A180951 Primes such that p(i)+p(i+1)+p(i+2) is a prime when all addends are taken modulo 10.

5, 7, 11, 13, 17, 23, 29, 37, 41, 43, 47, 53, 59, 67, 71, 83, 89, 97, 101, 103, 107, 109, 113, 131, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 233, 239, 251, 257, 263, 269, 277, 281, 283, 293, 307, 311, 313, 337, 347, 353

Offset

1,1

Comments

Is also the sum of last digit of three consecutive primes resulting in a prime.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

a(5)=17 since 17 (mod10)+ 19 (mod 10)+ 23 (mod 10)= 7+9+3=19 is a prime.

Mathematica

Transpose[Select[Partition[Prime[Range[100]], 3, 1], PrimeQ[ Total[ Mod[ #, 10]]]&]] [[1]] (* Harvey P. Dale, Oct 20 2014 *)

Crossrefs

Cf. A000040

Sequence in context: A216741 A290507 A139812 * A040146 A243593 A015914

Adjacent sequences: A180948 A180949 A180950 * A180952 A180953 A180954

Keyword

nonn

Author

Carmine Suriano, Sep 27 2010

Status

approved