53 (number)

← 52 53 54 →
Cardinalfifty-three
Ordinal53rd
(fifty-third)
Factorizationprime
Prime16th
Divisors1, 53
Greek numeralΝΓ´
Roman numeralLIII, liii
Binary1101012
Ternary12223
Senary1256
Octal658
Duodecimal4512
Hexadecimal3516

53 (fifty-three) is the natural number following 52 and preceding 54. It is the 16th prime number.

In mathematics

53 is a prime number, a balanced prime, and an isolated prime.

53 is a sexy prime with 47 and 59. It is the eighth Sophie Germain prime,[1] and the ninth Eisenstein prime.[2]

53 is the smallest prime number that does not divide the order of any sporadic group, inclusive of the six pariahs; it is also the first prime number that is not a member of Bhargava's prime-universality criterion theorem (followed by the next prime number 59), an integer-matrix quadratic form that represents all prime numbers when it represents the sequence of seventeen integers {2, ..., 47, 67, 73}.[3]

References

  1. ^ Sloane, N. J. A. (ed.). "Sequence A005384 (sophie germain primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A005384 (Sophie Germain primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  3. ^ Sloane, N. J. A. (ed.). "Sequence A154363 (Numbers from Bhargava's prime-universality criterion theorem)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2024-04-22.
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