

A102338


Numbers n such that 10n+3 is prime.


9



0, 1, 2, 4, 5, 7, 8, 10, 11, 16, 17, 19, 22, 23, 26, 28, 29, 31, 35, 37, 38, 43, 44, 46, 50, 52, 56, 59, 61, 64, 65, 67, 68, 73, 74, 77, 82, 85, 86, 88, 95, 98, 101, 103, 106, 109, 110, 112, 115, 116, 119, 121, 122, 128, 130, 137, 142, 143, 145, 148, 149, 152, 154, 155
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OFFSET

1,3


COMMENTS

Solutions of the equation (10*n+3)'=1, where n' is the arithmetic derivative of n. [Paolo P. Lava, Nov 15 2012]


LINKS

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000


EXAMPLE

If n=1, then 10n+3 = 13 (prime).
If n=26, then 10n+3 = 263 (prime).
If n=50, then 10n+3 = 503 (prime).


MATHEMATICA

Select[Range[0, 160], PrimeQ[10# + 3] &] (* Ray Chandler, Nov 07 2006 *)


PROG

(MAGMA) [n: n in [0..1000] IsPrime(10*n+3)]; // Vincenzo Librandi, Apr 06 2011
(PARI) isok(n) = isprime(10*n+3); \\ Michel Marcus, Sep 08 2016


CROSSREFS

Cf. A023238 (subsequence of primes), A030431, A049508.
Sequence in context: A190849 A277121 A325112 * A285401 A139449 A204399
Adjacent sequences: A102335 A102336 A102337 * A102339 A102340 A102341


KEYWORD

nonn


AUTHOR

Parthasarathy Nambi, Feb 20 2005


EXTENSIONS

Edited and extended by Ray Chandler, Nov 07 2006


STATUS

approved



