is 2 6623423 - 1
has 1993849 decimal digits
takes 1.241 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L357DBA3DC3C6B861double-checked
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual272144.386668.0556 %3000000546417963081.679110.4747 %226.065771.4016 %
Target2674.486265.6716 %4000040000000.06952.0967 %4.555766.3914 %
Difference+5+139.9004+2.3839 %+2960000+5460179630+81.6096+8.3780%+221.5100+5.0102 %

Known prime factors:
No known factors for M6623423

P-1 results:
dateusercompB1B2BSstagefactordigitsbits*GHz-daysFac Prob
2001-06-30ANONYMOUSv4_computers30000217500--0.0111.345%
2001-10-27ANONYMOUSv4_computers35000455000--0.0161.746%
2012-07-04firejuggler8000013400006--0.0402.755%
2019-02-23takahashivaio25000044000006--0.1294.287%
2020-03-09takahashiasus2500000500000006--1.3838.318%
2023-12-14Sid & AndyCombat_Carl30000005464179630--99.714.813%


Trial Factoring results:
57585960616263646566676869707172
 BitsFactor
dateuseridcompidfromtofactorbits*digitsGHz-days
1998-07-29jburkelv4_computers212620.046
2003-11-28David Campeauv4_computers212630.148
2014-06-29NesowaManual testing2632640.296
2014-07-13lycornManual testing2642650.564
2015-11-05snme2pm1Manual testing2652661.128
2016-04-15Gordon SpenceManual testing2662672.256
2018-02-27ANONYMOUSManual testing2672684.513
2020-05-15TJAOIManual testing2682699.026
2021-05-07takahashiManual testing26927018.05
2021-08-16SRBaseManual testing27027136.10
2021-10-10SRBaseManual testing27127272.21


ECM factoring results:
Total ECM effort:1.710 GHz-days
Estimated T-Level:1.154
DigitsB1CompleteFacMiss
20110000.23179.392%
25500000.02197.887%
302500000.00199.865%


ECM Summary

B1B2factorcurvesGHz-days
50000500000061.710


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-03-26ANONYMOUSv4_computers0591F5958856D9151.241
1999-07-27ANONYMOUSv4_computers357DBA3DC3C6B8611.241
2000-03-15ANONYMOUSv4_computers357DBA3DC3C6B8611.241
2001-11-03ANONYMOUSv4_computers357DBA3DC3C6B8611.241


PRP results:
No PRP results for M6623423


CERT results:
No CERT results for M6623423


P-1 factor-bounds graph:
B1 = 3000000, B2 = 5464179630 (P-1 stage 2)
B1 = 2500000, B2 = 50000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 2500000 (P-1 stage 1)
B1 = 250000, B2 = 4400000 (P-1 stage 2)
B1 = 250000 (P-1 stage 1)
B1 = 80000, B2 = 1340000 (P-1 stage 2)
B1 = 80000 (P-1 stage 1)
B1 = 35000, B2 = 455000 (P-1 stage 2)
B1 = 30000, B2 = 217500 (P-1 stage 2)
B1 = 35000 (P-1 stage 1)
B1 = 30000 (P-1 stage 1)
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1010
TF factor-bounds graph:
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270
269
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267
266
265
264
263
262
this exponent TF target: 67
TF double-checked to: 67
ECM T-Level=1.15 ~= -13-bit
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Last modified: 2024-03-13T02:15:48+00:00