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Numbers k such that k^2 is the sum of the first m primes for some m.
3

%I #20 Apr 03 2023 10:36:10

%S 10,5063,14573,17098,1916357,468726713734

%N Numbers k such that k^2 is the sum of the first m primes for some m.

%H G. L. Honaker Jr. and C. Caldwell, <a href="https://t5k.org/curios/page.php?curio_id=179">Prime Curios!: 9</a>

%H Carlos Rivera, <a href="http://www.primepuzzles.net/puzzles/puzz_009.htm">Problem 9: Sum of first k primes is perfect square</a>, The Prime Puzzles and Problems Connection.

%F a(n)^2 = A061890(n).

%e 10^2 = 2+3+5+7+11+13+17+19+23, so 10 is in the sequence.

%Y Cf. A033997, A033998, A061890.

%K nonn,hard,more

%O 1,1

%A _David W. Wilson_, May 12 2001

%E a(6) from _Giovanni Resta_, May 27 2003

%E Edited by _Ray Chandler_, Mar 20 2007