97 (number) - in Mathematics

In Mathematics

97 is the 25th prime number (the largest two-digit prime number in base 10), following 89 and preceding 101. 97 is a Proth prime as it is 3 × 25 + 1.

The numbers 97, 907, 9007, 90007 and 900007 are happy primes. However, 9000007 (read as nine million seven) is composite and has the factorisation 277 × 32491.

97 is the tenth member of the Mian–Chowla sequence.

97 is the smallest factor of one more than the product of the first twenty-five terms of the Euclid–Mullin sequence, making it the twenty-sixth term.

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

97 is the highest two digit number where the sum of its digits are a square.

Read more about this topic:  97 (number)

Famous quotes containing the word mathematics:

    In mathematics he was greater
    Than Tycho Brahe, or Erra Pater:
    For he, by geometric scale,
    Could take the size of pots of ale;
    Resolve, by sines and tangents straight,
    If bread and butter wanted weight;
    And wisely tell what hour o’ th’ day
    The clock doth strike, by algebra.
    Samuel Butler (1612–1680)

    I must study politics and war that my sons may have liberty to study mathematics and philosophy.
    John Adams (1735–1826)