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A108055 Numbers n such that 1_100.2_200.3_300 ... 8_800.9_900.10^n+1 is prime, i.e. 1 repeated 100 times, concatenated with 2 repeated 200 times etc. +0
1
2395, 3980, 4584, 9073, 12115 (list; graph; listen)
OFFSET

1,1

COMMENT

These are "subscript" primes, similar to those listed in Table 30 of the Primal Configurations document. All have been proved prime. Primality proof for the largest (16615 digits): PFGW Version 20041001.Win_Stable (v1.2 RC1b) [FFT v23.8] Primality testing (r(100,1)*10^4400+r(200,2)*10^4200+r(300,3)*10^3900+r(400,4)*10^3500+r(500,5)*10^3000+r(600,6)*10^2400+r(700,7)*10^1700+r(800,8)*10^900+r(900,9))*10^12115+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Calling Brillhart-Lehmer-Selfridge with factored part 50.97% (r(100,1)*10^4400+r(200,2)*10^4200+r(300,3)*10^3900+r(400,4)*10^3500+r(500,5)*10^3000+r(600,6)*10^2400+r(700,7)*10^1700+r(800,8)*10^900+r(900,9))*10^12115+1 is prime! (46.2683s+0.0076s)

LINKS

R. Ondrejka, The Top Ten: a Catalogue of Primal Configurations.

CROSSREFS

Cf. A106488.

Sequence in context: A100974 A098680 A115931 this_sequence A043420 A005073 A018865

Adjacent sequences: A108052 A108053 A108054 this_sequence A108056 A108057 A108058

KEYWORD

base,nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), Jun 02 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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