# 5

This number is a prime.

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Among the Platonic Solids the Dodecahedron and its dual the
Icosahedron have rotational symmetry groups isomorphic to
*A*_{5}. [Beedassy]

Evariste Galois was the first to show that equations of degree 5 cannot be solved by radicals. [Beedassy]

FIVE is the only prime written with an equal (prime) number of distinct vowels and consonants, i.e., IE & FV. [Beedassy]

Eugen J. Ionascu and collaborators were the first to establish that there can be no more than 5 Heron triangles (i.e., integer-sided triangles with integral areas) with two fixed prime sides. [Beedassy]

There is one chance in 5 for a random number on the number line to be an evil number. [Beedassy]

The only prime that is equidistant from a pair of primes by a prime (2) and also from a pair of nonprimes by a nonprime (4). [Beedassy]

The smallest prime *p* such that both 2*p* + 1 and
2^{p} - 1 (= *M*_{p})
are primes. Note that both 2*M*_{p} - 1
and 2^{Mp} - 1 are also
primes. [Beedassy]

The smallest prime *p* such that *p*! + 1 is the
square of a prime with a prime number of digits. [Beedassy]

The minimum number of Pythagorean triangles required to tile a square (C. Jepsen and R. Yang). [Beedassy]

The only prime *p* whose
seven-segment display representation requires *p*
segments. [Beedassy]

The minimum number of convex lattice points on a plane that ensures the inner region bounded inclusively by their diagonals contains another lattice point. [Beedassy]

According to Vedic philosophy, a living being's corporeal
body, distinct from its changeless spiritual entity,
eventually dissociates into the 5 basic elements of matter
("*Panch Mahabhuta Tatva*"), namely, Earth, Wind (or
Air), Fire, Water and Sky (or Ether). [Beedassy]

A revised paper by Terence Tao is titled 'Every odd number greater than one is the sum of at most 5 primes'. [Beedassy]

A square enlarged homothecically and constructed from the doubling of each of its sides cyclically produced undergoes a 5-fold increase in area. [Beedassy]

Only the first 5 hepatitis virus (A, B, C, D, E) among the seven known to date (A through G) remain the most common. [Beedassy]

*Cri-du-chat
syndrome* is a rare genetic disorder caused by an abnormality in chromosome number 5. [Beedassy]

A natural consequence of Faltings' theorem is that a hyperelliptic curve of degree 5 or more has only a finite number of rational points. [Beedassy]

"5-A-Day" is a US health-promoting slogan following a WHO recommendation that advises daily consumption of at least 5 varieties of fruits and vegetables to ensure proper nutrition. [Beedassy]

For a given prime *p*, at most 5 squares are short of
a power of 2 by *p*. (The maximal case, in particular,
corresponds to the Ramanujan-Nagell equation
*x ^{2}* = 2

*- 7). [Beedassy]*

^{n}
Hyperfactorial of 5, H(5) =
^{5}Π_{1}*k*^{k} gives
the number of milliseconds in a day. [Beedassy]