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

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

  • $\begingroup$ I can tell you the last 2 digits of red & yellow :P $\endgroup$ Oct 7, 2022 at 8:50
  • 1
    $\begingroup$ Haha. That's 90% of the job done! $\endgroup$ Oct 7, 2022 at 8:59

1 Answer 1



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


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


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.

  • $\begingroup$ @chandanr777 Should be correct now, counting is hard :) $\endgroup$ Oct 7, 2022 at 10:52
  • $\begingroup$ Haha. Yes. It's correct now. From my experience, good logicians usually make silly counting errors :) $\endgroup$ Oct 7, 2022 at 11:04
  • 1
    $\begingroup$ I always thought rot13(gung gur svefg qvtvg bs cv jnf n 3) :-) $\endgroup$
    – fljx
    Oct 7, 2022 at 11:21

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