Is there any relation between the numbers used in the blue lodge degrees in the mathematical sense?

The supplied sources do not set out a unified mathematical system linking the numbers used across the Craft degrees, though they do address specific mathematical and numerical properties associated with particular Masonic symbols and numbers 1.

The number three serves as a primary unit, with nine deriving its Masonic value as its square, expressed in Masonic language as "three times three" 1. In geometry, the 47th problem of Euclid relies on the right-angled triangle with side lengths of 3, 4, and 5, demonstrating the principle that the sum of the squares of the two sides equals the square of the hypotenuse 1.

Where higher powers or other numerical combinations appear—such as 27 or 81—Mackey notes that these are esteemed in advanced degrees rather than the Craft 1. Beyond these specific geometric and arithmetical properties, the passages do not trace a broader mathematical relation connecting the numbers of the three degrees.