is 2 471041 - 1
has 141798 decimal digits
takes 0.006 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
-unknown- primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26763.081471.6418%30000001000000000.14157.2344%63.222973.6933%2.0516%
PrimeNet2400.000052.5000%45001600000.000218.6393%0.000261.3537%8.8537%
GPU722440.000056.8182%80002600000.000413.9183%0.000462.8283%6.0102%
Difference+23+63.0814+14.8236%+2992000+99740000+0.1411-6.6838%+63.2225+10.8650%+10.8650%

Known prime factors (3 factors, 211.7 bits, 0.04494367% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
47104154865196651317760711962.2515823823897635
3 × 5 × 388254926509
2007-08-1753882549265091.7441361.25674.71
47104122990001940699648132232270.9612440339794274771
137 × 2383141 × 7474463
2014-11-2723831417474463939.230.04540.0828
4710414247740536175399107824712478.491450888620754392835
3 × 5 × 7 × 3041 × 1412093831147
2018-02-0230411412093831147245,1521,313.92,454.0

4 Composite Factors:
exponentprime factorscomposite factordigitsbits*
4710411261350977490663154640881899248977578683341133.212
471041233053119841037216527883542492081956405144143140.742
47104197655563170260989401497128813401766729741403345149.453
47104153578916774315532795953987490366884186127992653424
97354729004343
64211.703
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2002-06-23T00:00:00ANONYMOUSv4_computers327683276800---0.004--1.739%
2002-09-14T00:00:00ANONYMOUSv4_computers655366553600---0.007--2.472%
2003-04-27T00:00:00ANONYMOUSv4_computers13107213107200---0.014--3.332%
2014-11-27T16:13:00alpertronManual testing3000000100000000122270.9610.1410.0110.2837.234%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2000-04-19T00:00:00ANONYMOUSv4_computers21254--0.005--
2022-03-07T07:41:18LordJuliusManual testing254255--0.005--
2001-03-25T00:00:00ANONYMOUSv4_computers21256--0.020--
2002-01-28T00:00:00ANONYMOUSv4_computers21257--0.041--
2004-01-07T00:00:00ANONYMOUSv4_computers21258--0.082--


ECM factoring results:

Old Calculation Method

Total ECM effort:12.928 GHz-days
Estimated T-Level:26.125
DigitsB1CurvesCompleteFacMiss
2011000425 / 1004.2501.396%
2550000425 / 2801.51821.859%
30250000144 / 6400.22579.838%

New Calculation Method

Total ECM effort:12.928 GHz-days
Estimated T-Level:26.125
DigitsB1CompleteFacMiss
201100023.8990.000%
25500003.0284.840%
302500000.28775.049%
3510000000.02297.832%
4030000000.00199.860%


ECM Summary

B1B2factorcurvesGHz-days
10.00000e+0
5000050000002813.629
250000250000001348.653
25000025000000100.646


Lucas-Lehmer results:
No L-L results for M471041


PRP results:
dateuseridcompidcofactorsres64PRP
2017-09-26T00:25:58Oliver KruseDoppelherz
5486519665131776071
2299000194069964813223
164C539D5C34AFF8no
2017-09-27T07:35:17Oliver KruseManual testing
5486519665131776071
2299000194069964813223
164C539D5C34AF__no
2017-10-13T10:10:13Oliver KruseThreadripper164C539D5C34AF__no
2017-12-16T19:25:55ATHxps
5486519665131776071
2299000194069964813223
164C539D5C34AF__no
2018-02-02T21:20:18MaximeGMSI_GS63VR
5486519665131776071
2299000194069964813223
424774053617539910782471
930A1944D96848__no
2018-02-03T17:29:53treborLaptop
5486519665131776071
2299000194069964813223
424774053617539910782471
930A1944D96848__no


P-1 factor-bounds graph:
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 131072, B2 = 13107200 (P-1 stage 2)
B1 = 65536, B2 = 6553600 (P-1 stage 2)
B1 = 32768, B2 = 3276800 (P-1 stage 2)
B1 = 131072 (P-1 stage 1)
B1 = 65536 (P-1 stage 1)
B1 = 32768 (P-1 stage 1)
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TF factor-bounds graph:
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Last modified: 2022-03-07T07:41:18+00:00