is 2 6920041 - 1
has 2083140 decimal digits
takes 1.509 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L2982197480A776BAdouble-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272138.197768.0556%40000004567054809.06328.0779%147.260970.6360%
Target2674.293965.6716%4500072000000.13752.2363%4.431466.4393%
Difference+5+133.9038+2.3839%+3955000+449505480+8.9257+5.8416%+142.8295+4.1967%

Known prime factors:
No known factors for M6920041

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2001-08-31REThernv4_computers2500087500---0.009--0.431%
2001-11-10REThernv4_computers2500087500---0.009--0.431%
2001-11-14REThernv4_computers2500087500---0.009--0.431%
2003-06-17REThernv4_computers2500087500---0.009--0.431%
2011-07-12Carsten Kossendeyleela44000013310000---0.361--3.505%
2021-06-02Dylan DelgadoManual testing6300001890000012---0.514--3.947%
2021-11-29Seth_TrManual testing4000000456705480---9.063--8.078%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
1998-10-18ANONYMOUSv4_computers21262--0.089--
2004-10-03ANONYMOUSv4_computers21263--0.231--
2014-02-09NesowaManual testing263264--0.284--
2014-02-17lycornManual testing264265--0.540--
2015-06-26VictordeHollanderManual testing265266--1.080--
2016-04-02Gordon SpenceManual testing266267--2.160--
2018-02-27-Anonymous-Manual testing267268--4.319--
2019-12-01mnd9Manual testing268269--8.639--
2021-07-18takahashiManual testing269270--17.28--
2021-08-11SRBaseManual testing270271--34.56--
2021-09-25SRBaseManual testing271272--69.11--


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)
1999-07-12ANONYMOUSv4_computers2982197480A776BA1.509
2000-01-25ANONYMOUSv4_computers2982197480A776BA1.509
2000-02-01ANONYMOUSv4_computers2982197480A776BA1.509
2001-12-01REThernv4_computers2982197480A776BA1.509
2003-06-17REThernv4_computers2982197480A776BA1.509


PRP results:
No PRP results for M6920041


P-1 factor-bounds graph:
B1 = 4000000, B2 = 456705480 (P-1 stage 2)
B1 = 4000000 (P-1 stage 1)
B1 = 630000, B2 = 18900000 (P-1 stage 2)
B1 = 440000, B2 = 13310000 (P-1 stage 2)
B1 = 630000 (P-1 stage 1)
B1 = 440000 (P-1 stage 1)
B1 = 25000, B2 = 87500 (P-1 stage 2)
B1 = 25000 (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