Last Updated：2025/12/05

Dictionary quizzes to help you remember the meaning

Dictionary quizzes to help you remember the meaning

Fermat number

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Source Word

Fermat number

(number theory) An integer which is one more than two raised to a power which is itself a power of two (i.e., is expressible in the form 2^(2ⁿ)+1 for some n>0); equivalently, a number that is one more than two raised to some power (is expressible as 2ⁿ+1) and is prime.

Japanese Meaning

（数論）フェルマー数とは、2をあるべき乗（このべき乗自体が2のべき乗となっている）にした値に1を加えた整数、すなわち2^(2ⁿ)+1（n>0）の形で表される数であり、同値的に2のべき乗に1を加えた素数となる数を指します。

What is this buttons?

Despite their simple definition, a Fermat number can still surprise mathematicians with unexpected divisibility properties.

Google Translation / DeepL Translation

定義は単純でも、2^(2^n)+1 の形をした整数（フェルマー数）は予想外の約数に関する性質で数学者を驚かせることがある。

Sense（1）

(number theory) An integer which is one more than two raised to a power which is itself a power of two (i.e., is expressible in the form 2^(2ⁿ)+1 for some n>0); equivalently, a number that is one more than two raised to some power (is expressible as 2ⁿ+1) and is prime.

Fermat numbers

（ plural ）

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