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

Author

Scott R. Shannon, Feb 03 2023

Keywords

• nonn
• more

Comments

See A360297 for further details.

Crossrefs

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

Programs

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