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A075889 Primes in A075888, as they appear. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 24 15:58 EDT 2022. Contains 356943 sequences. (Running on oeis4.)