67 (sixty-seven) is the
natural number
In mathematics, the natural numbers are the numbers 0, 1, 2, 3, and so on, possibly excluding 0. Some start counting with 0, defining the natural numbers as the non-negative integers , while others start with 1, defining them as the positive in ...
following
66 and preceding
68. It is an
odd and
prime number
A prime number (or a prime) is a natural number greater than 1 that is not a Product (mathematics), product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime ...
.
In mathematics
67 is:
*the 19th
prime number
A prime number (or a prime) is a natural number greater than 1 that is not a Product (mathematics), product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime ...
(the next is
71).
* a
Chen prime.
*an
irregular prime.
*a
lucky prime.
*the sum of five consecutive primes (7 + 11 + 13 + 17 + 19).
*a
Heegner number
In number theory
Number theory is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions. Number theorists study prime numbers as well as the properties of mathematical objects constructed from int ...
.
*a
Pillai prime since 18! + 1 is divisible by 67, but 67 is not one more than a multiple of 18.
*palindromic in
quinary (232
5) and
senary
A senary () numeral system (also known as base-6, heximal, or seximal) has 6, six as its radix, base. It has been adopted independently by a small number of cultures. Like the decimal base 10, the base is a semiprime, though it is unique as the p ...
(151
6).
*a
super-prime. (19 is prime)
*an
isolated prime. (65 and 69 are not prime)
*a
sexy prime with 61 and 73
References
External links
Integers
{{Num-stub