is 2 6970013 - 1
has 2098183 decimal digits
takes 1.520 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L4114C75DBFA2419Adouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272137.206968.0556%20000002588493605.05696.9830%142.263870.2862%
Target2674.263165.6716%4500072000000.13752.2389%4.400666.4402%
Difference+5+132.9438+2.3839%+1955000+251649360+4.9195+4.7440%+137.8632+3.8460%

Known prime factors:
No known factors for M6970013

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-09-16ANONYMOUSv4_computers35000341250---0.016--0.799%
2011-12-11James HeinrichQ66001350002835000---0.089--2.034%
2020-01-27takahashivaio6000001200000012---0.386--3.585%
2021-12-07Seth_TrManual testing2000000258849360---5.057--6.983%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-07-11ANONYMOUSv4_computers21262--0.088--
2005-08-01ANONYMOUSv4_computers21263--0.229--
2014-02-09NesowaManual testing263264--0.282--
2014-02-14lycornManual testing264265--0.536--
2015-07-03VictordeHollanderManual testing265266--1.072--
2016-04-25Gordon SpenceManual testing266267--2.144--
2018-02-27-Anonymous-Manual testing267268--4.289--
2020-04-24TJAOIManual testing268269--8.577--
2021-08-07takahashiManual testing269270--17.15--
2021-09-08SRBaseManual testing270271--34.31--
2021-09-25SRBaseManual testing271272--68.62--


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_computers98BEEDFCD30CA8__1.520
1999-06-15ANONYMOUSv4_computers4114C75DBFA2419A1.520
2002-04-07ANONYMOUSv4_computers4114C75DBFA2419A1.520


PRP results:
No PRP results for M6970013


P-1 factor-bounds graph:
B1 = 2000000, B2 = 258849360 (P-1 stage 2)
B1 = 2000000 (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 = 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