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

1,1

Links

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

Prog

(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

Crossrefs

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

Sequence in context: A316791 A154552 A261463 * A100857 A100856 A100858

Adjacent sequences: A352910 A352911 A352912 * A352914 A352915 A352916

Keyword

nonn

Author

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

Status

approved