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an exponent notation by prime factorisation, which remained in use up until the eighteenth century and acquired the name Arabic exponent notation. The
Prime factor exponent notation
Prime_factor_exponent_notation
Arithmetic operation
the exponents must be constant. As calculation was mechanized, notation was adapted to numerical capacity by conventions in exponential notation. The
Exponentiation
Obsolete mathematical term representing the eighth power of a number
x^{1}} , as demonstrated in the examples provided in the book). Prime factor exponent notation Quinion, Michael, "Zenzizenzizenzic - the eighth power of a
Zenzizenzizenzic
Method for representing or encoding numbers
Positional notation, also known as place-value notation, is the property of a numeral system that the value represented by each symbol in a written numeral
Positional_notation
Mathematical function, inverse of an exponential function
In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the
Logarithm
17th-century conjecture proved by Andrew Wiles in 1994
were able to extend the proof to cover all prime exponents up to four million, but a proof for all exponents was considered exceedingly difficult or unachievable
Fermat's_Last_Theorem
Describes approximate behavior of a function
number theory, big O notation expresses bounds on the growth of an arithmetical function, as for the remainder term in the prime number theorem. In mathematical
Big_O_notation
Positive integer of the form (2^(2^n))+1
with an odd exponent (sequence A070265 in the OEIS), then all generalized Fermat numbers can be factored algebraically, so they cannot be prime. See for
Fermat_number
Product of numbers from 1 to n
formula, describing the exponents in the factorization of factorials into prime powers, in an 1808 text on number theory. The notation n ! {\displaystyle n
Factorial
Base-16 numeric representation
when the denominator in lowest terms has a prime factor not found in the radix; thus, when using hex notation, all fractions with denominators that are
Hexadecimal
Number divisible only by 1 and itself
O notation means that each time bound should be multiplied by a constant factor to convert it from dimensionless units to units of time; this factor depends
Prime_number
Numbers significantly larger than those used regularly
numbers in scientific notation, say 5×104 and 2×105, compare the exponents first, in this case 5 > 4, so 2×105 > 5×104. If the exponents are equal, the mantissa
Large_numbers
Computer format for representing real numbers
596×10−10 because 9 of the bits are allocated to the sign and exponent of the dynamic scaling factor which is not used over this limited range of values. For
Fixed-point_arithmetic
Base-12 numeral system
found by adding one to each exponent of each prime and multiplying the resulting quantities together, so the number of factors of 10 n {\displaystyle 10^{n}}
Duodecimal
growth of two functions. See Big O notation § Related asymptotic notations. 5. In number theory, may denote the prime omega function. That is, ω ( n )
Glossary of mathematical symbols
Glossary_of_mathematical_symbols
Natural number
136,048,896 = 116642 = 1084 136,279,841 = The largest known Mersenne prime exponent, as of October 2024 139,854,276 = 118262, the smallest zeroless base
100,000,000
Infinitely many prime numbers exist
not in the list, namely, q itself. If q is not prime, then some prime factor p divides q. If this factor p were in our list, then it would also divide
Euclid's_theorem
Type of mathematical expression
having two notations for a single mathematical object may be formally resolved by considering the general meaning of the functional notation for polynomials
Polynomial
Book by Robert Recorde
on the prime factorization of the exponent: a factor of two he termed a zenzic, and a factor of three, a cubic. Recorde termed the larger prime numbers
The_Whetstone_of_Witte
Two raised to an integer power
32 (25). Similarly, a prime number (like 257) that is one more than a positive power of two is called a Fermat prime—the exponent itself is a power of
Power_of_two
Ten raised to an integer power
or written out as digits, but instead are typically described with exponent notation. The sequence of powers of ten can also be extended to negative powers
Power_of_10
Arithmetical operation
sign (either × or × {\displaystyle \times } ) between the factors (that is, in infix notation). For example, 2 × 3 = 6 , {\displaystyle 2\times 3=6,} ("two
Multiplication
Mathematical project in integer factorization
two cubes), which depend on the exponent, and aurifeuillean factors, which depend on both the base and the exponent. From elementary algebra, ( b k n
Cunningham_Project
Generalised alphabetical order
of two numbers is the smaller. On the other hand, with the positional notation of the Hindu–Arabic numeral system, comparing numbers is easy, because
Lexicographic_order
Decimal representation of a number whose digits are periodic
its denominator has at least a prime factor different from 2 and 5 (a prime denominator is considered as a prime factor of itself), or in other words,
Repeating_decimal
Operations on ordinals that extend classical arithmetic
1, ..., k and sends all other elements of β to 0. While the same exponent notation is used for ordinal exponentiation and cardinal exponentiation, the
Ordinal_arithmetic
Integer factorization algorithm
π(B) + 1 numbers ai such that bi = (ai2 mod n) is B-smooth. Factor the bi and generate exponent vectors mod 2 for each one. Use linear algebra to find a
Quadratic_sieve
Exponentation in modular arithmetic
leaves a remainder of c = 8. When b and m are relatively prime, one can also allow the exponent e to be negative by finding the multiplicative inverse d
Modular_exponentiation
Highest power of p dividing a given number
p-adic valuation or p-adic order of an integer n is the exponent of the highest power of the prime number p that divides n. It is denoted ν p ( n ) {\displaystyle
P-adic_valuation
Branch of elementary mathematics
normalized scientific notation of the number 8276000 is 8.276 × 10 6 {\displaystyle 8.276\times 10^{6}} with significand 8.276 and exponent 6, and the normalized
Arithmetic
Number system extending the rational numbers
of positive and negative powers of non-zero prime ideals of D. Therefore, writing ordP(x) for the exponent of P in this factorization gives a well-defined
P-adic_number
of primes <= 213. 1029 = can be written from base 2 to base 18 using only the digits 0 to 9. 1030 = generalized heptagonal number 1031 = exponent and
1000_(number)
Computer approximation for real numbers
exponent—to the right if the exponent is positive or to the left if the exponent is negative. Using base-10 (the familiar decimal notation) as an example, the
Floating-point_arithmetic
Number without repeated prime factors
square-free if and only if in the prime factorization of n {\displaystyle n} , no prime factor occurs with an exponent larger than one. Another way of stating
Square-free_integer
(Mathematical) decomposition into a product
asserts that every positive integer may be factored into a product of prime numbers, which cannot be further factored into integers greater than 1. Moreover
Factorization
Arithmetic operation
be typed as a simple sequence of ASCII characters. (It is also the only notation used for quotient objects in abstract algebra.) Some mathematical software
Division_(mathematics)
Theorem in number theory
r, where r is square-free. Since only the k primes p1, ..., pk can show up (with exponent 1) in the prime factorization of r, there are at most 2k different
Divergence of the sum of the reciprocals of the primes
Divergence_of_the_sum_of_the_reciprocals_of_the_primes
Number of prime factors of a natural number
theory, the prime omega functions ω ( n ) {\displaystyle \omega (n)} and Ω ( n ) {\displaystyle \Omega (n)} count the number of prime factors of a natural
Prime_omega_function
itself Prime number theorem Distribution of primes Composite number – Number made of two smaller integers Factor – A number that can be divided from its original
Outline_of_arithmetic
A prime p divides a^p–a for any integer a
theorem states that if p is a prime number, then for any integer a, the number ap − a is an integer multiple of p. In the notation of modular arithmetic, this
Fermat's_little_theorem
Commutative group (mathematics)
{\displaystyle p} ). Fix a prime p {\displaystyle p} and suppose the exponents e i {\displaystyle e_{i}} of the cyclic factors of the Sylow p {\displaystyle
Abelian_group
Arithmetic operation, inverse of nth power
raising a number to the nth power, and can be written as a fractional exponent: x n = x 1 / n . {\displaystyle {\sqrt[{n}]{x}}=x^{1/n}.} For a positive
Nth_root
Group of units of the ring of integers modulo n
the simpler notation Z n {\displaystyle \mathbb {Z} _{n}} is often used, though it can be confused with the p-adic integers when n is a prime number. The
Multiplicative group of integers modulo n
Multiplicative_group_of_integers_modulo_n
Exponential function of an exponential function
bounds are double exponential. Odd perfect numbers with n distinct prime factors are known to be at most 2 4 n {\displaystyle 2^{4^{n}}} , a result of
Double_exponential_function
Number equal to the sum of its proper divisors
about the exponents e1, ..., ek. Not all ei ≡ 1 (mod 3). Not all ei ≡ 2 (mod 5). If all ei ≡ 1 (mod 3) or 2 (mod 5), then the smallest prime factor of N must
Perfect_number
Mathematical form
number is a product of prime numbers, that is unique up to the order of the factors. With the introduction of mathematical notation and variables at the
Product_(mathematics)
Factorization algorithm
in Big-O and L-notations. It is a generalization of the special number field sieve: while the latter can only factor numbers of a certain special
General_number_field_sieve
Abrahamic religions. Mathematics: 11 is the first prime exponent that does not yield a Mersenne prime. Music: There are 12 notes in the chromatic scale
Orders_of_magnitude_(numbers)
Nearest integers from a number
1096259850353149530222034277. Let n be a positive integer and p a positive prime number. The exponent of the highest power of p that divides n! is given by a version
Floor_and_ceiling_functions
Number of integers coprime to and less than n
This article uses technical mathematical notation for logarithms. All instances of log ( x ) {\displaystyle \log(x)} without a subscript base should
Euler's_totient_function
Complex number whose real and imaginary parts are both integers
b=i^{n}\prod _{m}{p_{m}}^{\mu _{m}},} where the primes pm are pairwise non associated, and the exponents μm non-associated, a greatest common divisor is
Gaussian_integer
Theorem in arithmetic combinatorics
Li and Roche-Newton attaining an exponent of δ = 1/19 in the notation of the above table. When 𝔽 = 𝔽p for p prime, the sum-product problem is considered
Erdős–Szemerédi_theorem
Experimental design in statistics
experiment) investigates how multiple factors influence a specific outcome, called the response variable. Each factor is tested at distinct values, or levels
Factorial_experiment
Zero after the final non-zero digit of a number
that comes after the last nonzero digit in a number string in positional notation. For digits before the decimal point, the trailing zeros between the decimal
Trailing_zero
Number that is not a ratio of integers
Like all real numbers, irrational numbers can be expressed in positional notation, notably as a decimal number. In the case of irrational numbers, the decimal
Irrational_number
Classification system for symmetry groups in geometry
with vertical positioning of numbers, but later abbreviated with an exponent notation, like [...,3p,q] or [3p,q,r], starting with [31,1,1] or [3,31,1] =
Coxeter_notation
Mathematical constant
h(n) = the smallest exponent appearing in the unique prime factorization of each natural number n > 1, o is little o notation, and the constant c is
Niven's_constant
Digital signature scheme
under chosen-message attack. Rabin signatures resemble RSA signatures with exponent e = 2 {\displaystyle e=2} , but this leads to qualitative differences that
Rabin_signature_algorithm
16-bit combinations. 65537, 216 + 1, the most popular RSA public key prime exponent in most SSL/TLS certificates on the Web/Internet. 16777216, 224, or
List_of_numbers
Rules for computing derivatives of functions
′ ( x ) + b g ′ ( x ) {\textstyle h'(x)=af'(x)+bg'(x)} . In Leibniz's notation, this formula is written as: d ( a f + b g ) d x = a d f d x + b d g d
Differentiation_rules
and other positional numeral systems with a radix of 15 or greater an exponent in decimal numbers. For example, 1.2E3 is 1.2×103 or 1200 the set of edges
Latin letters used in mathematics, science, and engineering
Latin_letters_used_in_mathematics,_science,_and_engineering
Number of subsets of a given size
number of carries when m and n are added in base p. Equivalently, the exponent of a prime p in ( n k ) {\displaystyle {\tbinom {n}{k}}} equals the number of
Binomial_coefficient
Count of the possible partitions of a set
as the same if they have the same factors in a different order. For instance, 30 is the product of the three primes 2, 3, and 5, and has B 3 {\displaystyle
Bell_number
Swiss mathematician (1707–1783)
"exponent" to propose a derivation of the gradus suavitatis (degree of suavity, of agreeableness) of intervals and chords from their prime factors –
Leonhard_Euler
Theorem in transcendental number theory
lexicographic order and by choosing for each factor in the product the term with non-zero coefficient which has maximum exponent according to this ordering: the product
Lindemann–Weierstrass_theorem
Number whose square is a given number
non-negative x, the principal square root can also be written in exponent notation, as x 1 / 2 {\displaystyle x^{1/2}} . Every positive number x has
Square_root
Smallest positive number divisible by two integers
every rational number can be written uniquely as the product of primes, if negative exponents are allowed. When this is done, the above formulas remain valid
Least_common_multiple
Algorithmic runtime requirements for common math procedures
computations on a multitape Turing machine. See big O notation for an explanation of the notation used. Note: Due to the variety of multiplication algorithms
Computational complexity of mathematical operations
Computational_complexity_of_mathematical_operations
Algorithm in number theory
multiply together these various relations in such a way that the exponents of the primes on the right-hand side are all even: z 1 2 z 2 2 ⋯ z k 2 ≡ ∏ p
Dixon's_factorization_method
Arithmetic function related to the divisors of an integer
obtained by multiplying together the first n Fermi–Dirac primes, prime powers whose exponent is a power of two. Clearly, 1 < σ 0 ( n ) < n {\displaystyle
Divisor_function
Conjecture in number theory
{2}{3}}c.\end{aligned}}} By replacing the exponent 6n with other exponents forcing b to have larger square factors, the ratio between the radical and c can
Abc_conjecture
Collection of mathematical objects
explains the terminology and the notation, since exponentiation with integer exponents is a product where all factors are equal to the base. The power
Set_(mathematics)
Infinite products of functions indexed by primes
following examples will use the notation P {\displaystyle \mathbb {P} } for the set of all primes, that is: P = { p ∈ N ∣ p is prime } . {\displaystyle \mathbb
Euler_product
Number that remains the same when its digits are reversed
understood to be those numbers that contain a factor of the primorial n#, where n≥13 and is the largest prime factor in the number. Fuller called these numbers
Palindromic_number
scaled complementary error function. erfi – imaginary error function. etr – exponent of the trace. excsc – excosecant function. (Also written as coexsec.) exsec
List of mathematical abbreviations
List_of_mathematical_abbreviations
Proof that a number is prime
has fewer prime factors than bits, and each of these can be done by exponentiation by squaring in O(log n) multiplications (see big-O notation). Even with
Primality_certificate
Used to count, measure, and label
fractional part has a denominator whose prime factors are 2 or 5 or both, because these are the prime factors of 10, the base of the decimal system. Thus
Number
Algebraic structure
} The tuple of exponents α = (α1, …, αn) is called the multidegree or exponent vector of the monomial. For a less cumbersome notation, the abbreviation
Polynomial_ring
Analytic function in mathematics
'(x)\right]\left(x^{\frac {s-1}{2}}+x^{-{\frac {s}{2}}}\right)dx} Remove a factor of x−1/4 to make the exponents in the remainder opposites. ξ ( s ) = 2 ∫ 1 ∞ d d x [ x
Riemann_zeta_function
Solution of a simplified form of an equation
{\textstyle z} using scaling exponent λ {\textstyle \lambda } . The dominant balance method selects a scaling exponent λ {\textstyle \lambda } to generate
Method_of_dominant_balance
Reduction of a ring by one of its ideals
{\displaystyle +} and ⋅ {\displaystyle \cdot } operations. Quotient ring notation almost always uses a fraction slash " / {\displaystyle /} "; stacking
Quotient_ring
Technical standard
keys, where the number of distinct primes may be two or more. When dealing with multi-prime keys, the prime factors are all generally labeled as r i {\displaystyle
PKCS_1
Number of partitions of an integer
the notation ( m , k ) = 1 {\displaystyle (m,k)=1} means that the sum is taken only over the values of m {\displaystyle m} that are relatively prime to
Partition function (number theory)
Partition_function_(number_theory)
Finite sum formed using the exponential function
n ) {\displaystyle \sum _{n}a_{n}e(x_{n})} it is the same as allowing exponents that are complex numbers. Both forms are certainly useful in applications
Exponential_sum
Natural number
number of prime knots with 17 crossings 8,108,731 = repunit prime in base 14 8,388,607 = second composite Mersenne number with a prime exponent 8,388,608
1,000,000
three stages, corresponding to stages in the development of mathematical notation: a "rhetorical" stage in which calculations are described purely by words
Timeline_of_mathematics
Mathematical set with repetitions allowed
notation is that it allows using the notation without knowing the exact support. For example, the prime factors of a natural number n {\displaystyle
Multiset
Function whose domain is the positive integers
the primes, where all but a finite number have a zero exponent. Define the p-adic valuation νp(n) to be the exponent of the highest power of the prime p
Arithmetic_function
Mathematical conjecture on the Riemann zeta function
coefficients are conjectured to be the product of an elementary factor, a certain product over primes, and the number of n × n Young tableaux given by the sequence
Lindelöf_hypothesis
Educational technology company
Simplifying monomial and binomial expressions (e.g. factoring/distributing a single term, exponent addition/subtraction); Logarithms, radicals, and exponential
Yup_Technologies
Product of an integer with itself
6\times 8=48} . Since a prime number has factors of only 1 and itself, and since m = 2 is the only non-zero value of m to give a factor of 1 on the right side
Square_number
Special-purpose integer factorization algorithm
number of elements in the factor base. Second, multiply together subsets of these relations in such a way that all the exponents are even, resulting in congruences
Special_number_field_sieve
Unsolved problem in computer science
theoretical polynomial algorithm may have extremely large constant factors or exponents, rendering it impractical. For example, the problem of deciding whether
P_versus_NP_problem
Extension of the factorial function
( n ) = n ! {\displaystyle \Gamma (n)=n!} . Consider that the notation for exponents, x n {\displaystyle x^{n}} , has been generalized from integers
Gamma_function
Probability distribution
positive parameters, denoted by alpha (α) and beta (β), that appear as exponents of the variable and its complement to 1, respectively, and control the
Beta_distribution
Methods to test or prove primality
factoring, which become unwieldy with large input; modern algorithms treat the problems of determining whether a number is prime and what its factors
Elliptic_curve_primality
Irreducible polynomial whose roots are nth roots of unity
the representation of 1/p in the numeral base b (see Unique prime; this explains the notation choice). The definition of the multiplicative order implies
Cyclotomic_polynomial
Mathematical connection between field theory and group theory
quadratic factor, and hence is irreducible. Thus its modulo 3 Galois group contains an element of order 5. It is known that a Galois group modulo a prime is
Galois_theory
Result of multiplying six instances of a number
sum of just six sixth powers. This makes it unique among the powers with exponent k = 1, 2, ... , 8, the others of which can each be expressed as the sum
Sixth_power
Calculations where numbers' precision is only limited by computer memory
in a floating-point format as a significand multiplied by an arbitrary exponent. However, since division almost immediately introduces infinitely repeating
Arbitrary-precision arithmetic
Arbitrary-precision_arithmetic
PRIME FACTOR-EXPONENT-NOTATION
PRIME FACTOR-EXPONENT-NOTATION
Surname or Lastname
English
English : from the Old Norse personal name GrÃmr, which remained popular as a personal name in the form Grim in Anglo-Scandinavian areas well into the 12th century. It was a byname of Woden with the meaning ‘masked person’ or ‘shape-changer’, and may have been bestowed on male children in an attempt to secure the protection of the god. The Continental Germanic cognate grÄ«m was also used as a first element in compound names. Compare Grimaud and Gribble, with the original sense ‘mask’, ‘helmet’. Some examples of the surname may derive from short forms of such names.
Girl/Female
Arabic, Muslim
Opponent
Male
Spanish
Spanish form of Roman Latin Victor, VÃCTOR means "conqueror."
Surname or Lastname
English
English : from a Middle English personal name or nickname. The personal name existed in Old English, and is probably derived from Old English prim ‘early morning’ (from Latin primus ‘first’, used as the name of one of the canonical hours). The surname may be derived from this word as a Middle English nickname in the sense ‘fine’, ‘excellent’.French : feminine form of Prim 3.Dutch : variant of Priem.Probably an Americanized spelling of German Preim, a topographic name (of Slavic origin), perhaps from a river near Hannover; or of Preime, a variant of Primus.
Male
Spanish
Spanish name derived from Latin Pastor, PASTOR means "shepherd." St. Pastor was a 9-year-old boy who along with his 13-year-old brother, Justus, was martyred at Alcalá de Henares in the early 4th century.
Boy/Male
Australian, British, Christian, English, Welsh
Son of Rhys; Ardent; Son of the Ardent; Prize
Male
Icelandic
Perhaps a modern form of Icelandic Fylkir, FALKOR means "people, tribe."Â
Male
Arthurian
, sir Hector de Maris; (defender).
Surname or Lastname
German
German : of uncertain origin; possibly from the Latin personal name Primus (‘the first’), borne by several saints; or one composed with a Germanic word meaning ‘to prick or stab’; or from a personal name of Slavic origin Primm, from prēmu ‘right’.French : from a personal name (from Latin Primus).French : nickname from Old French prim ‘first’, possibly given to the eldest child in a family, or alternatively a nickname from Old French and Occitan prim ‘shrewd’, ‘clever’, ‘artful’, ‘sly’.Dutch : variant of Priem.English : variant of Prime.Some of the Prim families in VT descend from a Simon Laval dit Printemps, who was known in English-speaking areas as Seymour Prim.
Male
English
Roman Latin name VICTOR means "conqueror."Â
Girl/Female
Muslim
Opponent
Boy/Male
English American
Doctor; teacher.
Surname or Lastname
English
English : unexplained.Serbian : unexplained.
Surname or Lastname
Welsh
Welsh : Anglicized form of Welsh ap Rhys ‘son of Rhys’ (see Reece). This is one of the commonest of Welsh surnames. It has also been established in Ireland since the 14th century, where it is sometimes a variant of Bryson.English : the name is also found very early in parts of England far removed from Welsh influence (e.g. Richard Prys, Essex 1320), and in such cases presumably derives from Middle English, Old French pris ‘price’, ‘prize’, perhaps as a metonymic occupational name for a fixer of prices.Americanized spelling of Jewish Preuss or Preis.
Surname or Lastname
French and Italian
French and Italian : occupational name from French, northern Italian sartor ‘tailor’ (Latin sartor).English : topographic name denoting someone who lived on land which had been cleared for cultivation, Old French assart, essart ‘woodland cleared for cultivation’ + the habitational suffix -er.
Girl/Female
Latin
Firstborn.
Male
English
English surname transferred to forename use, derived from the Middle English element pris, PRICE means "price" or "prize."Â
Male
Greek
(ΚάστωÏ) Greek name KASTOR means "beaver." In mythology, Castor/Kastor and Pollux/Polydeukes ("very sweet") are the twin sons of Leda and are known as the Gemini twins.
Male
English
 Anglicized form of Scottish Gaelic Eachann, HECTOR means "brown horse." Compare with another form of Hector.
Male
Italian
Italian and Spanish form of Latin Primus, PRIMO means "first."
PRIME FACTOR-EXPONENT-NOTATION
PRIME FACTOR-EXPONENT-NOTATION
Boy/Male
Indian
Splendor or light or glow
Girl/Female
German, Swedish, Teutonic
Famous; Bright; Shining; Noble; Intelligent Maiden
Boy/Male
Tamil
Devarishi | தேவாரீஷீ
Rishi among gods
Girl/Female
American, Australian, Danish, French, Greek
Young Green Shoot
Boy/Male
Biblical
The God of measure; or of the garment.
Boy/Male
Arabic
Master; Lord
Boy/Male
Indian
The loving
Boy/Male
Muslim
Full Moon of the faith
Girl/Female
British, English, Greek
Gift of God's Favor; Blend of Ann and Janet
Boy/Male
Hindu
Wise
PRIME FACTOR-EXPONENT-NOTATION
PRIME FACTOR-EXPONENT-NOTATION
PRIME FACTOR-EXPONENT-NOTATION
PRIME FACTOR-EXPONENT-NOTATION
PRIME FACTOR-EXPONENT-NOTATION
v. t.
To ask the price of; as, to price eggs.
v. t.
A deponent verb.
n.
Highest pitch; elevation reached; loftiness; prime; glory; as, to be in the pride of one's life.
v. t.
To set a price on; to value. See Prize.
a.
First in rank, degree, dignity, authority, or importance; as, prime minister.
n.
That which occasion crime.
n.
A number, letter, or any quantity written on the right hand of and above another quantity, and denoting how many times the latter is repeated as a factor to produce the power indicated
a.
To mark with a prime mark.
n.
The body of factors in any place; as, a chaplain to a British factory.
a.
To prepare; to make ready; to instruct beforehand; to post; to coach; as, to prime a witness; the boys are primed for mischief.
#
Donne (#) (pl. ) of Prima donna
a.
Marked or distinguished by a mark (') called a prime mark.
a.
A prime number. See under Prime, a.
v. t.
To resolve (a quantity) into its factors.
imp. & p. p.
of Prime
a.
Being in its prime.
n. & v.
See Prize, n., 5. Also Prize, v. t.
imp. & p. p.
of Factor
a.
First in excellence; of highest quality; as, prime wheat; a prime quality of cloth.
n.
One who, or that which, stands as an index or representative; as, the leader of a party is the exponent of its principles.