A268465 Primes of the form m*prime(m) + (m + 1)*prime(m + 1) + (m + 2)*prime(m + 2).

23, 349, 1579, 4691, 5783, 7187, 9547, 11519, 15377, 45779, 52289, 353359, 361787, 384277, 510227, 678413, 710599, 1007861, 1218709, 1301617, 1484449, 1567567, 1839469, 2073989, 2264959, 2409163, 2438377, 2520779, 2735281, 2882653, 2998867, 3100271, 3211751

Offset: 1

Author

Zak Seidov, Feb 05 2016

Keywords

• nonn

Comments

Primes arising in A105455.

Primes of the form A033286(m)+A033286(m+1)+A033286(m+2).

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A033286.

Programs

Python

from itertools import islice
from sympy import isprime, nextprime
def agen(): # generator of terms
    m, p, q, r = 1, 2, 3, 5
    while True:
        t = m*p + (m+1)*q + (m+2)*r
        if isprime(t): yield t
        m, p, q, r = m+1, q, r, nextprime(r)
print(list(islice(agen(), 33))) # Michael S. Branicky, May 17 2022

Extensions

Typo in a(28) fixed by Seth A. Troisi, May 17 2022

a(29) and beyond from Michael S. Branicky, May 17 2022