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A316969 Primes p such that p^2 contains all of the square digits {0, 1, 4, 9} only. 3

%I #13 Jul 19 2018 03:52:28

%S 701,7001,10007,10243,20347,70001,97001,202757,306749,379499,700001,

%T 997001,1002247,1070021,3317257,3346507,9536249,9970001,10095247,

%U 20470501,21095021,22144979,94925771,100000007,100099501,104933743,202520347,300191597

%N Primes p such that p^2 contains all of the square digits {0, 1, 4, 9} only.

%C Subset of A285550.

%H Giovanni Resta, <a href="/A316969/b316969.txt">Table of n, a(n) for n = 1..501</a> (terms < 10^16)

%e 701^2 = 491401 that contains all the square digits {0, 1, 4, 9} only. Hence, 701 is a term.

%e 10243^2 = 104919049 that contains all of the square digits {0, 1, 4, 9} only. Hence, 10243 is a term.

%e 997 is not a term because 997^2 = 994009 does not contain the digit '1'.

%t Select[Prime[Range[20000000]], Union[IntegerDigits[#^2]] == {0, 1, 4, 9} &]

%Y Cf. A000040, A000290, A001248, A284973, A285550, A019544.

%K nonn,base

%O 1,1

%A _K. D. Bajpai_, Jul 17 2018

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Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)