You could ask why we are iterating the loop till n/2 instead of n. The program is not using any extra auxiliary space, only constant space is being used. Pseudocode to Find Prime NumberĪs the loop is iterating from 2 to n/2, the time complexity for the worst case will be O(n), where n is the input element. STEP 4: If num is divisible by loop iterator, then increment temp. STEP 3: Iterate a “for” loop from 2 to num/2. (n - 1) ! ≡ (n-1) mod n C Program for Prime Numbers Using For Loop Algorithm to Find Prime Number

Wilson’s Theorem: According to this theorem, a natural number n (where n >1) is said to be a prime number if and only if the following conditions hold true.

Prime Number Theorem: According to this theorem, the probability of a randomly selected number n to be a prime is inversely proportional to the log(n) or the digits in the number n.

Fermat’s Little Theorem: According to this theorem, for any prime number n, there lies a number p in the range [1, n) such that,.

A number is said to be a semiprime if it can be represented as a product of two prime numbers.

Lemoine’s Conjecture: According to this theorem, an odd integer n (where n > 5) can be represented in the form: (odd prime + even semiprime).

All even natural numbers can be represented as the sum of two prime numbers.

2 and 3 are the only exceptions that do not lie in this case.

You can express all prime numbers in the form of 6k+1 or 6k-1 (where k is a natural number).There is only one pair of consecutive prime numbers i.e.There is only a single even prime number i.e.Trending Questions Is the statement true that unlike planets a dwarf planet cannot have moons? Is this the answer the moon unlike the earth does not rotate so you see the same side of the moon? Why does the sky appear much bluer in some states? Can a spore be seen with the naked eye? Who sings so far away? Why is the heliocentric picture of the solar system called a model of the solar system? What model of the universe that suggests that the sun is the center of the universe was first brought by? What other planets in the solar system have wind? How are lunar and sonar eclipse different and alike? What are three ways that the inner planets are different from the putter planets? How high up does the troposphere go? Which planet has the lowest inclination to the ecliptic of any planet? A photograph showing circular star trails is evidence that the earth? What units are distances to stars measured in and why? What is the relationship between Vega and Pleiades? Two stars having annual parallax of 0.1 and 0.02 arc seconds respectively.If they appear to have same magnitude.

List prime numbers between 1 and 100