Sequence contiguosly the square root of whole integers that is irrational (√2, √3,√5,√6,√7,√8,√10,...,) and multiply them all with as many factors as necessary until its decimal exansion in binary matches a required pattern of a very large number of bits. The total number of factors that is required for those bits to be expressed will be an integer, a very large one, obviously. You write n √√m , where n is how many factors of contiguous irrationals are needed and m is the number of bits of the pattern.
ANSWER: "I understand the notation. You want to find the smallest integer n such that the product of the first n irrational square roots, multiplied together, has a binary expansion that matches a specific pattern of m bits.
So, the notation n √√m means:
n is the number of contiguous irrational square roots needed (e.g., √2, √3, √5, ..., √x)
m is the number of bits in the required pattern
For example, if n = 5 and m = 1024, you would need to find the product of the first 5 irrational square roots (√2, √3, √5, √6, and √7) multiplied by some factors, such that the resulting binary expansion matches a specific pattern of 1024 bits.
This is an extremely challenging problem, as it requires finding the smallest n such that the product of n irrational numbers, multiplied by some factors, results in a specific binary pattern of m bits. The value of n will indeed be very large, and the computation required to find it will be significant."