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Prime numbers whose square is composed of just two different decimal digits.
1

%I #13 Jul 29 2022 14:13:00

%S 5,7,11,109,173,81619

%N Prime numbers whose square is composed of just two different decimal digits.

%C Conjectured to be a finite sequence.

%C No further terms up to prime(1000000)=15485863. - _Harvey P. Dale_, Mar 20 2011

%D Related to the Unsolved problem F24, p. 262, of the UPiNT by _R. K. Guy_

%e 81619^2 = 6661661161.

%t Select[Prime[Range[10000]],Count[DigitCount[#^2],0] ==8&] (* _Harvey P. Dale_, Mar 20 2011 *)

%Y Subsequence of A016069.

%K easy,nonn,base

%O 1,1

%A _Carlos Rivera_, Oct 15 2000