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A340509 a(n) = 3*A005382(n)-1. 0

%I #16 Feb 25 2022 19:34:14

%S 5,8,20,56,92,110,236,290,416,470,596,632,686,812,920,992,1010,1100,

%T 1136,1316,1496,1640,1730,1802,1820,1856,1982,2072,2180,2432,2486,

%U 2630,2810,2900,2990,3026,3206,3512,3710,3836,3890,4196,4286,4376,4592,4826,4880,4970,5276,5600

%N a(n) = 3*A005382(n)-1.

%C These are the numbers b(n) + 2*b(n)-1, where b is A005382, and so form a potentially infinite sequence of numbers which are the sum of two primes. An analog of A175666.

%F a(n) = A005383(n) + A005382(n). - _Wesley Ivan Hurt_, Feb 22 2022

%p q:= p-> isprime(2*p-1):

%p map(x-> 3*x-1, select(q, [ithprime(i)$i=1..300]))[]; # _Alois P. Heinz_, Jan 27 2021

%t Select[Range[5600], And @@ PrimeQ[{# + 1, 2*# - 1}/3] &] (* _Amiram Eldar_, Jan 27 2021 *)

%Y Cf. A005382, A005383, A005384, A175666.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Jan 27 2021, following a suggestion from _Des MacHale_.

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Last modified August 22 15:37 EDT 2024. Contains 375369 sequences. (Running on oeis4.)