A094124 First prime in prime(p) - n, where p is prime and n is even.

3, 7, 5, 3, 7, 5, 3, 43, 13, 11, 19, 7, 5, 3, 11, 179, 7, 5, 3, 19, 17, 23, 13, 11, 17, 7, 5, 3, 373, 7, 5, 3, 17, 41, 13, 11, 53, 7, 5, 3, 97, 43, 23, 103, 19, 17, 97, 13, 11, 79, 7, 5, 3, 19, 17, 67, 13, 11, 61, 7, 5, 3, 31, 29, 61, 47, 23, 43, 19, 17, 37, 13, 11, 31, 7, 5, 3, 23, 53

Offset

2,1

Comments

Conjecture: This sequence, extended to infinity, contains all odd primes.

Links

Table of n, a(n) for n=2..80.

Example

Prime(7) - 16 = 1 not prime
Prime(11)- 16 = 15 not prime
Prime(13)- 16 = 25 not prime
Prime(17)- 16 = 43 prime

Prog

(PARI) a(n, m) = { forstep(j=2, m, 2, forprime(x=2, n, y=prime(x)- j; if(isprime(y), print1(y", "); break) ) ) }

Crossrefs

Sequence in context: A210641 A021910 A331632 * A141519 A228000 A029946

Adjacent sequences: A094121 A094122 A094123 * A094125 A094126 A094127

Keyword

nonn

Author

Cino Hilliard, May 31 2004

Status

approved