A144419 Primes of the form prime(k) - 2*k (terms can be repeated).

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

Author

Juri-Stepan Gerasimov, Oct 07 2008

Keywords

• nonn

Examples

			For k=7,  prime(7)  - 2*7  = 17 - 14 =  3 = a(1).
For k=8,  prime(8)  - 2*8  =  9 - 16 =  3 = a(2).
For k=9,  prime(9)  - 2*9  = 23 - 18 =  5 = a(3).
For k=12, prime(12) - 2*12 = 37 - 24 = 13 = a(4).
For k=15, prime(15) - 2*15 = 47 - 30 = 17 = a(5).
For k=19, prime(19) - 2*19 = 67 - 38 = 29 = a(6).
For k=20, prime(20) - 2*20 = 71 - 40 = 31 = a(7).
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000040, A179437.

Programs

Maple

select(isprime, [seq(ithprime(k)-2*k,k=1..1000)]); # Robert Israel, Nov 24 2024

Extensions

A 181 replaced with 281 by R. J. Mathar, Apr 14 2010