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A180952 Primes such that p(i)+p(i+1)+p(i+2) is a prime when all addends are taken modulo 100. 0

%I #7 Mar 30 2012 17:35:08

%S 5,7,11,17,19,23,29,31,41,53,61,67,71,79,83,97,101,103,107,113,131,

%T 139,149,173,179,191,211,223,227,229,233,239,241,271,277,281,307,311,

%U 313,347,353,359,379,383,397,401,419,431,439,443,449,457,461,467,479,487

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

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

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

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

%K nonn,easy

%O 1,1

%A _Carmine Suriano_, Sep 27 2010

%E Program corrected by _Charles R Greathouse IV_, Feb 03 2011

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