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

1,2

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

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

Sequence in context: A039017 A275319 A285343 * A276155 A273670 A153329

Adjacent sequences: A334999 A335000 A335001 * A335003 A335004 A335005

Keyword

nonn

Author

Michel Marcus, May 19 2020

Status

approved