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A120377 Primes of the form 2*11^n-1. 3

%I #12 Mar 15 2023 12:36:27

%S 241,428717761

%N Primes of the form 2*11^n-1.

%C See comments for A057472. Examined in base 12, all n must be even and all primes must be 1-primes. For example, 241 is 181 in base 12.

%C The n<1000 that yield primes are 2, 8, 248. - _T. D. Noe_, Nov 16 2006

%F a(n) = n-th number such that 2*11^k-1 that is prime for some k.

%F a(n) = 2*11^A120378(n)-1. - _R. J. Mathar_, Mar 06 2010

%e a(1)=241 since 2*11^2-1=241 is the first prime.

%p for w to 1 do for k from 1 to 2000 do n:=2*11^k-1; if isprime(n) then printf("%d, %d",k,n) fi od od;

%t Select[2*11^Range[1000]-1, PrimeQ] (* _T. D. Noe_, Nov 16 2006 *)

%Y Cf. A000043, A000668, A002957, A002959, A003307, A079363, A055558.

%K nonn,bref

%O 1,1

%A _Walter Kehowski_, Jun 28 2006

%E Corrected by _T. D. Noe_, Nov 16 2006

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Last modified April 25 06:49 EDT 2024. Contains 371964 sequences. (Running on oeis4.)