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Primes whose base-5 representation is a square when read in base 10.
2

%I #17 Jun 29 2019 01:41:50

%S 89,139,4801,6829,9601,48661,305551,539849,867001,3503449,3527071,

%T 6063839,13912039,15933439,18100351,18319321,20366399,22849121,

%U 26239321,46724801,63565049,78057911,95802799,100294871,102369439,107474911,139769449,141118079,144829879,159468079,161483801

%N Primes whose base-5 representation is a square when read in base 10.

%C Primes in the sequence A267765.

%H Chai Wah Wu, <a href="/A267819/b267819.txt">Table of n, a(n) for n = 1..10000</a>

%e 89 in base 5 is 324, and 324 = 18^2 in base 10.

%t Select[Prime@ Range[10^6], IntegerQ@ Sqrt@ FromDigits@ IntegerDigits[#, 5] &] (* _Michael De Vlieger_, Jan 24 2016 *)

%o (Python)

%o from sympy import isprime

%o A267819_list = [int(d,5) for d in (str(i**2) for i in range(1,10**6)) if max(d) < '5' and isprime(int(d,5))] # _Chai Wah Wu_, Feb 22 2016

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

%K nonn,base

%O 1,1

%A _Christopher Cormier_, Jan 20 2016