A188831 Primes of the form k^2 - prime(k).

23, 71, 107, 263, 487, 677, 787, 1427, 1583, 2081, 3319, 5393, 8713, 10247, 11071, 12377, 18257, 20477, 24659, 26573, 29243, 29927, 33487, 34949, 37223, 37991, 41981, 51449, 60917, 64937, 66977, 71167, 83357, 85667, 99013, 100271, 109313, 110629, 118757

Offset

1,1

Comments

Or, primes in A073497. Corresponding values of k in A064712.

This is to A073497 and A064712 as A184935 is to A004232 and A064711.

The two primes prime(k) and k^2-prime(k) are a Goldbach partition of k^2. - T. D. Noe, Apr 14 2011

Links

Zak Seidov, Table of n, a(n) for n = 1..1000

Formula

a(n) = A073497(A064712(n)).

Example

23 is here because 6^2 - prime(6) = 36 - 13 = 23.

Mathematica

Select[Table[k^2 - Prime[k], {k, 1000}], PrimeQ] (* T. D. Noe, Apr 14 2011 *)

Prog

(Magma) [ a: k in [0..10000] | IsPrime(a) where a is k^2-NthPrime(k) ]; // Vincenzo Librandi, Apr 14 2011

Crossrefs

Cf. A004232, A064711, A064712, A073497, A184935.

Sequence in context: A086104 A274050 A274675 * A183012 A319052 A154619

Adjacent sequences: A188828 A188829 A188830 * A188832 A188833 A188834

Keyword

nonn

Author

Zak Seidov, Apr 11 2011

Status

approved