A387145 a(n) is the least k>1 such that bigomega(k^n-1) = bigomega(k^n+1) with bigomega=A001222.

4, 2, 6, 150, 3, 60, 4, 40, 19, 2, 2, 12450, 8, 2, 5, 4590, 5, 96, 5, 420, 2, 12, 2

Offset: 1

Author

Hugo Pfoertner, Aug 18 2025

Keywords

• nonn
• hard
• more
• new

Comments

a(24)...a(39): >3300, 3, 18, 33, >1000, 2, 32, 3, >625, 6, 13, 8, >1000, 4, 32, 2.

Crossrefs

Cf. A001222, A385315, A387144.

Programs

PARI

a387145(n) = for(k=2, oo, if(bigomega(k^n-1)==bigomega(k^n+1), return(k)))