A185846 Primes in A002049.

3, 7, 59, 197, 373, 701, 1009, 1571, 2749, 3581, 5701, 5881, 6247, 8269, 9397, 14369, 15881, 31019, 32707, 41801, 47269, 53633, 70177, 81931, 84701, 93239, 118369, 131213, 133873, 138373, 147661, 149561, 161159, 191929, 194069, 203857, 221813, 252823, 290161, 298201

Offset: 1

Author

Jonathan Vos Post, Feb 06 2011

Keywords

• nonn
• changed

Examples

			a(3) = A002049(8) = 59 = the 17th prime.
		

Links

• Chai Wah Wu, Table of n, a(n) for n = 1..8849

Crossrefs

Cf. A002049.

Programs

Python

from itertools import count, accumulate, islice
from collections import deque
from sympy import isprime
def A185846_gen(): # generator of terms
    aset, alist, c = set(), deque(), 0
    for k in count(1):
        if k in aset:
            aset.remove(k)
        else:
            c += k
            if isprime(c): yield c
            aset |= set(k+d for d in accumulate(alist))
            alist.appendleft(k)
A185846_list = list(islice(A185846_gen(),40)) # Chai Wah Wu, Sep 01 2025

Extensions

More terms from Nathaniel Johnston, Feb 09 2011