# Complete the sequence (easy)

What three-digit numbers best complete the following sequence:

33, 45, 54, 32, 11, 23, ___?

There are two possible answers. One is composite and one is prime. Find both.

• Three-digit?... Jun 8 '16 at 16:12
• @nicael Yes, three-digit.
– user24855
Jun 8 '16 at 16:15

$322$ (composite) and $211$ (prime)

Reasoning

If you convert the numbers into musical notes so that $1, 2, 3$ are the 'do', 're', 'mi' of the musical scale, then the sequence with the composite number ending corresponds to the first line of "Ode to Joy" (from Beethoven's $9$th symphony) and the sequence with the prime number ending corresponds to the second line.

• Nice try. However if you don't get both answers at the same time, that means your answer is probably incorrect. (I should've put it this way :) )
– user24855
Jun 8 '16 at 16:41
• Okay, I've had a better idea. Jun 8 '16 at 16:46
• I've edited my answer to something different. Jun 8 '16 at 16:53
• Lol, how was it supposed to be easy? Not really obvious. Jun 8 '16 at 16:57
• lol maybe a riddle always seems easy to its author. :P
– user24855
Jun 8 '16 at 17:23