A335002 - OEIS

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

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OFFSET

1,2

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.

PROG

(PARI) lucas(n) = fibonacci(n+1)+fibonacci(n-1);

isok(m) = omega(fibonacci(m))==omega(lucas(m));

CROSSREFS