(MAGMAMagma) [ NthPrime(n): n in [1..190] | IsPrime(&+[NthPrime(n+s): s in [0..8]]) ];
OEIS Server: https://oeis.org/edit/global/2944
reviewed
approved
proposed
editing
3, 29, 31, 37, 47, 79, 83, 89, 107, 109, 127, 131, 139, 149, 157, 173, 179, 193, 197, 199, 211, 241, 277, 347, 359, 367, 373, 389, 397, 433, 449, 487, 491, 521, 577, 593, 619, 643, 659, 677, 743, 761, 829, 853, 953, 977, 1049, 1063, 1087, 1129, 1151, 1193
(Python)
from sympy import isprime, nextprime
def aupto(limit):
plst, alst = [3, 5, 7, 11, 13, 17, 19, 23, 29], []
while plst[0] <= limit:
if isprime(sum(plst)): alst.append(plst[0])
plst = plst[1:] + [nextprime(plst[-1])]
return alst
print(aupto(1200)) # Michael S. Branicky, Mar 29 2021
First 7-tuple of consecutive primes belonging to the sequence: 118061, 118081, 118093, 118127, 118147, 118163, 118169. Twin primes in the sequence: 29, 31; 107, 109; 197, 199; 1427, 1429; 1607, 1609; 1721, 1723; 4019, 4021, etc. [Bruno Berselli, Aug 26 2013]
Cf. A073681, A152468, A180948, A180950, A226380.
Additional cross reference from Harvey P. Dale, Jun 05 2013