A142456 Primes of the form (p(n)-2*n)/5, where p(n)=n-th prime.

3, 3, 5, 5, 7, 13, 31, 31, 37, 43, 47, 53, 53, 59, 73, 83, 97, 137, 137, 157, 173, 173, 191, 199, 233, 281, 293, 337, 397, 397, 409, 421, 431, 449, 457, 463, 467, 467, 487, 487, 499, 499, 503, 509, 521, 523, 593, 593, 599

Offset

1,1

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

If n=13, then (p(13)-2*13)/5=(41-26)/5=3=a(1).
If n=14, then (p(14)-2*14)/5=(43-28)/5=3=a(2).
If n=17, then (p(17)-2*17)/5=(59-34)/5=5=a(3).
If n=18, then (p(18)-2*18)/5=(61-36)/5=5=a(4).
If n=22, then (p(22)-2*22)/5=(79-44)/5=7=a(5).
If n=31, then (p(31)-2*31)/5=(127-62)/5=13=a(6), etc.

Mathematica

Select[Table[(Prime[n]-2n)/5, {n, 1000}], PrimeQ] (* Harvey P. Dale, Nov 24 2012 *)

Crossrefs

Cf. A000040.

Sequence in context: A092316 A327710 A339101 * A098508 A355572 A051593

Adjacent sequences: A142453 A142454 A142455 * A142457 A142458 A142459

Keyword

nonn

Author

Juri-Stepan Gerasimov, Oct 07 2008

Extensions

Corrected (43 inserted, 87 removed, 157 inserted etc.) by R. J. Mathar, Apr 18 2010

Status

approved