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 A165503 Primes p with a digits sum of p^2 equal to 37. 3
 433, 613, 683, 773, 827, 863, 1063, 1117, 1187, 1223, 1567, 1583, 1657, 1693, 1783, 1907, 1997, 2017, 2087, 2141, 2143, 2161, 2267, 2357, 2393, 2467, 2557, 2593, 2609, 2663, 2719, 2753, 2789, 2843, 2879, 2897, 2969, 2971, 3023, 3041, 3061, 3167, 3187 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 FORMULA {A000040(i) : A123157(i) = 37} [R. J. Mathar, Sep 29 2009] EXAMPLE 433 is in the sequence because 433^2=187489 and 1+8+7+4+8+9=37. 1783 is in the sequence because 1783^2=3179089 and 3+1+7+9+0+8+9=37. MATHEMATICA Select[Prime[Range[500]], Total[IntegerDigits[#^2]]== 37&] (* Vincenzo Librandi, Sep 12 2013 *) PROG (Magma) [p: p in PrimesUpTo(6150) | &+Intseq(p^2) eq 37]; // Vincenzo Librandi, Sep 12 2013 CROSSREFS 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). Sequence in context: A051964 A142686 A052235 * A142539 A059665 A059664 Adjacent sequences: A165500 A165501 A165502 * A165504 A165505 A165506 KEYWORD nonn,base AUTHOR Vincenzo Librandi, Sep 21 2009 EXTENSIONS More terms from R. J. Mathar, Sep 29 2009 STATUS approved

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Last modified November 29 01:35 EST 2022. Contains 358421 sequences. (Running on oeis4.)