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

%I A268465 #13 May 17 2022 16:09:02
%S A268465 23,349,1579,4691,5783,7187,9547,11519,15377,45779,52289,353359,
%T A268465 361787,384277,510227,678413,710599,1007861,1218709,1301617,1484449,
%U A268465 1567567,1839469,2073989,2264959,2409163,2438377,2520779,2735281,2882653,2998867,3100271,3211751
%N A268465 Primes of the form m*prime(m) + (m + 1)*prime(m + 1) + (m + 2)*prime(m + 2).
%C A268465 Primes arising in A105455.
%C A268465 Primes of the form A033286(m)+A033286(m+1)+A033286(m+2).
%H A268465 Michael S. Branicky, <a href="/A268465/b268465.txt">Table of n, a(n) for n = 1..10000</a>
%o A268465 (Python)
%o A268465 from itertools import islice
%o A268465 from sympy import isprime, nextprime
%o A268465 def agen(): # generator of terms
%o A268465     m, p, q, r = 1, 2, 3, 5
%o A268465     while True:
%o A268465         t = m*p + (m+1)*q + (m+2)*r
%o A268465         if isprime(t): yield t
%o A268465         m, p, q, r = m+1, q, r, nextprime(r)
%o A268465 print(list(islice(agen(), 33))) # _Michael S. Branicky_, May 17 2022
%Y A268465 Cf. A033286.
%K A268465 nonn
%O A268465 1,1
%A A268465 _Zak Seidov_, Feb 05 2016
%E A268465 Typo in a(28) fixed by _Seth A. Troisi_, May 17 2022
%E A268465 a(29) and beyond from _Michael S. Branicky_, May 17 2022