Landau's problems

proper noun

Four basic unsolved problems about prime numbers: (i) is Goldbach's conjecture true?; (ii) is the twin prime conjecture true?; (iii) is Legendre's conjecture true?; (iv) are there infinitely many primes p such that p − 1 is a perfect square?

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Meanings

proper noun
  1. mathematicsFour basic unsolved problems about prime numbers: (i) is Goldbach's conjecture true?; (ii) is the twin prime conjecture true?; (iii) is Legendre's conjecture true?; (iv) are there infinitely many primes p such that p − 1 is a perfect square?

Origin

Listed by Edmund Landau at the International Congress of Mathematicians in 1912.

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Cite this entry
APA

Landau's problems. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/Landau's%20problems

MLA

“Landau's problems.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/Landau's%20problems. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “Landau's problems,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/Landau's%20problems.

Source: Landau's problems on Wiktionary, CC BY-SA 4.0.