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

Author

Zak Seidov, Oct 17 2002

Keywords

• easy
• nonn

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

Examples

			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.
		

Programs

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

Extensions

New name from Michel Marcus, Oct 05 2013