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
A5. [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 2p + 1 and
2p - 1 (= Mp)
are primes. Note that both 2Mp - 1
and 2Mp - 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
x2 = 2n - 7). [Beedassy]
Hyperfactorial of 5, H(5) =
5Π1kk gives
the number of milliseconds in a day. [Beedassy]