

A061246


Prime numbers with every digit a perfect square, i.e., consisting of only digits 0, 1, 4, 9.


8



11, 19, 41, 101, 109, 149, 191, 199, 401, 409, 419, 449, 491, 499, 911, 919, 941, 991, 1009, 1019, 1049, 1091, 1109, 1409, 1499, 1901, 1949, 1999, 4001, 4019, 4049, 4091, 4099, 4111, 4409, 4441, 4909, 4919, 4999, 9001, 9011, 9041, 9049, 9091, 9109, 9199
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OFFSET

1,1


LINKS

Chai Wah Wu, Table of n, a(n) for n = 1..10000
R. Ondrejka, The Top Ten: a Catalogue of Primal Configurations.


EXAMPLE

a(10) = 419, 419 is a prime and 1, 4 and 9 are squares.


MATHEMATICA

Select[FromDigits/@Tuples[{0, 1, 4, 9}, 4], PrimeQ] (* Harvey P. Dale, Sep 22 2019 *)


PROG

(Python)
from itertools import product
from sympy import isprime
A061246_list = [int(i+''.join(j)+k) for l in range(10) for i in '149' for j in product('0149', repeat=l) for k in '19' if isprime(int(i+''.join(j)+k))] # Chai Wah Wu, Jan 19 2019


CROSSREFS

Cf. A066591.
Sequence in context: A165944 A100557 A066591 * A068493 A167535 A184328
Adjacent sequences: A061243 A061244 A061245 * A061247 A061248 A061249


KEYWORD

base,nonn


AUTHOR

Amarnath Murthy, Apr 23 2001


EXTENSIONS

Corrected and extended by Jason Earls, May 17 2005
Edited by N. J. A. Sloane, Aug 29 2008 at the suggestion of R. J. Mathar


STATUS

approved



