A075889 Primes in A075888, as they appear.

3, 2, 5, 3, 7, 13, 5, 17, 13, 7, 23, 43, 17, 37, 43, 67, 23, 127, 137, 47, 103, 167, 127, 193, 223, 163, 167, 283, 103, 107, 257, 137, 293, 313, 487, 337, 563, 613, 617, 643, 647, 433, 773, 523, 283, 313, 1033, 347, 373, 757, 1187, 397, 1193, 797, 1277, 443

Offset

1,1

Comments

Previous name was: Prime differences of successive primes squared divided by 24, (prime(n+1)^2-prime(n)^2)/24.

For n>=3, prime(n+1)^2-prime(n)^2 is always divisible by 24 and for many n's (prime(n+1)^2-prime(n)^2)/24 is prime.

Subsequence of primes of A075888. - Michel Marcus, Oct 03 2013

Links

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

Example

a(1)=3 because 3 is the first prime value obtained for (prime(n+1)^2-prime(n)^2)/24 and n=5; next prime value is a(2)=2 and corresponds to n=6.

Prog

(PARI) lista(nn) = {pr = primes(nn); for (n = 4, #pr, if (isprime(q = (pr[n]^2 - pr[n-1]^2)/24), print1(q, ", ")); ); } \\ Michel Marcus, Oct 03 2013

Crossrefs

Sequence in context: A107128 A086670 A075888 * A181771 A238628 A045766

Adjacent sequences: A075886 A075887 A075888 * A075890 A075891 A075892

Keyword

easy,nonn

Author

Zak Seidov, Oct 17 2002

Extensions

New name from Michel Marcus, Oct 05 2013

Status

approved