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97 (number)

From Wikipedia, the free encyclopedia
96 97 98
Cardinalninety-seven
Ordinal97th
(ninety-seventh)
Factorizationprime
Prime25th
Divisors1, 97
Greek numeralϞΖ´
Roman numeralXCVII, xcvii
Binary11000012
Ternary101213
Senary2416
Octal1418
Duodecimal8112
Hexadecimal6116

97 (ninety-seven) is the natural number following 96 and preceding 98.

In mathematics

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97 is the 25th prime number, a happy prime, and an emirp with 79. It is the smallest odd prime that is not a cluster prime.[1] Because 97 = 3 × 25 + 1, 97 is a Proth prime and a Pierpont prime.[2] There are 97 primes less than 29.[3]

97 is the eleventh member of the Mian–Chowla sequence.[4]

Since there is no integer that added to its own digits adds up to 97, 97 isa self number in base 10.[5]

is a commonly used approximation of the irrational number √3.[citation needed]

References

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  1. Sloane, N. J. A. (ed.). "Sequence A038133 (Odd primes that are not cluster primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-08-19.
  2. "Sloane's A080076 : Proth primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  3. Sloane, N. J. A. (ed.). "Sequence A007053". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
  4. "Sloane's A005282 : Mian-Chowla sequence". The On-Line Encyclopedia of integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  5. "Sloane's A003052 : Self numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.