![]() Harmonic primes have no solutions to H k ≡ 0 and H k ≡ -⍵ p for 1 ≤ k ≤ p – 2, where H k denotes the k th harmonic number, and ⍵ p denotes the Wolstenholme quotient.Euler irregular primes divide Euler number E 2n for some 0 ≤ 2n ≤ p – 3.Factorial primes are in the form n! – 1 or n! + 1.Circular primes remain prime on any cyclic rotation of their digits.Gaussian primes follow the form p n 2 > p n-i p n+i for all 1 ≤ i ≤ n – 1, where p n is the n th prime number.Balanced primes have an equal size gap between the former and later prime numbers so that they are equal to the arithmetic mean of the nearest prime number.Some commonly known types of prime numbers are: Well, there are various types of prime numbers. Have you ever heard of types of prime numbers? Yes, types of prime numbers. Using method 2, you can find all prime numbers list greater than 100. This method is useful in finding various prime numbers because you need to check the divisibility by 6 in the first place and then check whether it fits in this formula or not. You can write number 13 in the form of 6n + 1 as 6 (2) + 1 = 13. ![]() We cannot write this number in either of these forms neither 6n – 1 nor 6n + 1. ![]() Let us understand this concept by an example. If you cannot write the number in either of these forms, then it means the number is not prime. Method 2: Apart from numbers 2 and 3, every prime number can be written in the form of 6n – 1 or 6n + 1.Similarly, for other numbers greater than 0, the prime numbers will be: If you replace n with 0, the formula will give the value – 0 2 + 0 + 41 = 41. From the formula, replace n with the number starting from 0. For prime numbers below 40, you have to memorize the table given above. However, this formula will give prime numbers greater than 40 only. Method 1: If you need to find all prime numbers up to 100, this formula can come in handy – n 2 + n + 41.The most commonly used are the given two methods: There are several methods to find prime numbers. It is important to understand how to find prime numbers if you need to find all prime numbers from a given set of numbers. This list of prime numbers to 100 can be memorized by understanding how to find prime numbers. You can memorize these prime numbers up to 100 for ease of calculations in your exams. Here is the list of prime numbers from 1 to 100 given below in the table: 2 For bigger numeric values, this method is not appropriate for finding which numbers are prime and non-prime. This method is convenient for smaller numbers. You can write 6 in two rows of 3 and 2, as shown in the image. If you can draw the given numbers in equal rows or columns, then it means it is divisible. Understanding prime numbers is easier through illustrations. Understanding prime numbers through illustrations Hence, 31 is a prime number having only two factors, 1 and 31, i.e., 1 and the number itself. 31 is also divisible by 1, which results in 31. 31 is only divisible by 31, which results in 1. Is 31 divisible by any other number? 31 is not divisible by 2, 3, 4, or any other number. In the same way, when 16 gets divided by 16, you will get 1. After dividing 16 from 4 and 8, you will get 4 and 2, respectively. After dividing 16 from 2, you will get 8. Let’s understand what prime numbers are by examples. All prime numbers will have two factors only. In other terms, prime numbers are the ones who have only two factors – 1 and itself. ![]() In fact, they are not divisible by any other number. In the paragraph mentioned above, prime numbers are the ones that do not get divisible by the smaller number. Prime numbers are not divisible by any other number than themselves. So, why does it happen so? You are going to learn in this article. If yes, then why are some numbers not divisible at all? They may be divided by other numbers you will get answers in decimals or fractions when they do. Have you wondered why some numbers are divisible by numbers smaller than themselves and some are not divisible at all? If not, then it’s time to think about it now.
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