Dris's inequality conjecture for odd perfect numbers

From papers

Let N=qkn2N=q^k n^2 be an odd perfect number in Eulerian form, where qq is the special prime and gcd(q,n)=1\gcd(q,n)=1.

Dris's conjecture. The special-prime component is smaller than the remaining square-root component:

qk<n.q^k<n.

This is the formal restatement of Dris's inequality conjecture introduced earlier in the paper, so it is merged with that conjecture. The conjecture remains open.

Progress summary

Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.

Sources & referencesView supporting material

Primary source

Jose Arnaldo Bebita Dris, “A new approach to odd perfect numbers via GCDs”, arXiv:2202.08116 (2022).

Solutions 0

No solutions have been posted yet.