Short description : Natural number
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, 1 7 9 = ∑ n = 1 ∞ P ( n ) × 1 0 − ( n + 1 ) = 0 . 0 1 2 6 5 8 2 2 7 8 … .
A Leyland number of the second kind .
In science
Signage for table 79 at a restaurant
In astronomy
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
↑ 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 .
↑ 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.
↑ "Sloane's A006567 : Emirps" . OEIS Foundation. https://oeis.org/A006567 .
↑ "Sloane's A046066 : Fortunate primes" . OEIS Foundation. https://oeis.org/A046066 .
↑ Numbers such that every cyclic permutation is a prime.
↑ "Sloane's A035497 : Happy primes" . OEIS Foundation. https://oeis.org/A035497 .
↑ "Sloane's A007459 : Higgs' primes" . OEIS Foundation. https://oeis.org/A007459 .
↑ "Sloane's A031157 : Numbers that are both lucky and prime" . OEIS Foundation. https://oeis.org/A031157 .
↑ "Sloane's A063980 : Pillai primes" . OEIS Foundation. https://oeis.org/A063980 .
↑ "Sloane's A007703 : Regular primes" . OEIS Foundation. https://oeis.org/A007703 .
Original source: https://en.wikipedia.org/wiki/79 (number). Read more