1093 (number)
Encyclopedia
1093 is the natural number following 1092 and preceding 1094.
1093 is a prime number
. Together with 1091 and 1097, it forms a prime triplet
. It is a happy prime and a star prime. It is also the smallest Wieferich prime
. 1093 is a repunit prime in base 3 because:
1093 is a prime number
Prime number
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example 5 is prime, as only 1 and 5 divide it, whereas 6 is composite, since it has the divisors 2...
. Together with 1091 and 1097, it forms a prime triplet
Prime triplet
In mathematics, a prime triplet is a set of three prime numbers of the form or...
. It is a happy prime and a star prime. It is also the smallest Wieferich prime
Wieferich prime
In number theory, a Wieferich prime is a prime number p such that p2 divides 2p − 1 − 1, therefore connecting these primes with Fermat's little theorem, which states that every odd prime p divides 2p − 1 − 1...
. 1093 is a repunit prime in base 3 because: