2023 Version now available here.

The 4 digits of 2022 can be used to make numbers. You decide what to allow. Here we allow the four standard binary operations of +, -, x and √∑, with brackets for clarity. Then we introduce Concatenation, so 20 can be used; after that come powers and factorials. We’ve made 72% of numbers 1 to 50 keeping the digits in the order 2022. Another 6 (12%) could be found using the digits in some other order. Eight have not been found.

UPDATE Рsolutions for 13 (not in order), 36 in order and 40 (in order but uses square root) now found by R Backé, Sargent Park School, Winninpeg, Canada (and given only in the Excel file).

The following files are available