A372078 Primes p that are introduced in A373390 by 3*p.

5, 13, 17, 29, 41, 43, 47, 59, 67, 97, 157

Offset

1,1

Comments

Conjecture: there are no other terms. (See the comments and conjectures in A373790.)

These are primes numbered 3, 6, 7, 10, 13, 14, 15, 17, 19, 25, 37.

They appear in A373390 at indices 9, 25, 35, 61, 85, 91, 99, 126, 139, 204, 335.

157 is the 37th prime. The conjecture is that for the 38th and all later primes p, in A373390 there are three successive terms 2*p, x, p. The values of x are given in A373790.

Links

Table of n, a(n) for n=1..11.

Example

The first (and only) multiple of 13 in A373390 that precedes A373390(25) = 13 is A373390(23) = 39 = 3*13, so 13 is a term.

Crossrefs

Cf. A373390, A372072, A372073, A372079-A372081, A373786-A373791.

Sequence in context: A307096 A283391 A145016 * A354155 A123079 A273950

Adjacent sequences: A372075 A372076 A372077 * A372079 A372080 A372081

Keyword

nonn

Author

N. J. A. Sloane, Jun 18 2024

Status

approved