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A298699 Primes of the form A132583(k)*42 - 43. 0

%I #87 Jan 06 2020 21:23:18

%S 419,5039,51239,513239,5133239,51333239,5133333333333239,

%T 513333333333333239,5133333333333333333239,5133333333333333333333239,

%U 513333333333333333333333239,513333333333333333333333333333333333333333333333239

%N Primes of the form A132583(k)*42 - 43.

%C The corresponding values of k are 0, 1, 2, 3, 4, 5, 13, 15, 19, 22, 24, 48, 59, 187, 215, 232. - _Bruno Berselli_, Jan 29 2018

%C Further values of k (below 4000): 394, 441, 506, 541, 569, 1456, 2136, 3510. - _Daniel Starodubtsev_, Jan 05 2020

%e 5039 is prime and 5039 = 121*42 - 43, hence it is in the sequence.

%e 51239 is prime and 51239 = 1221*42 - 43, hence it is in the sequence.

%e 513333239 = 12222221*42 - 43 = 61*1747*4817 is not prime, therefore it is not in the sequence.

%t Select[42 NestList[10 # + 11 &, 11, 50] - 43, PrimeQ] (* _Michael De Vlieger_, Feb 01 2018, after _Harvey P. Dale_ at A132583 *)

%Y Cf. A003020, A132583.

%K nonn,base,less,more

%O 1,1

%A _Paolo Galliani_, Jan 27 2018

%E a(8)-a(12) from _Bruno Berselli_, Jan 29 2018

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Last modified April 25 11:39 EDT 2024. Contains 371969 sequences. (Running on oeis4.)