burger fun / Four Nines / Solver

Make 41 with four 9s

The classic four nines puzzle: build an expression from exactly four 9s that equals 41. 41 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 9s and + - × ÷ reaches 41 — the solver checked every possible expression.

Solutions with concatenation and decimals

Concatenation and decimals do not help for 41 either — every combination was checked.

Solutions with square roots, factorials, exponents

  • (.9 + sqrt(9)! × sqrt(9)!) / .9 = 41
  • (sqrt(9) + sqrt(9)!! / sqrt(9)!) / sqrt(9) = 41
  • (sqrt(9)! + sqrt(9)!! / sqrt(9)) / sqrt(9)! = 41

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

How 41 compares

41 has 3 distinct solutions across all three tiers — #8 scarcest of all 100 targets. Next door, 40 has 237 solutions and 42 has 77 solutions.

If 41 went down easily, make 94 with four 9s — just one solution, the nearest step up in scarcity.

Make 40 with four 9s · Make 42 with four 9s

The Number Lab

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

Got what you came for?

Stay for something you did not search for.

  • Four Nines — the daily puzzle: 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.

Play the daily Four Nines puzzle, pick another number in the solver, or find more free math games.