Permanent problem IDPPL 029
Number theory
Starting from any positive integer, repeatedly halve it when even and replace it by 3n + 1 when odd. Must the sequence always reach 1?
Starting from any positive integer, repeatedly halve it when even and replace it by 3n + 1 when odd. Must the sequence always reach 1?
Proof or disproof must appear in a qualifying journal, then stand for at least two years and gain broad acceptance. The host retains discretion over consideration, the winner and full or partial payment.
The legal terms allow amendment or withdrawal and make payment discretionary.
First solution of the ordinary 3n+1 conjecture. Computer-assisted proofs are allowed; legal recourse is excluded. The sponsor’s page gives a deadline of 31 December 2037.