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A165504 Primes p with a digits sum of p^2 equal to 43. 5

%I #12 Sep 08 2022 08:45:47

%S 887,1697,1723,1867,1913,2083,2137,2417,2543,2633,2687,2767,2803,2957,

%T 3083,3109,3137,3433,3793,3847,3947,4073,4217,4423,4567,4657,4783,

%U 4793,4937,5099,5233,5279,5333,5387,5431,5647,5683,5827,6043,6053,6133,6143

%N Primes p with a digits sum of p^2 equal to 43.

%H Vincenzo Librandi, <a href="/A165504/b165504.txt">Table of n, a(n) for n = 1..1000</a>

%F {A000040(i) : A123157(i) = 43} [_R. J. Mathar_, Sep 29 2009]

%e 887 is in the sequence because 887^2=786769 and 7+8+6+7+6+9=43.

%e 1723 is in the sequence because 1723^2=2968729 and 2+9+6+8+7+2+9=43.

%t Select[Prime[Range[300]], Total[IntegerDigits[#^2]] == 43&] (* _Vincenzo Librandi_, Sep 12 2013 *)

%o (Magma) [p: p in PrimesUpTo(6150) | &+Intseq(p^2) eq 43]; // _Vincenzo Librandi_, Sep 12 2013

%Y Cf. primes p where the digital sum of p^2 is equal to: A226803 (7), A165492 (13), A165493 (19), A165502 (31), A165503 (37), this sequence (43).

%K nonn,base

%O 1,1

%A _Vincenzo Librandi_, Sep 21 2009

%E More terms from _R. J. Mathar_, Sep 29 2009

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Last modified April 25 10:01 EDT 2024. Contains 371967 sequences. (Running on oeis4.)