A174184 Prime(n)+even nonprime(n) is prime.

1, 2, 3, 7, 9, 11, 12, 13, 14, 18, 24, 27, 28, 29, 30, 36, 38, 43, 44, 53, 54, 55, 57, 60, 63, 64, 65, 66, 72, 74, 80, 84, 90, 93, 102, 103, 108, 110, 111, 117, 118, 125, 126, 135, 138, 141, 143, 148, 150, 155, 156, 162, 165, 171, 174, 180, 183, 186, 188, 190, 198

Offset

1,2

Comments

Unit together with prime(n)+s*n is prime, s=2.

Links

Table of n, a(n) for n=1..61.

Formula

a(n+1)=A076297(n).

Example

1 is in the sequence because A000040(1) + A163300(1) = 2 (1st prime) + 0 (1st even nonprime) is prime;
2 is in the sequence because A000040(2) + A163300(2) = 3 (2nd prime) + 4 (2nd even nonprime) is prime.

Maple

From R. J. Mathar, Apr 20 2010: (Start)
A163300 := proc(n) option remember ; if n = 1 then 0; else for a from procname(n-1)+2 by 2 do if not isprime(a) then return a ; end if; end do; end if; end proc:
for n from 1 to 200 do if isprime( ithprime(n) + A163300(n)) then printf("%d, ", n) ; end if; end do: (End)

Crossrefs

Cf. A000040, A076297, A163300.

Sequence in context: A262300 A202105 A076297 * A278485 A279064 A294109

Adjacent sequences: A174181 A174182 A174183 * A174185 A174186 A174187

Keyword

nonn

Author

Juri-Stepan Gerasimov, Mar 11 2010

Extensions

Entries checked by R. J. Mathar, Apr 20 2010

Status

approved