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A075889 Primes in A075888, as they appear. 1


%S 3,2,5,3,7,13,5,17,13,7,23,43,17,37,43,67,23,127,137,47,103,167,127,

%T 193,223,163,167,283,103,107,257,137,293,313,487,337,563,613,617,643,

%U 647,433,773,523,283,313,1033,347,373,757,1187,397,1193,797,1277,443

%N Primes in A075888, as they appear.

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

%C 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.

%C Subsequence of primes of A075888. - _Michel Marcus_, Oct 03 2013

%e 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.

%o (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

%K easy,nonn

%O 1,1

%A _Zak Seidov_, Oct 17 2002

%E New name from _Michel Marcus_, Oct 05 2013

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Last modified December 9 13:46 EST 2022. Contains 358700 sequences. (Running on oeis4.)