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Square numbers of the form prime(k) + 2*prime(k+1).
1

%I #13 Mar 20 2017 10:30:04

%S 81,1521,9801,11881,12321,20449,25281,29241,32041,35721,40401,53361,

%T 83521,126025,168921,210681,237169,245025,267289,273529,290521,297025,

%U 330625,370881,378225,408321,423801,585225,619369,635209,783225,793881,893025,1185921,1279161

%N Square numbers of the form prime(k) + 2*prime(k+1).

%C Values of k: {9, 96, 461, 548, 565, 876, 1053, ...}.

%C Values of prime(k): {23, 503, 3259, 3947, 4099, 6803, 8423, ...}.

%H Chai Wah Wu, <a href="/A284057/b284057.txt">Table of n, a(n) for n = 1..10000</a>

%e 81 = prime(9) + 2*prime(10) = 23 + 2*29, 1521 = prime(96) + 2*prime(97) = 503 + 2*509.

%t Select[Table[Prime[k] + 2*Prime[k + 1], {k, 10000}], Floor[Sqrt[#]]^2 == # &]

%K nonn

%O 1,1

%A _Zak Seidov_, Mar 19 2017

%E More terms from _Chai Wah Wu_, Mar 20 2017

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Last modified September 20 03:04 EDT 2024. Contains 376016 sequences. (Running on oeis4.)