3 ms·
one should note that except for the number 2, all primes are odd so they are bound to be constrained to the "black squares of a chess board" so to speak
by DoctorOetker 9y ago
one should note that except for the number 2, all primes are odd so they are bound to be constrained to the "black squares of a chess board" so to speak
- goldenkey 9y agoThe same applies to any set of the first n primes. Each prime generates a waveform that destructively adds. 2 eliminates all even numbers. 3 eliminates all multiples of 3 - but has some overlap with 2. Turns out the additive sequence to never hit any multiples of 2 or 3 is {+4, +2} Not much more complex than 'only the odd squares' yet now we are eliminating many more false positives. We can continue to construct the additive sequences for the first N primes. This is known as the First Differences of Reduced Residue Systems Modulo Primorials. Hardy and Littlewood studied the statistical dynamics of these ordered sets.