A360311 The sum of the primes prime(n) + prime(n+1) + ... + prime(n+k) in A360297.

5, 26, 124, 318, 1703, 1133, 2086, 7641, 10912775, 60927, 8764, 184252585101, 144329, 474, 1090

Offset

1,1

Comments

See A360297 for further details.

Links

Table of n, a(n) for n=1..15.

Prog

(Python)
from sympy import prime, nextprime
def A360311(n):
    p = prime(n)
    q = nextprime(p)
    s, k = p+q, 1
    while s%(q:=nextprime(q)):
        k += 1
        s += q
    return s # Chai Wah Wu, Feb 06 2023

Crossrefs

Cf. A360297, A360312, A000040, A007504, A332542, A332580.

Sequence in context: A171702 A254825 A272123 * A285905 A344218 A247491

Adjacent sequences: A360308 A360309 A360310 * A360312 A360313 A360314

Keyword

nonn,more

Author

Scott R. Shannon, Feb 03 2023

Status

approved