A074839 a(0) = 1, a(n+1) = a(n) + next prime larger than a(n).

1, 3, 8, 19, 42, 85, 174, 353, 712, 1431, 2864, 5743, 11492, 22989, 45982, 91971, 183968, 367939, 735888, 1471789, 2943596, 5887195, 11774408, 23548837, 47097690, 94195387, 188390808, 376781617, 753563240, 1507126509, 3014253028

Offset: 0

Author

Robert G. Wilson v, Sep 09 2002

Keywords

• easy
• nonn

Examples

			For instance 1+2=3, 3+5=8, 8+11=19, 19+23=42, 42+43=85, ...
		

Crossrefs

Cf. A063807.

Programs

Mathematica

Needs[ "NumberTheory`NumberTheoryFunctions`" ]; NestList[ # + NextPrime[ # ] &, 1, 50 ]

Python

from itertools import islice
from sympy import nextprime
def A074839_gen(): # generator of terms
    yield (a:=1)
    while (a:=a+nextprime(a)): yield a
A074839_list = list(islice(A074839_gen(),20)) # Chai Wah Wu, Mar 19 2024