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Numbers k such that the digits of k^2 include the digits of the k-th prime as substring.
3

%I #5 Jul 21 2021 22:44:51

%S 44,2243463,37035039,3837982664

%N Numbers k such that the digits of k^2 include the digits of the k-th prime as substring.

%e prime(44) = 193 and 44^2 = 193_6.

%e prime(224346) = 3112771 and 224346^2 = 50_33112771_6.

%e prime(37035039) = 715941137 and 37035039^2 = 13_715941137_31521.

%e prime(3837982664) = 92916453689 and 3837982664^2= 14730110_92916453689_6.

%Y Cf. A115735, A115736, A115737.

%K base,nonn

%O 1,1

%A _Giovanni Resta_, Jan 30 2006