Althöfer · A divergent Xn+1 orbit

Determine whether some odd multiplier X≥5 and odd starting value n₀ produce an Xn+1 trajectory that tends to infinity.

Collatz variantsinteger iterationdiscrete dynamics

The problem

Determine whether some odd multiplier X≥5 and odd starting value n₀ produce an Xn+1 trajectory that tends to infinity.

Open sinceUnknowndate not stated

Last checked2026.07.27Catalog verification

Offer 01€25Ingo Althöfer

Personal offer

First solution wins; computer-assisted proofs are allowed, the sponsor excludes legal recourse, and the offer expires on 31 December 2037.

Published deadline: 2037-12-31