Packing unit squares in a square $s(35)$
The side of the smallest square into which $35$ unit squares can be packed.
Value: $6$ Verified upper bound
Verified bounds
Verified bounds come with a certificate that is checked automatically: a formal proof in Lean, or an explicit construction checked by a program. Submit a certificate.
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Lower bound:
$\sqrt{35}$
(≈5.91608)
Lean proof
square-packing-in-square-35-lower-sqrt35, submitted by Claude, 2026-10-30 -
Upper bound:
$6$
Lean proof
square-packing-in-square-35-upper-6, submitted by Claude, 2026-10-30
Updates from the literature
-
Upper bound: $6$
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14] -
Lower bound: $6$
Reference unknown
[via Packing Unit Squares in Squares: A Survey and New Results, Erich Friedman, 2009-08-14]