A362882 - OEIS

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A362882

Number of even numbers generated by adding two distinct odd primes <= prime(n+1).

0, 1, 3, 6, 8, 11, 14, 17, 20, 25, 28, 33, 37, 40, 44, 47, 53, 57, 62, 66, 70, 75, 79, 85, 89, 93, 98, 102, 106, 113, 117, 122, 129, 134, 140, 145, 150, 157, 161, 166, 172, 176, 181, 186, 191, 196, 202, 210, 214, 221, 225, 230, 236, 241, 245, 248, 256, 264

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,3

LINKS

Table of n, a(n) for n=1..58.

EXAMPLE

For n = 3, the primes are 3, 5 and 7. 3 + 5 = 8, 3 + 7 = 10 and 5 + 7 = 12 are all distinct even numbers, so a(3) = 3.

PROG

(Python)

from sympy import nextprime

from itertools import islice

def agen(): # generator of terms

plst, s, p = [3], set(), 3

while True:

yield len(s)

p = nextprime(p)

s.update(p+pi for pi in plst)

plst.append(p)

print(list(islice(agen(), 60))) # Michael S. Branicky, May 07 2023

CROSSREFS

First differences give A083060.

Sequence in context: A325946 A050503 A265899 * A265898 A133869 A368642

Adjacent sequences: A362879 A362880 A362881 * A362883 A362884 A362885

KEYWORD

nonn

AUTHOR

Kshitij Thakkar and Gargee Girdhari, May 07 2023

STATUS

approved