4294967297_(number) 4294967297_(number)

4294967297 (number) - Definition

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Cardinal four billion, two hundred [and] ninety-four million, nine hundred [and] sixty-seven thousand, two hundred [and] ninety-seven
Ordinal 4,294,967,297th (four billion, two hundred [and] ninety-four million, nine hundred [and] sixty-seven thousand, two hundred [and] ninety-seventh)
Factorization <math> 641 \cdot 6,700,417 <math>
Divisors 641, 6,700,417
Roman numeral <math>\overline\overline\overline\mbox{IV} \overline\overline\mbox{CCXCIV} \overline\mbox{CMLXVII} \mbox{CCXCVII}<math>
Binary 100000000000000000000000000000001
Octal 40000000001
Duodecimal 9BA461595
Hexadecimal 100000001


4,294,967,297 is the number after 4294967296 and before 4294967298. It is the smallest Fermat number that is not prime.

Fermat conjectured in 1637 that all numbers of the form <math>F_n = 2^{2^n}+1<math> are prime. Euler disproved this in 1732 by factorizing F5=4,294,967,297 into 641 and 6,700,417.

It does belong in an infinite coprime sequence defined by recursion. (Sloane A002716). It is also a member of the Pisot sequence L(5,9). (Sloane A020737).

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