Ninety-seven

This article deals with the number 97. For the year 97 AD, see 97 .

Ninety-seven
97
presentation
Roman	XCVII
dual	110 0001
Octal	141
Duodecimal	81
Hexadecimal	61
Morse code	- - - - - - · · ·
Mathematical properties
sign	positive
parity	odd
Factorization	Prime number
Divider	1, 97

The Ninety-seven (97) is the odd natural number 96-98.

mathematics

97 is:

• the 25th prime number and the largest two-digit prime number in the decimal system .
• a mirp number , since 79 is also prime.
• a proth number : . ${\displaystyle 3\cdot 2^{5}+1=97}$
• a Merry prime : . ${\displaystyle 97\rightarrow 9^{2}+7^{2}=130\rightarrow 1^{2}+3^{2}+0^{2}=10\rightarrow 1^{2}+0^{2}=1}$
• the sum of two squares : . ${\displaystyle 4^{2}+9^{2}=97}$
• a Pythagorean prime : and thus the hypotenuse of a primitive Pythagorean triple : . ${\displaystyle 4\cdot 24+1=97}$ ${\displaystyle 65^{2}+72^{2}=97^{2}}$

chemistry

• 97 is the ordinal number of Berkelium .

Individual evidence

1. ↑ A000040: prime numbers. In: The Online Encyclopedia of Sequences of Numbers. Accessed July 10, 2018 . 
2. ↑ A006567: emirps. In: The Online Encyclopedia of Sequences of Numbers. Accessed July 10, 2018 . 
3. ↑ A080076: Proth primes. In: The Online Encyclopedia of Sequences of Numbers. Accessed July 10, 2018 . 
4. ↑ A035497: happy primes. In: The Online Encyclopedia of Sequences of Numbers. Accessed July 10, 2018 . 
5. ↑ A001481: Numbers that are the sum of 2 squares. In: The Online Encyclopedia of Sequences of Numbers. Accessed July 10, 2018 . 
6. ↑ A002144: pythagorean primes. In: The Online Encyclopedia of Sequences of Numbers. Accessed July 10, 2018 . 
7. ^ Primitive Pythagorean Triples. Clark University, accessed July 10, 2018 .