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 A165503 Primes p with a digits sum of p^2 equal to 37. 3

%I

%S 433,613,683,773,827,863,1063,1117,1187,1223,1567,1583,1657,1693,1783,

%T 1907,1997,2017,2087,2141,2143,2161,2267,2357,2393,2467,2557,2593,

%U 2609,2663,2719,2753,2789,2843,2879,2897,2969,2971,3023,3041,3061,3167,3187

%N Primes p with a digits sum of p^2 equal to 37.

%H Vincenzo Librandi, <a href="/A165503/b165503.txt">Table of n, a(n) for n = 1..1000</a>

%F {A000040(i) : A123157(i) = 37} [_R. J. Mathar_, Sep 29 2009]

%e 433 is in the sequence because 433^2=187489 and 1+8+7+4+8+9=37.

%e 1783 is in the sequence because 1783^2=3179089 and 3+1+7+9+0+8+9=37.

%t Select[Prime[Range], Total[IntegerDigits[#^2]]== 37&] (* _Vincenzo Librandi_, Sep 12 2013 *)

%o (MAGMA) [p: p in PrimesUpTo(6150) | &+Intseq(p^2) eq 37]; // _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), this sequence (37), A165504 (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 May 5 23:41 EDT 2021. Contains 343579 sequences. (Running on oeis4.)