79 (Number)

From Handwiki
Short description: Natural number
← 78 79 80 →
← 70 71 72 73 74 75 76 77 78 79 →
List of numbers — Integers
← 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
Quaternary10334
Quinary3045
Senary2116
Octal1178
Duodecimal6712
Hexadecimal4F16
Vigesimal3J20
Base 362736

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.
  • The 22nd prime number (between 73 and 83)
  • An isolated prime without a twin prime, as 77 and 81 are composite.[1]
  • 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 in base 10, 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, [math]\displaystyle{ \frac{1}{79}=\sum_{n=1}^\infty{P(n)\times 10^{-(n+1)}}=0.0126582278\dots\ . }[/math]
  • A Leyland number of the second kind.

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

See also: List of highways numbered 79
  • 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, N. J. A., ed. "Sequence A007510 (Single (or isolated or non-twin) primes: Primes p such that neither p-2 nor p+2 is prime.)". OEIS Foundation. https://oeis.org/A007510. Retrieved 2022-12-05. 
  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". OEIS Foundation. https://oeis.org/A006567. 
  4. "Sloane's A046066 : Fortunate primes". OEIS Foundation. https://oeis.org/A046066. 
  5. Numbers such that every cyclic permutation is a prime.
  6. "Sloane's A035497 : Happy primes". OEIS Foundation. https://oeis.org/A035497. 
  7. "Sloane's A007459 : Higgs' primes". OEIS Foundation. https://oeis.org/A007459. 
  8. "Sloane's A031157 : Numbers that are both lucky and prime". OEIS Foundation. https://oeis.org/A031157. 
  9. "Sloane's A063980 : Pillai primes". OEIS Foundation. https://oeis.org/A063980. 
  10. "Sloane's A007703 : Regular primes". OEIS Foundation. https://oeis.org/A007703. 



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