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

1,1

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

Prog

(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

Crossrefs

Cf. A033286.

Sequence in context: A025989 A125480 A023950 * A025973 A277833 A022469

Adjacent sequences: A268462 A268463 A268464 * A268466 A268467 A268468

Keyword

nonn

Author

Zak Seidov, Feb 05 2016

Extensions

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

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

Status

approved