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Prime numbers in the sequence of the absolute difference of the sum of digits in odd positions and the sum of digits in even positions of prime numbers.
2

%I #5 Mar 13 2015 00:18:21

%S 2,3,5,7,2,7,2,3,3,2,5,2,5,2,2,3,5,7,3,3,2,2,3,3,7,5,2,3,7,2,2,5,2,5,

%T 3,3,5,7,7,5,2,5,13,3,2,3,5,3,2,7,2,5,5,7,13,3,5,2,2,7,13,3,2,3,5,17,

%U 7,13,5,3,7,17,13,7,3,7,7,2,3,5,5,2,2,7,3,3,7,2,3,7,2,3,7,2,5,5,3,2,7,3,5,7

%N Prime numbers in the sequence of the absolute difference of the sum of digits in odd positions and the sum of digits in even positions of prime numbers.

%C Primes in the sequence A115259.

%e a(37) = 3 because 37th prime = 157, (7+1) - 5 = 3, 3 is prime.

%p select(isprime,[seq(abs(sum(convert(ithprime(a),base,10)[2*i],i=1..nops(convert (ithprime(a),base,10))/2)-sum(convert(ithprime(a),base,10)[2*i+1],i=0..(nops (convert(ithprime(a),base,10))-1)/2)),a=1..N)]);

%Y Cf. A040997, A005017, A063792, A087593, A042939, A041000, A040164, A115259, A115261.

%K base,nonn

%O 1,1

%A _Giorgio Balzarotti_, _Paolo P. Lava_, Jan 20 2006