Massimo Botti

An Elementary Composite-to-Prime Ratio Sequence as an Independent Numerical Probe of Riemann Zero Statistics

Number-theoretic constructions that reach the statistics of theRiemann zeta zeros are almost always built from analyticmachinery. This note studies a construction with none of that: aninteger sequence y(x), defined only as the ratio of the cumulative sumof composite numbers to th...

An Elementary Composite-to-Prime Ratio Sequence as an Independent Numerical Probe of Riemann Zero Statistics

Number-theoretic constructions that reach the statistics of theRiemann zeta zeros are almost always built from analyticmachinery. This note studies a construction with none of that: aninteger sequence y(x), defined only as the ratio of the cumulative sumof composite numbers to th...