palindromes.py

#!/usr/bin/env python
# -*- coding: utf-8 -*-

def isPalindrome(whatever):
    reverse = ''
    for c in whatever:
        reverse = c + reverse
    
    return reverse == whatever

m = 0
n = 999999
print ("Testing palindromeness for %d to %d" % (m, n))
matches = []
for i in range(m, n):
    if isPalindrome(str(i)) and isPalindrome(str(bin(i))[2:]):
        matches.append(i)

print ("Matching:")        
for match in matches:
    print ("%s == %s " % (str(match), str(bin(match))))

printout

Testing palindromeness for 0 to 999999
Matching:
0 == 0b0
1 == 0b1
3 == 0b11
5 == 0b101
7 == 0b111
9 == 0b1001
33 == 0b100001
99 == 0b1100011
313 == 0b100111001
585 == 0b1001001001
717 == 0b1011001101
7447 == 0b1110100010111
9009 == 0b10001100110001
15351 == 0b11101111110111
32223 == 0b111110111011111
39993 == 0b1001110000111001
53235 == 0b1100111111110011
53835 == 0b1101001001001011
73737 == 0b10010000000001001
585585 == 0b10001110111101110001