burger fun / Four Fours / Solver
Make 43 with four 4s
The classic four fours puzzle: build an expression from exactly four 4s that equals 43. 43 cannot be made with + - × ÷ alone (the solver checked every expression) — you will need to stick 4s together (like 44) or use decimals (like .4).
Solutions using only + - × ÷
No expression made of four plain 4s and + - × ÷ reaches 43 — the solver checked every possible expression.
Solutions with concatenation and decimals
44 - 4 / 4 = 4344 - .4 / .4 = 43
Solutions with square roots, factorials, exponents
44 - 4! / 4! = 4344 - (4 - 4)! = 4344 - (.4 - .4)! = 4344 - (4! - 4!)! = 434! + 4! - sqrt(4) / .4 = 43
…and 4 more at this tier.
11 distinct solutions found in total, after removing trivial rearrangements.
How 43 compares
43 has 11 distinct solutions across all three tiers — #23 scarcest of the 95 solvable targets. Next door, 42 has 53 solutions and 44 has 260 solutions. The nearest impossible target is 73, 30 away — proven unreachable, not just unsolved.
If 43 went down easily, make 37 with four 4s — 2 solutions, the nearest step up in scarcity.
Make 42 with four 4s · Make 44 with four 4s
The Number Lab
Same idea, different constraints: four 9s, four 4s, or any four digits you like.
- Four Nines — the daily puzzle
- Four Nines solver — every target, solved
- Four Fours — the 1881 original
- Four Fours solver — including the impossible five
- Make 24 solver — any four digits
- Today's 24 — one new hand a day
Got what you came for?
Stay for something you did not search for.
- Four Nines — the daily sibling: four 9s, one target, new at midnight
- The Reflex Lab — nine ways to measure your hands and memory, none of them polite about it
- hand me something weird — a random pick from the directory. Could be the horse.
Read up on the 1881 original, pick another number in the solver, or find more free math games.