A286900 Sum of the numbers from n to nextprime(n).

3, 5, 12, 9, 18, 13, 45, 38, 30, 21, 36, 25, 75, 62, 48, 33, 54, 37, 105, 86, 66, 45, 182, 159, 135, 110, 84, 57, 90, 61, 238, 207, 175, 142, 108, 73, 195, 158, 120, 81, 126, 85, 225, 182, 138, 93, 350, 303, 255, 206, 156, 105, 392, 339, 285, 230, 174, 117

Offset

1,1

Comments

nextprime(n) refers to A151800(n); least prime > n. - David A. Corneth, May 19 2017

n is the lesser of twin primes (A001359) iff a(n) = A286901(n+2).

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Formula

a(n) = Sum_{i=n..nextprime(n)} i.

Maple

A286900:=n->add(i, i=n..nextprime(n)): seq(A286900(n), n=1..100);

Mathematica

Table[Sum[i, {i, n, NextPrime[n]}], {n, 100}]

Prog

(Python)
from __future__ import division
from sympy import nextprime
def A286900(n):
    m = nextprime(n)
    return (m + n)*(m - n + 1)//2 # Chai Wah Wu, Feb 26 2018

Crossrefs

Cf. A001359, A151800, A286901 (sum of the numbers from prevprime(n) to n).

Sequence in context: A279728 A087122 A358336 * A361111 A361322 A037221

Adjacent sequences: A286897 A286898 A286899 * A286901 A286902 A286903

Keyword

nonn,easy,look

Author

Wesley Ivan Hurt, May 15 2017

Status

approved