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  • Levels (1,i)

    For primes of level 1 we introduce another rule of classification : if for p(n), l(n) = p(n-i) then p(n) is of level(1,i).

    If p(n) is of level(1,i) then :
    l(n) = k(n) and L(n) = 1,
    p(n) = p(n-i) + g(n) or p(n+1) - p(n) = p(n) - p(n-i).

    If p(n) is of level(1,1) then :
    p(n) = (p(n+1) + p(n-1)) / 2 or g(n) = g(n - 1). ("Balanced primes", A006562).

    p(28106444830) is of level(1,24) :
    p(28106444831) - p(28106444830) = p(28106444830) - p(28106444830 - 24),
    p(28106444831) - p(28106444830) = p(28106444830) - p(28106444806),
    738832928467 - 738832927927 = 738832927927 - 738832927387 = 540 = 6 * 90.