PPL 138 / 177 permanent IDsPrize Problem Ledger · PPLChecked 2026.07.26
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Prize Problem LedgerInstitutionalPPL 138Riemann hypothesis

Permanent problem IDPPL 138

Verified openInstitutionalconjecture

Number theory

Riemann hypothesis

Every non-trivial zero of the Riemann zeta function has real part 1/2.

analytic number theoryprime numberszeta function
01

The problem

Every non-trivial zero of the Riemann zeta function has real part 1/2.

A statement about the hidden order in the prime numbers, and the oldest problem in this index.

Open since1859exact
Last checked2026.07.26Catalog verification
02

Reward offers

Offer 01$1,000,000Clay Mathematics Institute
Institutional

Clay does not accept direct submissions. A proposed solution must be published in a qualifying outlet, at least two years must pass, and the work must gain general acceptance in the mathematics community while resolving the complete official formulation.

Award source ↗Rules ↗
03

Sources & reading

2 unique reference linksOfficial Clay problem page Claim or award rules
04

Related open targets

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