A144423 Primes of the form (p(n)-2*(n-1))/11, where p(n)=n-th prime.

3, 3, 5, 17, 41, 59, 71, 73, 79, 89, 89, 107, 127, 163, 173, 227, 227, 233, 233, 241, 271, 283, 331, 331, 337, 373, 379, 379, 383, 419, 443, 443, 461, 487, 503, 557, 563, 571, 577, 617, 619, 631, 659, 677, 683, 709, 709, 733, 769, 769, 823, 859, 887, 919, 997

Offset

1,1

Links

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

Example

If n=20, then (p(20)-2*(20-1))/11=(71-38)/11=3=a(1).
If n=21, then (p(21)-2*(21-1))/11=(73-40)/11=3=a(2).
If n=30, then (p(30)-2*(30-1))/11=(113-58)/11=5=a(3).
If n=126, then (p(126)-2*(126-1))/11=(701-250)/11=41=a(4).
If n=165, then (p(165)-2*(165-1))/11=(977-328)/11=59=a(5).
If n=192, then (p(192)-2*(192-1))/11=(1163-382)/11=71=a(6), etc.

Mathematica

Select[Table[(Prime[n]-2(n-1))/11, {n, 2000}], PrimeQ] (* Harvey P. Dale, Sep 28 2013 *)

Crossrefs

Cf. A000040.

Sequence in context: A351639 A351638 A369345 * A128636 A123633 A215912

Adjacent sequences: A144420 A144421 A144422 * A144424 A144425 A144426

Keyword

nonn

Author

Juri-Stepan Gerasimov, Oct 08 2008

Extensions

17, 73, 89, 107 inserted and extended by R. J. Mathar, Nov 06 2008

Status

approved