A204914 Ordered differences of squared primes.

5, 21, 16, 45, 40, 24, 117, 112, 96, 72, 165, 160, 144, 120, 48, 285, 280, 264, 240, 168, 120, 357, 352, 336, 312, 240, 192, 72, 525, 520, 504, 480, 408, 360, 240, 168, 837, 832, 816, 792, 720, 672, 552, 480, 312, 957, 952, 936, 912, 840, 792, 672

Offset

1,1

Comments

For a guide to related sequences, see A204892.

Links

Michael S. Branicky, Table of n, a(n) for n = 1..10000

Example

a(1) = s(2) - s(1) =  9 - 4 =  5;
a(2) = s(3) - s(1) = 25 - 4 = 21;
a(3) = s(3) - s(2) = 25 - 9 = 16;
a(4) = s(4) - s(1) = 49 - 4 = 45.

Mathematica

(See the program at A204916.)

Prog

(Python)
from math import isqrt
from sympy import prime, primerange
def aupton(terms):
  sqps = [p*p for p in primerange(1, prime(isqrt(2*terms)+1)+1)]
  return [b-a for i, b in enumerate(sqps) for a in sqps[:i]][:terms]
print(aupton(52)) # Michael S. Branicky, May 21 2021

Crossrefs

Cf. A204908, A204900, A204892.

Sequence in context: A053003 A346035 A167202 * A355036 A263130 A165204

Adjacent sequences: A204911 A204912 A204913 * A204915 A204916 A204917

Keyword

nonn

Author

Clark Kimberling, Jan 20 2012

Status

approved