Number Theory

    

Primorials and a Formula for Odd Abundant Numbers

Authors: Waldemar Puszkarz

We conjecture that a formula that represents a difference between two primorials of different parities generates only odd abundant numbers for its arguments greater than 3. Using PARI/GP, we verified this conjecture for the arguments up to $4*10^4$. We also discuss another formula that generates only odd abundant numbers in an arithmetic progression and explain its origin in the context of the distribution of odd abundant numbers in general.

Comments: 3 Pages. Originally published on Research Gate in March 2020

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Submission history

[v1] 2020-12-23 11:20:09
[v2] 2023-08-11 23:14:14

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