The least quantity that can not be written utilizing the numbers 1, 2, and three, every precisely as soon as, and any mixture of ordinary arithmetic operations (together with factorials) is 41. What is the least such quantity if the numbers 1, 2, 3, and 4 are allowed?

Allowed operations are addition, subtraction, multiplication, division, factorials, exponents, sq. roots, intermediate non-integer outcomes, and any quantity of parentheses and brackets. No different digits moreover considered one of every of 1, 2, 3, and 4.

(This is mainly what consumer Bernardo Recamán Santos requested 4 years in the past however simply with out utilizing 0. I’ve all of the numbers besides 86 and 93…)