A positive whole number n>2 is prime if no number between 2 and sqrt(n)(inclusive) evenly divides n. Write a program that accepts a values of n as input and determines if the value is prime. If n is not prime, your program should quit as soon as it finds a value that evenly divides n.
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A positive whole number n>2 is prime if no number between 2 and sqrt(n)(inclusive) evenly divides n. Write a program that accepts a values of n as input and determines if the value is prime. If n is not prime, your program should quit as soon as it finds a value that evenly divides n.
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- /*code Kth Largest Factor A positive integer d is said to be a factor of another positive integer N if when N is divided by d, the remainder obtained is zero. For example, for number 12, there are 6 factors 1, 2, 3, 4, 6, 12. Every positive integer k has at least two factors, 1 and the number k itself.Given two positive integers N and k, write a program to print the kth largest factor of N. Input Format: The input is a comma-separated list of positive integer pairs (N, k). Output Format: The kth highest factor of N. If N does not have k factors, the output should be 1. Constraints: 1<N<10000000000 1<k<600. You can assume that N will have no prime factors which are larger than 13..A prime number is called a Mersenne prime if it can be writtenin the form 2p - 1 for some positive integer p. Write a program that findsall Mersenne primes with p ≤100 and displays the output as shown below.(Hint: You have to use BigInteger to store the number because it is too big tobe stored in long. Your program may take several hours to run.) p 2^p – 1---------------------2 33 75 31...Python Programming: You are roaming in a random city and you have lost. You see a sign board and where that is return is that you can go to X and Y street if 1 <= Y - X <= K, where K is a value that is written on the board. You have to reach to your hotel in such a way that it is minimal. Input Output 31 10 251
- Mailbox Mnemonic Code IN STO 90 IN ADD 90 STO 90 IN SUB 90 OUT COB 00 01 02 1. The following Little Man program is supposed to add two input numbers, subtract a third input number from the sum, and output the result, i.e., OUT = IN1 + IN2 – IN3 03 04 05 06 07 08 Numeric Code 901 390 901 190 390 901 290 902 000 What is wrong with this program? Modify the program so that it produces the correct result.Brute force equation solver this is python program. Numerous engineering and scientific applications require finding solutions to a set of equations. Ex: 8x + 7y = 38 and 3x - 5y = -1 have a solution x = 3, y = 2. Given integer coefficients of two linear equations with variables x and y, use brute force to find an integer solution for x and y in the range -10 to 10. Ex: If the input is: 8 7 38 3 -5 -1 Then the output is: 3 2 Use this brute force approach: For every value of x from -10 to 10 For every value of y from -10 to 10 Check if the current x and y satisfy both equations. If so, output the solution, and finish. Ex: If no solution is found, output: No solution You can assume the two equations have no more than one solution. Note: Elegant mathematical techniques exist to solve such linear equations. However, for other kinds of equations or situations, brute force can be handy. ''' Read in first equation, ax + by = c '''a = int(input())b = int(input())c = int(input()) ''' Read in…QuadraticAA.java Write a program that solves quadratic equations of the form , where The values A, B, and C will be real numbers (doubles) that you will request from the user. The equation below is what is used to solve for . Remember, there will be two solutions for x (not necessarily distinct). No loops are necessary, so don’t include any. To find the two solutions for this equation, you will use the quadratic formula: Remember that it must be solved for both the and : You will ask the user to input a value for A, B, and C (in that order, using those same letters), then you will use those values to find the two values of x as above. Your output MUST then display the original quadratic equation back to the user with their coefficients in place, and then output the two results. We will assume that the user will not put zero for A. *Format ALL OUTPUT VALUES (including the equation) to have only two decimal places. There is a test case below. Your program should run the…
- In Python A soup company is interested in finding out how much of their soup will go into various sized cans. The user will input the diameter of the can end, and the height of the can. The volume of a cylinder is the well known formula: volume = area of the ends * height of cylinder. The twist is that a can of soup can not be completely filled to the top; only 95% of the volume can be filled with soup; the remaining 5% must remain empty to allow for expansion. NOTE: when computing the area, use pi to at least 5 significant digits (eg, 3.14159) or use the constant math.pi. You should define a function named soup_volume which takes two parameters, the diameter of the can in cm, and the height of the can in cm, in that order. The function should return a float value, which is the volume of soup that the can is able to hold. The function should not round the value, but when printing the value in the main program, format it to show only 2 decimal places. Example run of the program: Enter…Python Code: Oj is a cruel but wise student of his class. Because of his bad habits, one day his math teacher got angry and challenged him to do a few maths. Yes, being a high school student solved all the questions from the math, matrics and maths topics but I could not solve a single question. The question asked to find the sum of all integers is from 1 to N so that 2i + 1 is divided by 3. You being Oj's friend don't want to make her feel ashamed and she volunteered to help. Input 1 2 Output 1C language Q4. Write a program that asks the user to enter an integer n, then prints the first n multiple of n. The program should keep asking to enter a number until -1 is entered. (0.5 point) Q5: a. What does the following program print? char c='Z'; for(i=1;i<= 4; i++) { for(j= 1; j<= i; j++) { printf("%c", C--); } printf("\n"); } b. Re-write the above code using while loop. Output: Sample Output: Enter a number: 4 48 12 16 Enter a number: 6 6 12 18 24 30 36 Enter a number: 1 1 Enter a number: -1 End Using while loop: (2x0.5 =1 point)
- Description A mathmatician Goldbach's conjecture: any even number(larger than 2) can divide into two prime number’s sum.But some even numbers can divide into many pairs of two prime numbers’ sum. Example:10 =3+7, 10=5+5, 10 can divide into two pairs of two prime number. Input Input consist a positive even number n(4<=n<=32766). Output Print the value of how many pairs are this even number can be divided into. Sample Input 1 1234 Sample Output 1 25Python Write a Python program that accepts a single integer value entered by the user. If the value entered is less than one, the program prints nothing. If the user enters a positive integer, n, the program prints an n×n box drawn with * characters. If the users enters 1, for example, the program prints * If the user enters a 2, it prints ** ** An entry of three yieldsExercise III: Catalan numbers For n e N, denote by c, to be the number of ways to form a "mountain range" with n upstrokes (U) and n downstrokes (D) that all stay above a horizontal line. For instance: for n = 1, only UD is allowed, so c = 1; • for n = 2, only UUDD and UDUD are allowed, so c2 = 2. 1. Check that c3 = 5 by writing down or drawing all possible options. 2. Consider the power series +00 g(x) = 2 n=0 (by definition co = 1) called the generating function of the sequence (en). Justify that cn < 4" for each n, and deduce that the radius of convergence of g is at least 1/4. 3. It can be show that for r E (-1/4, 1/4), g(x) = 1+ xg(r)? and therefore 1- VI 4.x g(x) = 2.x Use this formula and the known power series of V1+ x to write the first terms of the power series expansion of g, in the form g(x) = co + c1x + c2x2 + C3x + c4x* + ·.. Show how you obtain a few terms, but you do not need to show all computations and you can use a calculator for fractions. Check that you recover co,…