perplexus.info :: Sequences : 3-Digit Sequence in a Grid

3-Digit Sequence in a Grid (Posted on 2020-04-06)

In this 5x5 grid I have inserted a sequence of 24 3-digit numbers according to some algorithm. The next number goes into the center square; what is this 3-digit number? And what can you say about the algorith I used?

141 406 974 169 653

820 197 592 383 944

816 643 ??? 589 399

884 105 238 592 279

462 307 502 375 793

Hint: I found this puzzle idea one night last March while going through an old chest of drawers. I first tried to make the problem as a 4x4 grid, but I found I could not do it. I could have made larger grids (the sequence does not stop after the 25th number), but settled on 25 as a nice, round number.

Submitted by Larry

Rating: 5.0000 (1 votes)

Solution: (Hide)

Start in the upper left corner. Go on a knight's tour, as in chess. The numbers are the digits of pi broken into groups of three, not including the digit "3" before the decimal point.

I left several hints, including the "3" as the first character in the title, and some similar sounding words. Note: a knight's tour is not possible on a 4x4 grid.
The next 3 digits of pi: 286

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): Answer	Steve Herman	2020-04-06 15:28:59
re: Answer	Larry	2020-04-06 14:37:01
Answer	Math Man	2020-04-06 13:16:36

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