A143788 Prime numbers p such that p + q = 117810 with q prime and p*q=58905^2-x^2.

13, 23, 31, 37, 47, 53, 59, 79, 83, 89, 101, 107, 109, 131, 137, 139, 151, 167, 191, 193, 233, 239, 269, 271, 281, 293, 307, 311, 313, 367, 373, 379, 383, 397, 421, 439, 449, 457, 479, 491, 503, 541, 569, 571, 587, 601, 607, 617, 619, 643, 647, 677, 683, 691

Offset: 1

Author

Pierre CAMI, Sep 01 2008

Keywords

• fini
• full
• nonn

Comments

The sequence has 2613 terms.

Links

• P. CAMI, Table of n, a(n) for n = 1..2613 (complete sequence)

Crossrefs

A061357

Programs

Mathematica

okQ[n_]:=Module[{q=117810-n},PrimeQ[q]&&IntegerQ[Sqrt[3469799025- n*q]]]; Select[Prime[Range[200]],okQ] (* Harvey P. Dale, Jul 18 2011 *)

Other

n = 58905, a(i) = odd primes k = 0: i = 0: j = 11300 10 k = k + 1 If k > (n - 3) / 2 Then End p = 2 * k + 1: q = 2 * (n - k - 1) + 1 15 i = i + 1 If p < a(i) Then i = i - 1: GoTo 10 If p = a(i) Then GoTo 20 GoTo 15 20 j = j - 1 If q > a(j) Then j = j + 1: GoTo 10 If q = a(j) Then Print p: GoTo 10 GoTo 20 GoTo 10