12/19/2023 0 Comments List of primesThey are given here below. So these are not prime numbers.There are 1229 prime numbers between 1 and 10,000. Though all the prime numbers except 2 are odd, the converse is false.įor example, 5, 7, 11, and 13 are prime and odd numbers.īut if we consider 15, 21, and 27, all of them are odd numbers. (3, 5) as there is only one composite number, 4, between them. Two prime numbers are twin primes if only one composite number exists between them. (3, 5), (5, 7), and (7, 11) are some pairs of co-prime numbers that are also prime. 4 and 13 are co-prime numbers as their GCF is 1.Ī pair of two prime numbers are always co-prime to each other as they have 1 as their only common factor. The largest known prime number (as of April 2023) is 2 82,589,933 − 1, which has 24,862,048 digits when written in base 10.Ī pair of numbers are co-prime to each other if their Greatest Common Factor (GCF) is 1.Ĭo-prime numbers can be either prime or composite numbers. There exists no largest prime number as the natural numbers do not end. The smallest prime number is 2, which is the only even prime number. Other Related Terms Smallest Prime Number If a number greater than 40 can be expressed as (m 2 + m +41), m = 0, 1, 2, … it is a prime number. It is used to find prime numbers greater than 40. Each prime number except the only consecutive prime numbers 2 and 3 can be represented as (6n + 1) or (6n – 1) here, n is a natural number.įor example, 11 can be written as (6 × 2) – 1, (here n = 1). It is used to find all prime numbers except 2 and 3. We can also verify the list from the list of prime numbers above. The process repeats until all the numbers on the list are either encircled or crossed out. As few multiples like 6, 12, 18, 24, 30 … are already crossed out, the remaining ones, like 9, 15, 21, 27, 33, and so on, up to 100, are crossed out now. All the multiples of 3, except 3, are crossed out.
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