A364555 Numbers m such that no triangular number is m times a prime.

17, 28, 32, 43, 46, 62, 67, 71, 72, 80, 88, 94, 101, 103, 104, 108, 109, 110, 118, 122, 124, 127, 130, 137, 144, 148, 149, 151, 152, 161, 162, 163, 170, 171, 172, 178, 181, 185, 188, 196, 197, 202, 206, 208, 212, 214, 218, 223, 226, 236, 238, 241, 242, 256, 257, 258

Offset

1,1

Comments

Numbers m such that A364554(m) = 0.

Primes in sequence are A109998.

Conjecture: Numbers m such that there is no prime number in the union of all sets {(2*r -+ 1)/d; (r -+ 1)/(2*d)}, where d is some divisor of m and r = m/d.

Links

Table of n, a(n) for n=1..56.

Example

17 is a term since there isn't any triangular number T(k) such that T(k) = 17*p, with p prime.
28 is a term since there isn't any triangular number T(k) such that T(k) = 28*p, with p prime.

Crossrefs

Cf. A000217, A109998, A364554.

Sequence in context: A256361 A293927 A269307 * A134468 A366963 A032611

Adjacent sequences: A364552 A364553 A364554 * A364556 A364557 A364558

Keyword

nonn

Author

Lamine Ngom, Jul 28 2023

Status

approved