53 (number): Difference between revisions
→In mathematics: layout, and add as the first prime number that is not a member of Bhargava's prime-universality criterion theorem |
→In mathematics: punct |
||
Line 8: | Line 8: | ||
==In mathematics== |
==In mathematics== |
||
'''Fifty-three''' is the 16th [[prime number]] |
'''Fifty-three''' is the 16th [[prime number]]. It is the second [[balanced prime]], and fifth [[isolated prime]]. |
||
53 is a [[sexy prime]] with [[47 (number)|47]] and [[59 (number)|59]]. It is the eighth [[Sophie Germain prime]], and the ninth [[Eisenstein prime]].<ref>{{Cite OEIS|1=A005384|2=Sophie Germain primes|access-date=2016-05-30}}</ref> |
53 is a [[sexy prime]] with [[47 (number)|47]] and [[59 (number)|59]]. It is the eighth [[Sophie Germain prime]], and the ninth [[Eisenstein prime]].<ref>{{Cite OEIS|1=A005384|2=Sophie Germain primes|access-date=2016-05-30}}</ref> |
Revision as of 04:39, 23 April 2024
| ||||
---|---|---|---|---|
Cardinal | fifty-three | |||
Ordinal | 53rd (fifty-third) | |||
Factorization | prime | |||
Prime | 16th | |||
Divisors | 1, 53 | |||
Greek numeral | ΝΓ´ | |||
Roman numeral | LIII | |||
Binary | 1101012 | |||
Ternary | 12223 | |||
Senary | 1256 | |||
Octal | 658 | |||
Duodecimal | 4512 | |||
Hexadecimal | 3516 |
53 (fifty-three) is the natural number following 52 and preceding 54. It is the 16th prime number.
In mathematics
Fifty-three is the 16th prime number. It is the second balanced prime, and fifth isolated prime.
53 is a sexy prime with 47 and 59. It is the eighth Sophie Germain prime, and the ninth Eisenstein prime.[1]
The sum of the first 53 primes is 5830, which is divisible by 53, a property shared by only a few other numbers.[2][3]
53 cannot be expressed as the sum of any integer and its decimal digits, making 53 the ninth self number in decimal.[4]
53 is the smallest prime number that does not divide the order of any sporadic group, inclusive 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, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 67, 73}.[5]
In science
- The atomic number of iodine
Astronomy
- Messier object M53, a magnitude 8.5 globular cluster in the constellation Coma Berenices
- The New General Catalogue object NGC 53, a magnitude 12.6 barred spiral galaxy in the constellation Tucana
In other fields
Fifty-three is:
- The racing number of Herbie, a fictional Volkswagen Beetle with a mind of his own, first appearing in the 1968 film The Love Bug
- The code for international direct dial phone calls to Cuba
- 53 Days is a northeastern US rock band
- 53 Days a novel by Georges Perec
- In How the Grinch Stole Christmas!, and its animated TV special adaptation, the Grinch says he has put up with the Whos' Christmas cheer for 53 years.
- Fictional 53rd Precinct in the Bronx was found in the TV comedy "Car 54, Where Are You?"
- "53rd & 3rd" a song by the Ramones
- The number of Hail Mary beads on a standard, five decade Catholic Rosary (the Dominican Rosary).[6]
- The number of bytes in an Asynchronous Transfer Mode packet.
- UDP and TCP port number for the Domain Name System protocol.
- 53-TET (53 tone, equal temperament) is a musical temperament that has a fifth that is closer to pure than our current system.
- 53 More Things To Do In Zero Gravity is a fictional book mentioned in The Hitchhiker's Guide to the Galaxy
Sports
- The maximum number of players on a National Football League roster
- Most points by a rookie in an NBA playoff game, by Philadelphia's Wilt Chamberlain, 1960
- Most field goals (three-game series, NBA playoffs), by Michael Jordan, 1992
See also
References
- ^ Sloane, N. J. A. (ed.). "Sequence A005384 (Sophie Germain primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
- ^ Sloane, N. J. A. (ed.). "Sequence A045345 (Numbers n such that n divides sum of first n primes A007504(n).)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ Puzzle 31.- The Average Prime number, APN(k) = S(Pk)/k from The Prime Puzzles & Problems Connection website
- ^ Sloane, N. J. A. (ed.). "Sequence A003052 (Self numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
- ^ 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.
- ^ "Rosary Workshop: Rosary - origin of rosary prayers".