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

701, 7001, 10007, 10243, 20347, 70001, 97001, 202757, 306749, 379499, 700001, 997001, 1002247, 1070021, 3317257, 3346507, 9536249, 9970001, 10095247, 20470501, 21095021, 22144979, 94925771, 100000007, 100099501, 104933743, 202520347, 300191597

Offset

1,1

Comments

Subset of A285550.

Links

Giovanni Resta, Table of n, a(n) for n = 1..501 (terms < 10^16)

Example

701^2 = 491401 that contains all the square digits {0, 1, 4, 9} only. Hence, 701 is a term.
10243^2 = 104919049 that contains all of the square digits {0, 1, 4, 9} only. Hence, 10243 is a term.
997 is not a term because 997^2 = 994009 does not contain the digit '1'.

Mathematica

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

Crossrefs

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

Sequence in context: A180469 A031423 A140433 * A303689 A252567 A252574

Adjacent sequences: A316966 A316967 A316968 * A316970 A316971 A316972

Keyword

nonn,base

Author

K. D. Bajpai, Jul 17 2018

Status

approved