A335002 Integers m such that omega(F(m)) = omega(L(m)) where omega is the number of distinct prime divisors function, F(n) and L(n) are the n-th Fibonacci and n-th Lucas numbers.

1, 3, 4, 5, 7, 9, 10, 11, 13, 14, 15, 17, 18, 21, 26, 33, 42, 46, 47, 55, 58, 66, 69, 73, 77, 85, 89, 93, 102, 103, 107, 111, 117, 121, 123, 132, 139, 167, 171, 177, 179, 181, 187, 201, 205, 207, 213, 219, 221, 233, 241, 246, 247, 253, 257, 262, 267, 269, 273, 279, 281, 282, 293, 295

Offset: 1

Author

Michel Marcus, May 19 2020

Keywords

• nonn

Comments

Numbers m such that A022307(m) = A086598(m).

Links

• Amiram Eldar, Table of n, a(n) for n = 1..134
• Prapanpong Pongsriiam, Fibonacci and Lucas Numbers which have Exactly Three Prime Factors and Some Unique Properties of F18 and L18, Fibonacci Quart. 57 (2019), no. 5, 130-144.

Crossrefs

Cf. A001221, A000032, A000045, A022307, A086598, A335001.

Programs

PARI

lucas(n) = fibonacci(n+1)+fibonacci(n-1);
isok(m) = omega(fibonacci(m))==omega(lucas(m));