%I #9 Nov 12 2022 02:14:34
%S 1,2,3,10,13,77,92,152,294,484,517,964,1203,2876,14118,34279,81191,
%T 103862,115370,195097,334816,347938,2126572,2787194,3034023,5707120,
%U 16513290,17861702,19454321,206814544,500017558,551865394,716440254,891826049,1383516280
%N Where records occur in A127356.
%e The fifth record in A127356 is A129314(5) = 24 = A127356(13), hence a(5) = 13.
%o (Python)
%o from itertools import count, islice
%o from sympy import isprime, nextprime, prime
%o def agen():
%o pn = 2; record = 1; yield 1
%o for n in count(2):
%o k, pn = 2, nextprime(pn)
%o while not isprime(pn + k*k): k += 2
%o if k > record: record = k; yield n
%o print(list(islice(agen(), 20))) # _Michael S. Branicky_, Nov 11 2022
%Y Cf. A127356, A129314 (records).
%K nonn
%O 1,2
%A _Klaus Brockhaus_, Apr 09 2007
%E a(27)-a(33) from _Donovan Johnson_, Dec 09 2008
%E a(34)-a(35) from _Michael S. Branicky_, Nov 11 2022