Phrase guide

Wall-Sun-Sun prime

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

A (hypothetical) prime number p such that p2 divides F_π(p), where F_n is the Fibonacci sequence and π(p) is the pth Pisano period (the period length of the Fibonacci sequence reduced modulo p).

Definition source: English Wiktionary via Wiktextract

Topics: mathematics, number-theory, sciences

Examples

  • Wall-Sun-Sun primes are conjectured to exist, but no example has yet been found.

Meaning relationships

Synonyms: Fibonacci-Wieferich prime

Antonyms: none provided

History

Etymology

Named after American mathematician Donald Dines Wall and Chinese mathematicians Sun Zhihong and Sun Zhiwei, who have all contributed to the study of such primes.

Across languages

Translations

3 source translations are retained for this English entry.

  • French: nombre premier de Wall-Sun-Sun — conjectured prime number of a certain type
  • German: Wall-Sun-Sun-Primzahl — conjectured prime number of a certain type
  • Italian: primo di Wall-Sun-Sun — conjectured prime number of a certain type