|
|
What are different kinds of primes?
Sometimes we here things about sophie germain primes, or twin primes. What are they do you ask? Put simply they are primes that have certain properties. Here are the primes and their properties:
Mersenne Prime:
Currently the worlds largest form of prime number, it is of the form Mp=2p-1, where p is prime. Page on Mersenne Primes.Naught-y or naught-iest prime:
A prime that is composed of many naughts or zeros.Near-repdigit prime:
A prime with all like or repeated digits but one.Quasi-repdigit prime:
A prime that has all digits repeating except for two.Q-E-D prime:
A quasiall-even-digits prime - a prime with even digits besides two odd digits.Almost-all-even-digits prime:
A prime with even digits and one odd, right most digit.Palidromic prime (or Palprime):
A prime that is the same whether read forward or backwards.Tetradic prime:
A 4-way prime: palindromic, as well as the same upside down or mirror reflected.Triadic prime:
A 3-way prime: having up-down or vertical mirror symmetry, as well as palindromicity.Beastly prime:
A palindrome with 666 in the center, 0's surrounding these digits, and 1 or 7 at the end.Non-palindromic beastly prime:
A prime that starts with 666, followed by 0's and either a 1 or 7 at the right end.Pandigital:
A prime with all 10 digits (0-9); almost pandigital means 9 digits (usually the 0 is missing).Almost-equi-pandigital:
A prime with all digits equal in number, except for one particular digit.Prime digit primes:
A prime that has only the digits:2, 3, 5, 7: composite digit primes have only: 4, 6, 8, or 9.Holey primes:
Primes that have only digits with holes, like the composite digit primes, and can include the zero.Wholly, holey primes:
Primes where all of the digits have holes; unholey primes do not have any digits with holes in them.Repunit prime:
Rn=(10n-1)/9, is a prime with all repeated 1's.Near-repunit prime:
A prime that has almost all repeated units except one.Alternate-digit prime:
A prime that has alternating odd and even digits.Undulating prime number:
The neightboring digits are consistently greater or less than the digits adjacent to them.Smoothly undulating prime (palindromic):
A prime with only two types of digits involved.Yarborough prime:
A prime that has only the digits 2, 3, 4, 5, 6, 7, 8, or 9.Depression prime:
A palprime having all interior digits repeating, and smaller than the end digits.Plateau prime:
A prime that has its internal repeating digits larger than its end digits.Factorial prime:
A prime that is the product of the first n consecutive integers, plus or minus unity (one).Primorial prime:
A prime that is the product of the first n consecutive primes, plus or minus unity.Odd digit primes:
A prime that has a single "odd" digit in its decimal representation, an all odd digit prime ahs all its digits odd.Fermat prime:
A prime of the forl 2Primes with curved digits:
Primes composed only of 0's, 3's, 6's, 8's, or 9's. Primes with straight digits only include 1's, 4's, or 7's.Anti-Yarborough prime:
A prime that can have any number of 1's and 0's.Antipalindromic prime:
A prime that must have a total even number of digits, and the digits in the first half of the prime must digger from the corrseponding digits of the second half, resulting in a coincidence ratio of 0.Cullen prime:
A prime of the form Cn=n2n±1.Subscript primes:
Primes that are named because they are usually expressed in their subscriptal notation.Sophie Germain primes:
Pairs of primes of the form P and 2P+1.Unique-period primes:
(P) is one, whose reiprocal (1/P), is a period not shared by any other prime.Absolute prime:
A prime that remains prime, for all permutations of its digits.Generalized repunit primes:
Primes of the forl (bn-1)/b-1), b ¹ to 2 or 10.Strobogrammatic prime:
A prime that remains the same when flipped upside down.
