# House numbers on Mathematics Street

House numbers on Mathematics Street follow a pattern.
Green blocks are empty spaces where no houses are built.

What are the house numbers of red and yellow blocks?
What is the reason behind empty spaces (green blocks) on the street?

• I can tell you the last 2 digits of red & yellow :P Oct 7, 2022 at 8:50
• Haha. That's 90% of the job done! Oct 7, 2022 at 8:59

First:

Create a sequence with the values of the first row and the reversed order of the second, so r, 3415, 4392, ..., 3326, 4543, g, g, g, ..., y

Then

The last two digits of each value are the nth digit of PI: r,r,1,5,9,2,6,5,3,5,...,1,9,y,y. The missing values are r=..14 and y=..71

And

Each of the first two digits of every value are the number of letters in the words formed by the digital recitation of Pi in the English language.: r,r,3,4,4,3,... (one, five, nine, two, ...). The missing values are r=34.. and y=53..

Red and Yellow:

Are therefore r = 3414 and y = 5371

The Greens:

Are invalid because 5538, 5332, 5479 are repetitions, and therefore would not constitute valid house numbers on the same street.

• @chandanr777 Should be correct now, counting is hard :) Oct 7, 2022 at 10:52
• Haha. Yes. It's correct now. From my experience, good logicians usually make silly counting errors :) Oct 7, 2022 at 11:04
• I always thought rot13(gung gur svefg qvtvg bs cv jnf n 3) :-)
– fljx
Oct 7, 2022 at 11:21