A174010 Primes p of the form p = A000040(k) - A163300(k) for some k (includes duplicates).

2, 3, 3, 5, 13, 17, 29, 31, 31, 37, 41, 47, 53, 67, 71, 71, 79, 79, 83, 89, 97, 97, 107, 107, 127, 131, 151, 181, 197, 211, 229, 241, 257, 257, 269, 271, 281, 283, 283, 311, 353, 373, 389, 401, 409, 409, 419, 419, 431, 449, 463, 479, 491, 499, 547, 563, 577, 577

Offset

1,1

Comments

Primes of form k-th prime minus k-th even nonnegative nonprime.

Essentially the same as A144419.

Links

Table of n, a(n) for n=1..58.

Example

a(1)=2 because 2-0=2; a(2)=3 because 17-14=3; a(3)=3 because 19-16=3; a(4)=5 because 23-18=5; a(5)=13 because 37-24=13.

Maple

A163300 := proc(n) if n <= 2 then op(n, [0, 4]) ; 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 400 do p := ithprime(n) -A163300(n) ; if isprime(p) then printf("%d, ", p) ; end if; end do: # R. J. Mathar, May 02 2010

Crossrefs

Cf. A144419, A001477, A078916, A163300, A174008.

Sequence in context: A363786 A359033 A064339 * A053199 A045626 A275914

Adjacent sequences: A174007 A174008 A174009 * A174011 A174012 A174013

Keyword

nonn,less

Author

Juri-Stepan Gerasimov, Mar 05 2010

Extensions

Corrected (83 inserted) by R. J. Mathar, May 02 2010

Status

approved