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Carolin Zöbelein

Publications and source records attributed to Carolin Zöbelein.

2 recordsLinked to original sources

The recursive structure of the distribution of primes

In this work I look at the distribution of primes by calculation of an infinite number of intersections. For this I use the set of all numbers which are not elements of a certain times table in each case. I am able to show that it exists a recursive relationship between primes of different ranges and so to describe some inner structure of this special set of numbers.

math.GM↗

About the proof of the Collatz conjecture

I want to show one possibility to proof the Collatz conjecture, also called 3n+1 conjecture, for any natural number N. For this, I limit my analysis on the direct odd follower of every natural odd number and show the connections between the already by one reached numbers and their followers, to find an recurrence over all ranges [1,N_{i}], to proof the conjecture.

math.GM↗