Last Updated :2025/12/08

Wall-Sun-Sun prime

Noun
Japanese Meaning
数論における仮説上の素数。具体的には、素数 p に対して、p² がフィボナッチ数列 Fₙ の p 番目のピサノ周期(フィボナッチ数列を p で割ったときの周期)におけるあるフィボナッチ数を割り切る性質を持つ素数を指す。
What is this buttons?

p^2がF_{π(p)}を割り切るような素数が存在すれば、それは数論と暗号理論の両方に重大な影響を与えるだろうが、いまだ発見されていない。

plural

Quizzes for review

(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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Wall-Sun-Sun prime

The only known Wall-Sun-Sun prime would have profound implications for both number theory and cryptography, but none has been found yet.

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The only known Wall-Sun-Sun prime would have profound implications for both number theory and cryptography, but none has been found yet.

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