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A158791 Numbers n such that 30*n + 23 is prime. 8

%I #10 Feb 17 2017 16:48:18

%S 0,1,2,3,5,7,8,9,11,12,14,16,18,19,21,22,24,25,28,31,32,33,36,38,39,

%T 40,42,45,47,49,50,51,52,53,57,60,63,65,66,68,71,73,74,75,77,79,80,84,

%U 87,88,89,91,94,96,98,100,102,106,110,113,117,119,120,126,127,128,130,133

%N Numbers n such that 30*n + 23 is prime.

%C Encoded primes with LSD 3 and (SOD-1)/3 non-integer, (LSD, least significant digit; SOD, sum of digits). Divide any such number by 30, if the whole number portion of the quotient is in the sequence, the number is prime.

%F a(n) = (A132235(n) - 23)/30 = Floor[A132235(n)/30]. - Chandler

%e Example: 3623, with LSD 3 and (SOD-1)/3 non-integer; Then 3623/30 = 120.766, or 120, which is in the sequence, thus 3623 is prime.

%t Select[Range[0,200],PrimeQ[30#+23]&] (* _Harvey P. Dale_, Jul 31 2014 *)

%o (PARI) is(n)=isprime(30*n+23) \\ _Charles R Greathouse IV_, Feb 17 2017

%Y Cf. A111175, A158573, A158614, A158648, A158746, A158806, A158850.

%K nonn

%O 1,3

%A _Ki Punches_, Mar 26 2009

%E Edited by _Ray Chandler_, Apr 07 2009

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Last modified April 18 13:29 EDT 2024. Contains 371780 sequences. (Running on oeis4.)