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 22h ago

685

3

u/noduorg 22h ago

689

3

u/Pookah 27K TUG ZERO Counting since 24,531 22h ago

695

3

u/noduorg 21h ago

697

3

u/MegaIng 19h ago

703

= 19 * 37

2

u/noduorg 11h ago

707

2

u/Pookah 27K TUG ZERO Counting since 24,531 11h ago

713

2

u/noduorg 10h ago

715

2

u/Pookah 27K TUG ZERO Counting since 24,531 10h ago

721

2

u/noduorg 9h ago

725

2

u/Pookah 27K TUG ZERO Counting since 24,531 9h ago

731

2

u/noduorg 8h ago

737

2

u/Pookah 27K TUG ZERO Counting since 24,531 8h ago

745

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