The harmonic series can be seen as starting with 11.........when using the zero dimension and combining numerator and denominator like that..........................11 is the where the jump from 7 to 11 happens..........................a jump of 4..........a difference of  4 at least..........and where the pf overlaps with the 4 primes that might be the clue as to how any prime can end in.............a prime above 10, i.e. in double digits onwards............can only end in a 1, a 3, a 7 or a 9........only using 2 and 5 as sieves............11 starting out the harmonic series like that is a big clue to several things at once.............



Extending that out...............as I have done tons of times before......but since I need to repeat everything........................11 + ...........19 + 110.............because 1/9 + 1/10........................10 ones.............as in 10 1's..............can be rearranged to be 110...........................

Harmonic series (mathematics)

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In mathematics, the harmonic series is the divergent infinite series:

${\displaystyle \sum _{n=1}^{\infty }{\frac {1}{n}}=1+{\frac {1}{2}}+{\frac {1}{3}}+{\frac {1}{4}}+{\frac {1}{5}}+\cdots }$

Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are 1/2, 1/3, 1/4, etc., of the string's fundamental wavelength. Every term of the series after the first is the harmonic mean of the neighboring terms; the phrase harmonic mean likewise derives from music.

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