Powers which are the sum of
In May 2001 David Wilson & Vladeta Jovovic found 5
cases where the sum of the initial primes is a square (A061890):
a(n)= 100, 25633969, 212372329, 292341604,
3672424151449, [219704732167875184222756 missed,
but calculated later by G. Resta in May 2003]
Jud Mc Cranie & Giovanni Resta found six cases
(May 2003) that the sum of the sum of the first primes
is a square (A033997,
b(n)= 9, 2474, 6694, 7785, 709838, 126789311423
c(n)= 23, 22073, 67187, 79427, 10729219,
All this was the matter of
Puzzle 9 in these pages, a very old puzzle, indeed. There you
can read an old challenge by Honaker: "no one S(k) perfect cube
has been found"
Perhaps it's time to attack
again these questions.
Q1. Get c(7)
Q2. Find one
single example for the Honaker's question.