A058370 Primes p such that p and p^2 have same digit sum.
19, 199, 379, 739, 1747, 1999, 3169, 3259, 4519, 4789, 4951, 5689, 5851, 5869, 6481, 6679, 7489, 8389, 9199, 10729, 12799, 12889, 13789, 14149, 14851, 14869, 15679, 17389, 17497, 17659, 17929, 22699, 26479, 26497, 26839, 28297, 28549, 29179
Offset: 1
Programs
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Mathematica
Select[Prime[Range[3300]],Total[IntegerDigits[#]]==Total[IntegerDigits[ #^2]]&] (* Harvey P. Dale, May 08 2011 *)