PrimeConstructionMarks: 30Problem DescriptionA math game is introduced in a school competition to test the skills of students. The game deals with Prime numbers.The game rules are as follows:From the given set of distinct natural numbers as input, consider the smallest natural number as q.Your task is to compute the smallest prime number (p) such that when p is divided by all the distinct numbers in the input, except q, should result q as the remainder.Constraints1 < n < 11p < 10 ^ 10InputInput consists of n+1 number of distinct natural numbers separated by spaces.OutputPrint single integer p if such a p exists, else print "None".Time Limit (secs)1ExamplesInput3 4 5 1Output61ExplanationHere the n+1 numbers are 3, 4, 5 and 1 where q=1 (the least of the numbers)The smallest number that leaves remainder 1 when divided by 3, 4 and 5 is 61 and is prime. Hence, output is 61.Example 2Input3 4 5 2OutputNoneExplanationHere q=2. Any number that when divided by 4 leaving remainder 2 must be an even number e.g., 6, 10, 14 etc. Hence it can't be prime. Hence, output is "None"

A math game is introduced in a school competition to test the skills of students. The game deals with Prime numbers.The game rules are as follows:From the given set of distinct natural numbers as input, consider the smallest natural number as q.Your task is to compute the smallest prime number (p) such that when p is divided by all the distinct numbers in the input, except q, should result q as the remainder.Constraints1 < n < 11p < 10 ^ 10

Problem StatementNaveen is tasked with a mathematical challenge that requires finding the smallest positive number that is evenly divisible by all integers from 1 to a given positive number, 'n' received as input from the user. In simpler terms, find the smallest number that can be divided by all whole numbers from 1 up to 'n' without any remainder. Make sure to employ the break statement to ensure efficiency in the program.ExampleInput: 10Output: 2520Explanation: Start with the prime factorization of each number from 1 to 10:1 = 12 = 23 = 34 = 2 * 25 = 56 = 2 * 37 = 78 = 2 * 2 * 29 = 3 * 310 = 2 * 5Identify the maximum power of each prime factor:23 (from 8)32 (from 9)5 (from 5)7 (from 7)Multiply these together:23 * 32 * 5 * 7 = 2520.So, 2520 is the smallest number that can be evenly divided by all the whole numbers from 1 to 10.Note: This question helps in clearing the AMCAT exam.Input format :The input consists of a single integer n.Output format :The output displays the smallest positive number that is divisible by all integers from 1 to n without leaving any remainder.Refer to the sample output for the formatting specifications.Code constraints :In the given scenario, the test cases fall under the following constraints:2 ≤ n ≤ 20Sample test cases :Input 1 :10Output 1 :2520Input 2 :2Output 2 :2Input 3 :20Output 3 :232792560

Problem statementSend feedbackYou are given a positive integer ‘N’. Your task is to print all prime numbers less than or equal to N.Note: A prime number is a natural number that is divisible only by 1 and itself. Example - 2, 3, 17, etc.You can assume that the value of N will always be greater than 1. So, the answer will always exist.Detailed explanation ( Input/output format, Notes, Images )Constraints:2 <= N <= 10^7Where ‘N’ is the given positive integer.Time Limit: 1secSample Input 1 :7Sample Output 1 :2 3 5 7Sample Output 1 Explanation:For the given input, all prime numbers from 2 to 7 are 2, 3, 5 and 7.Sample Input 2 :30Sample Output 2 :2 3 5 7 11 13 17 19 23 29

The input begins with the number t of test cases in a single line (t<=10). In each of the next t lines there are two numbers m and n (1 <= m <= n <= 1000000000, n-m<=100000) separated by a space.OutputFor every test case print all prime numbers p such that m <= p <= n, one number per line, test cases separated by an empty line.ExampleInput:21 103 5Output:235735

Peter wants to generate some prime numbers for his cryptosystem. Help him! Your task is to generate all prime numbers between two given numbers!InputThe input begins with the number t of test cases in a single line (t<=10). In each of the next t lines there are two numbers m and n (1 <= m <= n <= 1000000000, n-m<=100000) separated by a space.OutputFor every test case print all prime numbers p such that m <= p <= n, one number per line, test cases separated by an empty line.ExampleInput:21 103 5Output:235735Warning: large Input/Output data, be careful with certain languages (though most should be OK if the algorithm is well designed)InformationAfter cluster change, please consider PRINT as a more challenging problem.