You also can place:

else:
    print " this is not a number"



And:

    if guess == number:
        break

if guess == number:
    guessesTaken = str(guessesTaken)
    print 'Good job, ' + myName + "! You guessed the number in " +
guessesTaken + ' guesses!'

which could be combined.


 if guess == number:
        guessesTaken = str(guessesTaken)
        print 'Good job, ' + myName + "! You guessed the number in " +
guessesTaken + ' guesses!'
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