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The Mertens conjecture was disproved in 1985.

The Longest Standing Mathematical Conjecture That Was Actually False

Ellie Sleightholm

Jul 28, 2024

• https://www.youtube.com/watch?v=9n7StQOhoDQ
  • 14m07s

WP: Franz Mertens
WP: Mertens function
WP: Mertens conjecture

Update (20250808): meanwhile this video is private and not available anymore.

• Donny Lee
  • Sep 5, 2007
    • Möbius Function - Merten's conjecture
      • https://www.youtube.com/watch?v=jjuNYAkPVTY

• Numberphile
  • Jan 23, 2020
    • A Prime Surprise (Mertens Conjecture) - Numberphile
      • https://www.youtube.com/watch?v=uvMGZb0Suyc