A267820 Primes whose base-6 representation is a square when read in base 10.

17, 89, 409, 449, 577, 953, 7649, 12401, 14593, 23689, 28393, 29033, 30689, 36809, 40153, 46457, 47969, 54577, 56393, 59273, 65033, 72649, 78713, 92033, 98953, 106033, 141353, 146249, 150209, 169657, 176489, 199889, 205433, 221849, 235273, 238481, 245033, 258569, 381841, 394633, 441193, 529273

Offset

1,1

Comments

Primes in the sequence A267766.

Links

Chai Wah Wu, Table of n, a(n) for n = 1..10000

Example

17 in base 6 is 25, and 25 = 5^2 in base 10.

Mathematica

Select[Prime@ Range@ 45000, IntegerQ@ Sqrt@ FromDigits@ IntegerDigits[#, 6] &] (* Michael De Vlieger, Jan 24 2016 *)

Prog

(Python)
from sympy import isprime
A267820_list = [int(d, 6) for d in (str(i**2) for i in range(1, 10**6)) if max(d) < '6' and isprime(int(d, 6))] # Chai Wah Wu, Feb 22 2016

Crossrefs

In other bases: A267817 - A267821, A241246, A267490.

Sequence in context: A139947 A162930 A138338 * A200670 A057638 A159676

Adjacent sequences: A267817 A267818 A267819 * A267821 A267822 A267823

Keyword

nonn,base

Author

Christopher Cormier, Jan 20 2016

Status

approved