANONYMOUSv4_computers96C868C0E9E075__1.522
1999-05-30Stephen Woodv4_computers5F92B9D0188871E91.522
2001-11-03ANONYMOUSv4_computers5F92B9D0188871E91.522


PRP results:
No PRP results for M6978319


P-1 factor-bounds graph:
B1 = 4000000, B2 = 110000000 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 600000, B2 = 12000000 (P-1 stage 2)
B1 = 600000 (P-1 stage 1)
B1 = 135000, B2 = 2835000 (P-1 stage 2)
B1 = 135000 (P-1 stage 1)
B1 = 35000, B2 = 288750 (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: 67.9
ECM T-Level=1.15 ~= -13-bit
250
260
270
280
JSON version of this page
Last modified: 2023-10-02T12:12:48+00:00