See Wall-Sun-Sun prime in All languages combined, or Wiktionary
{
"etymology_text": "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.",
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"pos": "noun",
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"text": "Wall-Sun-Sun primes are conjectured to exist, but no example has yet been found.",
"type": "example"
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{
"ref": "1996, Richard E. Crandall, Topics in Advanced Scientific Computation, Springer, page 113:",
"text": "Not a single Wall-Sun-Sun prime 5#x3C;p#x3C;1.6#x5C;times 10#x7B;12#x7D; exists [McIntosh 1995]. Carry out a search for Wall-Sun-Sun primes somewhere above this limit.",
"type": "quote"
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{
"ref": "2020, Dorin Andrica, Ovidiu Bagdasar, Recurrent Sequences, Springer, page 88:",
"text": "Crandall et al. called in [56] such a prime number p satisfying p²#x5C;vertF#x5F;#x7B;p-(#x5C;fracp 5)#x7D; a Wall–Sun–Sun prime. There is no known example of a Wall–Sun–Sun prime and the congruence F#x5F;#x7B;p-(#x5C;fracp 5)#x7D;#x5C;equiv 0#x5C;pmod#x7B;p²#x7D;, can only be checked through explicit powering computations.",
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"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)."
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"(number theory) 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)."
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"word": "Fibonacci-Wieferich prime"
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"word": "Wall-Sun-Sun prime number"
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"sense": "conjectured prime number of a certain type",
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"word": "nombre premier de Wall-Sun-Sun"
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"sense": "conjectured prime number of a certain type",
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"word": "Wall-Sun-Sun-Primzahl"
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"word": "primo di Wall-Sun-Sun"
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"Donald Dines Wall",
"Sun Zhihong",
"Sun Zhiwei",
"Wall–Sun–Sun prime"
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"word": "Wall-Sun-Sun prime"
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{
"etymology_text": "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.",
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"text": "Wall-Sun-Sun primes are conjectured to exist, but no example has yet been found.",
"type": "example"
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{
"ref": "1996, Richard E. Crandall, Topics in Advanced Scientific Computation, Springer, page 113:",
"text": "Not a single Wall-Sun-Sun prime 5#x3C;p#x3C;1.6#x5C;times 10#x7B;12#x7D; exists [McIntosh 1995]. Carry out a search for Wall-Sun-Sun primes somewhere above this limit.",
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"ref": "2020, Dorin Andrica, Ovidiu Bagdasar, Recurrent Sequences, Springer, page 88:",
"text": "Crandall et al. called in [56] such a prime number p satisfying p²#x5C;vertF#x5F;#x7B;p-(#x5C;fracp 5)#x7D; a Wall–Sun–Sun prime. There is no known example of a Wall–Sun–Sun prime and the congruence F#x5F;#x7B;p-(#x5C;fracp 5)#x7D;#x5C;equiv 0#x5C;pmod#x7B;p²#x7D;, can only be checked through explicit powering computations.",
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"(number theory) 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)."
],
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"code": "fr",
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"sense": "conjectured prime number of a certain type",
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"word": "nombre premier de Wall-Sun-Sun"
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{
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"sense": "conjectured prime number of a certain type",
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"word": "Wall-Sun-Sun-Primzahl"
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"sense": "conjectured prime number of a certain type",
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"word": "primo di Wall-Sun-Sun"
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"word": "Wall-Sun-Sun prime"
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Download raw JSONL data for Wall-Sun-Sun prime meaning in English (3.1kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
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