A349848 - OEIS

A349848

a(n) = Sum_{k=1..n} prime(n)^prime(k).

4, 36, 3275, 840742, 285331320285, 304667330108466, 827250200736677741479, 1983900084687573008820254, 20880542756369384174903669400953, 2567686157477937962829648585022637187631942, 17086936018496343189927728440572423322828545911

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OFFSET

1,1

LINKS

Table of n, a(n) for n=1..11.

EXAMPLE

For n=3, p=5, a(n) = 5^2 + 5^3 + 5^5 = 25 + 125 + 3125 = 3275.

PROG

(PARI) a(n) = my(p=prime(n)); sum(k=1, n, p^prime(k)); \\ Michel Marcus, Dec 02 2021

(Python)

from sympy import prime, primerange

def a(n): pn = prime(n); return sum(pn**pk for pk in primerange(1, pn+1))

print([a(n) for n in range(1, 12)]) # Michael S. Branicky, Dec 02 2021

CROSSREFS

Sequence in context: A175493 A179870 A001152 * A218515 A296136 A061024

Adjacent sequences: A349845 A349846 A349847 * A349849 A349850 A349851

KEYWORD

nonn

AUTHOR

Firdous Ahmad Mala, Dec 02 2021

EXTENSIONS

More terms from Michel Marcus, Dec 02 2021

STATUS

approved