17707Embracing symmetry in small prime numbers
- Mar 1, 2006Let px, px+1 be consecutive primes, N=product of optional primes up to
px or =1, M=product of the lacking primes up to px or =1, then
abs(N+-M) is prime, if less than (px+1)².
Ex.: 2*5*11 +- 3*7 = 131,89, both prime because less than 13²=169.
Thus one can observe an embracing symmetry within small prime numbers.
Generalization: instead of primes choose powers of primes.