Location: School of Fish
Depth: 178

# Solution to p1ctures

### by Brian Chen

The puzzle page looks empty. However, there's a blank image file on it. The file name is p1cture.png.

The title says p1ctures, plural, and this is a clue that there are other image files in the same place that you have to access by guessing the image name. By guessing to check p2cture.png and so on, you find that:

• p2cture.png says "Keep going..."
• p3cture.png says "Don't stop..."
• p4cture.png says "That was fast. This is the end..."
• p5cture.png 404s
• p6cture.png says "...or is it?"
• p7cture.png 404s
• p8cture.png says "Hmm, maybe there's a pattern."
• p9cture.png says "You want the 1000th term."
• p10cture.png 404s
• p11cture.png 404s
• p12cture.png says "No more hints!"

The sequence 1, 2, 3, 4, 6, 8, 9, 12, ... begins the 3-smooth numbers — that is, numbers divisible by no primes other than 2 and 3. The 1000th term of this sequence is 36028797018963968 (which can be found with a program or directly on the OEIS, as it has 10000 terms), so you should check p36028797018963968cture.png. This image displays the answer, EKING.

(As an additional clue/easter egg, picture.png says "Sorry, there aren't any imaginary numbers in this puzzle. Nice try, though.")