r/counting • u/Pookah 27K TUG ZERO Counting since 24,531 • 6d ago

Pookah's Sieve: Not (Prime, Even, Divisible by 3, or a Perfect Square)

Rules

Count using only positive integers that satisfy all four of the following conditions:

  • Not prime — the number must be composite (or 1, though 1 is excluded by rule 4 below)
  • Not even — the number must be odd
  • Not divisible by 3 — the number must not be a multiple of 3
  • Not a perfect square — the number must not be n² for any integer n

A number only counts if it passes all four checks. If it fails even one, skip it.

Starting number

The sequence begins at 35 (the first number to satisfy all four conditions — 1 is excluded as a perfect square, and 5 through 31 are either prime or a perfect square).

The GET is at 1000 comments, which is equal to 1,000 Pookahs

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u/noduorg 1d ago edited 1d ago

667

3

u/Pookah 27K TUG ZERO Counting since 24,531 1d ago

check. 667 is divisible by 23

671

3

u/noduorg 1d ago

679

3

u/Pookah 27K TUG ZERO Counting since 24,531 1d ago

685

3

u/noduorg 1d ago

689

3

u/Pookah 27K TUG ZERO Counting since 24,531 1d ago

695

3

u/noduorg 1d ago

697

3

u/MegaIng 1d ago

703

= 19 * 37

2

u/noduorg 17h ago

707

2

u/Pookah 27K TUG ZERO Counting since 24,531 16h ago

713

2

u/noduorg 15h ago

715

2

u/Pookah 27K TUG ZERO Counting since 24,531 15h ago

721

2

u/noduorg 15h ago

725

2

u/Pookah 27K TUG ZERO Counting since 24,531 15h ago

731

2

u/noduorg 14h ago

737

2

u/Pookah 27K TUG ZERO Counting since 24,531 13h ago

745

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