burger fun / Four Fours / Solver

Make 95 with four 4s

The classic four fours puzzle: build an expression from exactly four 4s that equals 95. 95 cannot be made with + - × ÷, concatenation, or decimals (the solver checked every expression) — solutions need square roots, factorials, or exponents.

Solutions using only + - × ÷

No expression made of four plain 4s and + - × ÷ reaches 95 — the solver checked every possible expression.

Solutions with concatenation and decimals

Concatenation and decimals do not help for 95 either — every combination was checked.

Solutions with square roots, factorials, exponents

  • 4 × 4! - 4 / 4 = 95
  • 4 × 4! - .4 / .4 = 95
  • 4 × 4! - 4! / 4! = 95
  • 4 × 4! - (4 - 4)! = 95
  • 4 × 4! - (.4 - .4)! = 95

…and 3 more at this tier.

8 distinct solutions found in total, after removing trivial rearrangements.

Make 94 with four 4s · Make 96 with four 4s

The Number Lab

Same idea, different constraints: four 9s, four 4s, or any four digits you like.

Read up on the 1881 original, pick another number in the solver, or find more free math games.