Glossary
53 terms
Additive prime
a prime number P such that the sum of digits of P is also a prime number
Base
Chen prime
a prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes (also called a semiprime)
Composite
Cyclic Number
Digital sum
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Discrete semiprime
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Distinct semiprime
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Divide
Emirp
(prime spelled backwards) is a prime number that results in a different prime when its decimal digits are reversed
Exponent
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Fermat Quotient
Gaussian Composite
A Gaussian integer is a complex number whose real and imaginary parts are both integers. A Gaussian integer is called prime if it is not equal to a product of two non-unit Gaussian integers. Otherwise, it is called composite.
Gaussian Mersenne prime
No definition yet
Gaussian Mersenne Prime
The simplest generalized Mersenne primes are prime numbers of the form f(2n), where f(x) is a low-degree polynomial with small integer coefficients.[35] An example is 264 − 232 + 1, in this case, n = 32, and f(x) = x2 − x + 1; another example is 2192 − 264 − 1, in this case, n = 64, and f(x) = x3 − x − 1.
Gaussian Prime
A positive integer is a Gaussian prime if and only if it is a prime number that may be written 4n + 3, with n a nonnegative integer
Good prime
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Happy number
a number which eventually reaches 1 when consecutively replaced by the sum of the square of each digit
Happy prime
a prime number which eventually reaches 1 when consecutively replaced by the sum of the square of each digit
Index-Additive Prime
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Individual Twin Gaussian Composite
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Individual Twin Gaussian prime
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Individual Twin prime
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Lonely Gaussian composite
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Lonely Gaussian prime
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Lonely Prime
a prime is lonely if its distance to the closest prime sets a new record
Long prime
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Mersenne prime
a prime number that is one less than a power of two
Non-Chen prime
A non-Chen prime is a prime p such that p+2 is neither a prime nor a semi-prime
number theory – Non-Chen primes dividing $3^k+3$ and $2^k-3$ – Mathematics Stack Exchange
Non-Chen Prime
In mathematics, a prime number p is called a Chen prime if p + 2 is either a prime or a product of two primes (also called a semiprime). The even number 2p + 2 therefore satisfies Chen’s theorem.
Number theory
a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions
Permutation
a mathematical calculation of the number of ways a particular set can be arranged, where order of the arrangement matters
Prime
a natural number greater than 1 that is not a product of two smaller natural numbers
Product
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Quad-prime
Quadruple prime
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Quint-prime
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Safe prime
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Semi-prime
a natural number that is the product of exactly two prime numbers
Seq verse number
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Sophie Germain prime
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Sophie Germain Prime
In number theory, a prime number p is a Sophie Germain prime if 2p + 1 is also prime. The number 2p + 1 associated with a Sophie Germain prime is called a safe prime. For example, 11 is a Sophie Germain prime and 2 × 11 + 1 = 23 is its associated safe prime. Sophie Germain primes and safe primes have applications in public key cryptography and primality testing. It has been conjectured that there are infinitely many Sophie Germain primes, but this remains unproven.
Sphenic number
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Squarefree semiprime
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Super prime
Super prime is a prime whose index is also a prime
Tri-Prime
Twin Gaussian composite
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Twin prime
Twin prime companion
the companion of a prime number that is either 2 less or 2 more than another prime number
Twin prime pair
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Twin Prime Pair
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