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17707Embracing symmetry in small prime numbers

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  • Werner D. Sand
    Mar 1, 2006
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      Let 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.