A083020 Irregular triangle read by row of the prime factors of 3^(3^n) + 2.

5, 29, 5, 31, 127, 11, 693236134999, 5, 15679, 2372959, 5945531, 3312453269, 121032673159, 87189642485960958202911070585860771696964072404731750085525219437990967093723439943475549906831683116791055225665629, 5, 31

Offset

0,1

Comments

Conjecture: These numbers have no repeating factors or 3^(3^n) + 2 is squarefree.

Links

Table of n, a(n) for n=0..15.

Example

Triangle begins:
  3^(3^0)+2 = 5,
  3^(3^1)+2 = 29,
  3^(3^2)+2 = 5 * 31 * 127,
  3^(3^3)+2 = 11 * 693236134999,
  ...

Crossrefs

Sequence in context: A132550 A154587 A374602 * A033503 A181616 A057206

Adjacent sequences: A083017 A083018 A083019 * A083021 A083022 A083023

Keyword

easy,tabf,nonn

Author

Cino Hilliard, May 31 2003

Extensions

Corrected by T. D. Noe, Nov 15 2006

Name clarified and a(14)-a(15) from Sean A. Irvine, Jan 04 2026

Status

approved