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A165504 Primes p with a digits sum of p^2 equal to 43. 5
887, 1697, 1723, 1867, 1913, 2083, 2137, 2417, 2543, 2633, 2687, 2767, 2803, 2957, 3083, 3109, 3137, 3433, 3793, 3847, 3947, 4073, 4217, 4423, 4567, 4657, 4783, 4793, 4937, 5099, 5233, 5279, 5333, 5387, 5431, 5647, 5683, 5827, 6043, 6053, 6133, 6143 (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) = 43} [R. J. Mathar, Sep 29 2009]

EXAMPLE

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

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

MATHEMATICA

Select[Prime[Range[300]], Total[IntegerDigits[#^2]] == 43&] (* Vincenzo Librandi, Sep 12 2013 *)

PROG

(Magma) [p: p in PrimesUpTo(6150) | &+Intseq(p^2) eq 43]; // 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), A165503 (37), this sequence (43).

Sequence in context: A190354 A164513 A031938 * A351667 A136966 A232152

Adjacent sequences: A165501 A165502 A165503 * A165505 A165506 A165507

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 December 6 05:22 EST 2022. Contains 358594 sequences. (Running on oeis4.)