A270532 Integers k such that A003266(p) is not divisible by p*(p+1)/2 where p is the k-th prime.

1, 2, 4, 9, 14, 19, 23, 27, 31, 38, 39, 48, 49, 61, 73, 76, 86, 90, 91, 93, 96, 99, 101, 107, 111, 117, 118, 124, 129, 138, 143, 144, 150, 153, 154, 155, 161, 166, 179, 188, 192, 195, 208, 213, 217, 219, 224, 229, 236, 243, 247, 250, 253, 258, 261, 262, 269, 272, 276, 277, 283, 285, 292, 300

Offset

1,2

Comments

See A000057 to corresponding prime numbers. In other words, this sequence is an indirect way to generate primes dividing all Fibonacci sequences.

Links

Michel Marcus, Table of n, a(n) for n = 1..1000

Prog

(PARI) f(n) = prod(k=1, n, fibonacci(k)); \\ A003266
isok(n) = (lift(Mod(f(prime(n)), (prime(n)*(prime(n)+1)/2))) != 0);
(PARI) isok(n) = my(p=prime(n), m=p*(p+1)/2); prod(k=1, p, Mod(fibonacci(k), m)); \\ Michel Marcus, May 14 2021

Crossrefs

Cf. A000057, A003266, A270475.

Sequence in context: A059447 A234899 A190553 * A281407 A078671 A119637

Adjacent sequences: A270529 A270530 A270531 * A270533 A270534 A270535

Keyword

nonn

Author

Altug Alkan, Mar 18 2016

Status

approved