(2/32)(3/32)(4/32)(5/32)(6/32)(7/32)(8/32)(9/32...

We can rewrite the product of these 31 fractions as a single expression using factorials:

P=2×3×4×…×323231cap P equals the fraction with numerator 2 cross 3 cross 4 cross … cross 32 and denominator 32 to the 31st power end-fraction (2/32)(3/32)(4/32)(5/32)(6/32)(7/32)(8/32)(9/32...

32!3231the fraction with numerator 32 exclamation mark and denominator 32 to the 31st power end-fraction , which is approximately We can rewrite the product of these 31

To "prepare paper" for the expression , we must first define the product's range and then calculate its value. Assuming the sequence continues until the numerator reaches the denominator's value ( ), the product is: the product is: