Sun · Alternating sums of consecutive primes

For every positive integer m, find consecutive primes pₖ,…,pₙ within Sun’s stated bounds whose alternating sum pₙ−pₙ₋₁+⋯+(−1)ⁿ⁻ᵏpₖ equals m.

prime numbersalternating sumsprime bounds

The problem

For every positive integer m, find consecutive primes pₖ,…,pₙ within Sun’s stated bounds whose alternating sum pₙ−pₙ₋₁+⋯+(−1)ⁿ⁻ᵏpₖ equals m.

Open since2012exact formulation date

Last checked2026.07.27Catalog verification

Offer 01$1,000Zhi-Wei Sun

Personal offer

The official slides offer US$1,000 for the first proof.