A379348 Number of positive integers of the form k^2 - 2 whose greatest prime factor is A038873(n), the n-th prime not congruent to 3 or 5 mod 8.

1, 3, 4, 6, 5, 8, 10, 10, 10, 14, 20, 22, 30, 30, 37, 42, 43, 48, 49, 64, 80

Offset

1,2

Comments

See A242488 for additional information.

Links

Table of n, a(n) for n=1..21.

Filip Najman, Smooth values of some quadratic polynomials, Glasnik Matematicki Series III 45 (2010), pp. 347-355.

Example

Table showing n, p = A038873(n) and a(n):
   1    2    1
   2    7    3
   3   17    4
   4   23    6
   5   31    5
   6   41    8
   7   47   10
   8   71   10
   9   73   10
  10   79   14
  ...

Crossrefs

Row lengths of A242488.

Cf. A038873, A185396, A379349.

Sequence in context: A372784 A016655 A057757 * A336717 A332361 A360655

Adjacent sequences: A379345 A379346 A379347 * A379349 A379350 A379351

Keyword

nonn,more

Author

Andrew Howroyd, Dec 22 2024

Status

approved