A154273 Primes of the form: nonprime(prime(n)) + n.

2, 11, 79, 97, 109, 127, 151, 239, 313, 557, 599, 661, 719, 733, 797, 839, 1051, 1061, 1097, 1171, 1259, 1283, 1303, 1453, 1559, 1621, 1973, 1999, 2011, 2111, 2213, 2267, 2311, 2383, 2437, 2539, 2621, 2719, 2767, 2879, 2957, 3083, 3137, 3313, 3433, 3607

Offset

1,1

Comments

Where n-th "prime nonprime"=A141468(A000040(n)) and 1st "prime nonprime" = 0.

Links

Table of n, a(n) for n=1..46.

Example

For n=1, nonprime(prime(1))+1 = nonprime(2)+1 = 1+1 = 2 (prime), so a(1)=2.
For n=2, nonprime(prime(2))+2 = nonprime(3)+2 = 4+2 = 6 (composite).
For n=3, nonprime(prime(3))+3 = nonprime(5)+3 = 8+3 = 11 (prime), so a(2)=11, etc.

Maple

A154273 := proc(n) c := A141468(ithprime(n)) ; p := n+c ; if isprime(p) then printf("%d, ", p) ; end if; end proc: seq(A154273(n), n=1..700) ; # R. J. Mathar, May 01 2010

Crossrefs

Cf. A000040, A141468.

Sequence in context: A094569 A378670 A151418 * A253256 A163203 A142722

Adjacent sequences: A154270 A154271 A154272 * A154274 A154275 A154276

Keyword

nonn

Author

Juri-Stepan Gerasimov, Jan 06 2009

Extensions

Corrected (787 replaced by 797) and extended by R. J. Mathar, May 01 2010

Status

approved