PPL 166 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.27
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Prize Problem LedgerZhi-Wei Sun prizesPPL 166Sun · A prime plus two Fibonacci numbers

Permanent problem IDPPL 166

Source-statedIndependentconjecture

Number theory

Sun · A prime plus two Fibonacci numbers

Every integer n>4 is the sum of an odd prime and two positive Fibonacci numbers, with one of the Fibonacci numbers odd.

prime numbersFibonacci numbersadditive number theory
01

The problem

Every integer n>4 is the sum of an odd prime and two positive Fibonacci numbers, with one of the Fibonacci numbers odd.

Open since2008exact formulation date
Last checked2026.07.27Catalog verification
02

Reward offers

Offer 01$5,000 proof · $250 counterexampleZhi-Wei Sun
Personal offer

US$5,000 is offered for the first positive solution published in a well-known mathematical journal; US$250 for the first explicit counterexample that the author can verify by computer.

Award source ↗
03

Sources & reading

2 unique reference linksAuthor’s refereed-paper preprint OEIS A154257
04

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