novaBBS - rec.puzzles - Fixed-point (invariant) digit(s) upon squaring, power-iterations for Base 2, 3, 4, 5, 8, . . .

Fixed-point (invariant) digit(s) upon squaring, power-iterations for Base 2, 3, 4, 5, 8, . . .

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Subject: Fixed-point (invariant) digit(s) upon squaring, power-iterations
for Base 2, 3, 4, 5, 8, . . .
From: henha...@gmail.com (henh...@gmail.com)
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by: henh...@gmail.com - Sat, 3 Sep 2022 18:45 UTC

(if you think it's easy (or utterly trivial) ... you should prob. wait a few days before ....)

Some lowest digits (like 5 or 6) (doesn't) don't change when you Square the number.

Some lowest 2-digits (like 25 or 76) doesn't change when you Square the number. (or when you keep multiplying it with that same Number)

what are the counterpart
Fixed-point (invariant) digit(s) upon squaring, power-iterations
for Base 2, 3, 4, 5, 8, . . . ?

Subject	Author
Fixed-point (invariant) digit(s) upon squaring, power-iterations	henh...@gmail.com

Whom the gods wish to destroy they first call promising.

interests / rec.puzzles / Fixed-point (invariant) digit(s) upon squaring, power-iterations for Base 2, 3, 4, 5, 8, . . .