A115260 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, 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, 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, 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

Offset

1,1

Comments

Primes in the sequence A115259.

Links

Table of n, a(n) for n=1..102.

Example

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

Maple

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)]);

Crossrefs

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

Sequence in context: A238191 A004088 A126051 * A143950 A108534 A039706

Adjacent sequences: A115257 A115258 A115259 * A115261 A115262 A115263

Keyword

base,nonn

Author

Giorgio Balzarotti, Paolo P. Lava, Jan 20 2006

Status

approved