A180952 Primes such that p(i)+p(i+1)+p(i+2) is a prime when all addends are taken modulo 100.

5, 7, 11, 17, 19, 23, 29, 31, 41, 53, 61, 67, 71, 79, 83, 97, 101, 103, 107, 113, 131, 139, 149, 173, 179, 191, 211, 223, 227, 229, 233, 239, 241, 271, 277, 281, 307, 311, 313, 347, 353, 359, 379, 383, 397, 401, 419, 431, 439, 443, 449, 457, 461, 467, 479, 487

Offset

1,1

Comments

Also the sequence of smallest primes such that the sum of the last two digits of three consecutive primes is a prime.

Links

Table of n, a(n) for n=1..56.

Example

a(16)=97 since 97 (mod 100)+101 (mod 100)+103 (mod 100)=97+1+3=101 is a prime.

Prog

(PARI) isA180952(n) = isprime(n) && isprime(n%100+(n=nextprime(n+1))%100 + nextprime(n+1)%100)

Crossrefs

Sequence in context: A111226 A168224 A084197 * A073681 A364867 A155772

Adjacent sequences: A180949 A180950 A180951 * A180953 A180954 A180955

Keyword

nonn,easy

Author

Carmine Suriano, Sep 27 2010

Extensions

Program corrected by Charles R Greathouse IV, Feb 03 2011

Status

approved