

A110801


Numbers n such that 12n + 1 is prime.


11



1, 3, 5, 6, 8, 9, 13, 15, 16, 19, 20, 23, 26, 28, 29, 31, 33, 34, 35, 36, 38, 45, 48, 50, 51, 55, 56, 59, 61, 63, 64, 69, 71, 73, 78, 83, 84, 85, 86, 89, 91, 93, 94, 96, 100, 101, 103, 104, 108, 110, 115, 119, 121, 124, 129, 133, 134, 135, 138, 139, 141, 145, 146, 148
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OFFSET

1,2


COMMENTS

Corresponds to even numbers in A024898.  Michael B. Porter, Oct 27 2009
Solutions of the equation (12*n+1)'=1, where n' is the arithmetic derivative of n.  Paolo P. Lava, Jan 03 2013


LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000


EXAMPLE

If n=96 then 12*n + 1 = 1153 (prime).


MATHEMATICA

a={}; Do[x=12*n+1; If[PrimeQ[x], AppendTo[a, n]], {n, 10^2}]; a (* Vladimir Joseph Stephan Orlovsky, Apr 29 2008 *)
Select[Range[150], PrimeQ[12#+1]&] (* Harvey P. Dale, Jul 17 2018 *)


PROG

(MAGMA) [ n: n in [1..150]  IsPrime(12*n+1) ]; // Klaus Brockhaus, Jan 02 2009
(PARI) isA110801(n) = isprime(12*n+1) \\ Michael B. Porter, Oct 27 2009


CROSSREFS

Cf. A167055, A167056, A167057, A024898; primes are in A068228.  Michael B. Porter, Oct 27 2009
Sequence in context: A278996 A099441 A129359 * A078339 A174805 A183872
Adjacent sequences: A110798 A110799 A110800 * A110802 A110803 A110804


KEYWORD

nonn


AUTHOR

Parthasarathy Nambi, Oct 20 2005


EXTENSIONS

More terms from Klaus Brockhaus, Jan 02 2009


STATUS

approved



