RNGdle

Perfect Square Numbers

Numbers that fit in a square grid, exactly.

What is it?

A perfect square is an integer multiplied by itself: 1, 4, 9, 16 … 998001 = 999². Squares are geometry made arithmetic — the count of tiles in a square floor — and they thin out steadily as numbers grow.

  • Exact matches1,001
  • Odds1 in 999
  • Out of1,000,001

How it scores

Only 1,001 perfect squares exist in the range, so squaring your roll is worth around ten bits of score — a genuinely uncommon hit.

The formula: -log2(count / 1,000,001) bits per trait, capped at 20, summed with 0.5 decay per additional trait.

Highest-scoring perfect square numbers

  1. 1,000,000score 34.5 · Mythic
  2. 0score 32.6 · Mythic
  3. 1score 31.3 · Mythic
  4. 10,000score 26.3 · Mythic
  5. 64score 25.8 · Mythic
  6. 4,096score 25.7 · Mythic
  7. 262,144score 25.5 · Mythic
  8. 4score 25.2 · Mythic
  9. 100score 24.7 · Mythic
  10. 1,024score 23.7 · Mythic

Related patterns

FAQ

Is 0 a perfect square?

Yes — 0 × 0 = 0 — and RNGdle counts it. Whether you can roll it is another story.

What is the largest square in the range?

1,000,000 itself, which is 1000² — and also a round number, so it stacks.

How many perfect squares are there up to 1,000,000?

Exactly 1,001, from 0² to 1000².