3511 (number)
Encyclopedia
3511 is the natural number
following 3510 and preceding 3512.
3511 is a prime number
, and is also an emirp
.
3511 is the largest known Wieferich prime
– the only other being 1093
.
3511 is the 27th centered decagonal number
.
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...
following 3510 and preceding 3512.
3511 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...
, and is also an emirp
Emirp
An emirp is a prime number that results in a different prime when its digits are reversed. This definition excludes the related palindromic primes. Emirps are also called reversible primes....
.
3511 is the largest known 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...
– the only other being 1093
1093 (number)
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 = 1111111_3 = 3^6 + 3^5 +...
.
3511 is the 27th centered decagonal number
Centered decagonal number
A centered decagonal number is a centered figurate number that represents a decagon with a dot in the center and all other dots surrounding the center dot in successive decagonal layers...
.