A352913 a(n) = largest prime of the form prime(n) + k! (k >= 0).

3, 5, 29, 727, 3628811, 733, 39916817, 87178291219, 20922789888023, 2432902008176640029, 1124000727777607680031, 8683317618811886495518194401280000037, 15511210043330985984000041, 523022617466601111760007224100074291200000043, 2658271574788448768043625811014615890319638528000000047

Offset: 1

Author

Editors of OEIS, based on a suggestion from Hemjyoti Nath, Apr 16 2022

Keywords

• nonn

Links

• Michael S. Branicky, Table of n, a(n) for n = 1..93

Crossrefs

These are the final entries in the rows of the triangle in A352912. See also A082470.

Programs

Python

from sympy import isprime, prime
from itertools import count, islice
def agen(): # generator of terms
    for n in count(1):
        pn, fk = prime(n), 1
        for k in range(1, pn+1):
            if isprime(pn + fk): yield pn + fk
            fk *= k
print(list(islice(agen(), 51))) # Michael S. Branicky, Apr 16 2022