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A065244 Primes of form p = 2 + Sum_{k = 1..m} k^2 for some m. 1

%I #4 Oct 15 2013 22:31:08

%S 3,7,821,1787,2111,3313,3797,5527,6203,13687,31397,40427,63367,116797,

%T 137827,208337,238967,247067,281297,348553,723907,811037,1048063,

%U 1511017,1538573,1771177,2268317,3064987,4298387,4694923,5239627

%N Primes of form p = 2 + Sum_{k = 1..m} k^2 for some m.

%F A000330(m)+2 gives primes.

%e 821 = 2 + (1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 + 121 + 144 + 169) = 2 + 919 = c + Sum[k^2;1...13]. Instead of c = 2 several other constants give numerous solutions.

%Y Cf. A000330, A065245.

%K nonn

%O 1,1

%A _Labos Elemer_, Oct 24 2001

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)