A129315 Where records occur in A127356.

1, 2, 3, 10, 13, 77, 92, 152, 294, 484, 517, 964, 1203, 2876, 14118, 34279, 81191, 103862, 115370, 195097, 334816, 347938, 2126572, 2787194, 3034023, 5707120, 16513290, 17861702, 19454321, 206814544, 500017558, 551865394, 716440254, 891826049, 1383516280

Offset: 1

Author

Klaus Brockhaus, Apr 09 2007

Keywords

• nonn

Examples

			The fifth record in A127356 is A129314(5) = 24 = A127356(13), hence a(5) = 13.
		

Crossrefs

Cf. A127356, A129314 (records).

Programs

Python

from itertools import count, islice
from sympy import isprime, nextprime, prime
def agen():
    pn = 2; record = 1; yield 1
    for n in count(2):
        k, pn = 2, nextprime(pn)
        while not isprime(pn + k*k): k += 2
        if k > record: record = k; yield n
print(list(islice(agen(), 20))) # Michael S. Branicky, Nov 11 2022

Extensions

a(27)-a(33) from Donovan Johnson, Dec 09 2008

a(34)-a(35) from Michael S. Branicky, Nov 11 2022