wall-sun-sun prime
Word Rarity
Uncommon
Frequency: Zipf frequency 4.34 in modern English
22
Scrabble Score
15
Letters
6
Syllables
11
Unique Chars
Meaning
noun
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).
Example Sentences
- "Wall-Sun-Sun primes are conjectured to exist, but no example has yet been found."
- "Not a single Wall-Sun-Sun prime 5lt;plt;1.6#92;times 10#123;12#125; exists [McIntosh 1995]. Carry out a search for Wall-Sun-Sun primes somewhere above this limit."
- "Crandall et al. called in [56] such a prime number p satisfying p²#92;vertF#95;#123;p-(#92;fracp 5)#125; a Wall–Sun–Sun prime. There is no known example of a Wall–Sun–Sun prime and the congruence F#95;#123;p-(#92;fracp 5)#125;#92;equiv 0#92;pmod#123;p²#125;, can only be checked through explicit powering computations."
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.
Inflected Forms
Wall-Sun-Sun primes (plural)
Wall-Sun-Sun prime number (alternative)
Phrases
Frequently Paired Words
Synonyms
Fibonacci-Wieferich prime