A345977 a(n) is the first term in the n-term sum corresponding to A345976(n).

2, 5, 331, 89, 5297, 11149, 2960267, 6189857, 1645492081, 1490842261, 763377367829, 1692363920551

Offset

1,1

Links

Table of n, a(n) for n=1..12.

Example

See A345976.

Prog

(Python)
from sympy import nextprime, prime, primefactors, primerange
def a(n):
    plst = [p for p in primerange(1, prime(n)+1)]
    while len(primefactors(sum(plst))) != n:
        plst = plst[1:] + [nextprime(plst[-1])]
    return plst[0]
print([a(n) for n in range(1, 7)]) # Michael S. Branicky, Jul 16 2021

Crossrefs

Cf. A001221, A345976, A346382.

Sequence in context: A308270 A042909 A270476 * A183129 A081462 A035128

Adjacent sequences: A345974 A345975 A345976 * A345978 A345979 A345980

Keyword

nonn,more

Author

Hugo Pfoertner, Jul 16 2021

Extensions

a(8)-a(10) from Michael S. Branicky, Jul 16 2021

a(11)-a(12) from Martin Ehrenstein, Jul 17 2021

Status

approved