79 (number)

From Wikipedia, the free encyclopedia
← 78 79 80 →
70 71 72 73 74 75 76 77 78 79
List of numbersIntegers
0 10 20 30 40 50 60 70 80 90
Cardinalseventy-nine
Ordinal79th
(seventy-ninth)
Factorizationprime
Prime22nd
Divisors1, 79
Greek numeralΟΘ´
Roman numeralLXXIX
Binary10011112
Ternary22213
Octal1178
Duodecimal6712
Hexadecimal4F16

79 (seventy-nine) is the natural number following 78 and preceding 80.

In mathematics[]

79 is:

  • An odd number.
  • The smallest number that can not be represented as a sum of fewer than 19 fourth powers.
  • A strictly non-palindromic number.[1]
  • The 22nd prime number (between 73 and 83)
  • The smallest prime number p for which the real quadratic field Q[p] has class number greater than 1 (namely 3).[2]
  • A cousin prime with 83.
  • An emirp, because the reverse of 79, 97, is also a prime.[3]
  • A Fortunate prime.[4]
  • A circular prime.[5]
  • A prime number that is also a Gaussian prime (since it is of the form 4n + 3).
  • A happy prime.[6]
  • A Higgs prime.[7]
  • A lucky prime.[8]
  • A permutable prime, with ninety-seven.
  • A Pillai prime,[9] because 23! + 1 is divisible by 79, but 79 is not one more than a multiple of 23.
  • A regular prime.[10]
  • A right-truncatable prime, because when the last digit (9) is removed, the remaining number (7) is still prime
  • A sexy prime (with 73).
  • The n value of the Wagstaff prime 201487636602438195784363.
  • Similarly to how the decimal expansion of 1/89 gives Fibonacci numbers, 1/79 gives Pell numbers, that is,

In science[]

  • The atomic number of the chemical element gold (Au) is 79.
Signage for table 79 at a restaurant.

In astronomy[]

  • Messier object 79 (M79), a magnitude 8.5 globular cluster in the constellation Lepus
  • New General Catalogue object 79 (NGC 79), a galaxy in the constellation Andromeda

In other fields[]

  • Live Seventy Nine, an album by Hawkwind
  • The years 79 BC, AD 79 or 1979
  • The number of the French department Deux-Sèvres
  • The ASCII code of the capital letter O.

References[]

  1. ^ "Sloane's A016038 : Strictly non-palindromic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  2. ^ H. Cohen, A Course in Computational Algebraic Number Theory, GTM 138, Springer Verlag (1993), Appendix B2, p.507. The table lists fields by discriminant, which is 4p for Q[p] when p is congruent to 3 modulo 4, as is the case for 79, so the entry appears at discriminant 316.
  3. ^ "Sloane's A006567 : Emirps". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  4. ^ "Sloane's A046066 : Fortunate primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  5. ^ Numbers such that every cyclic permutation is a prime.
  6. ^ "Sloane's A035497 : Happy primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  7. ^ "Sloane's A007459 : Higgs' primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  8. ^ "Sloane's A031157 : Numbers that are both lucky and prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  9. ^ "Sloane's A063980 : Pillai primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
  10. ^ "Sloane's A007703 : Regular primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
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