Question

In: Advanced Math

Find the biggest “*prime gap” (see definition) from the prime numbers between 1 and 1,000,000. *Prime...

Find the biggest “*prime gap” (see definition) from the prime numbers between 1 and 1,000,000.

*Prime gap = the difference between two consecutive primes.

The exercise can be completed manually or with a computer program. Whichever seems easiest.

Solutions

Expert Solution

I have written a C++ program to find the largest prime gap between 1 and 1,000,000. The same program can be modified to find the prime gap between any numbers. Although as the number gets larger and larger, the running time of the program gets longer. The largest prime gap between 1 and 1,000,000 is 114 between prime numbers 492113 and 492227.

The output of the program is:

Colby Messinger answered 1 year ago
Next > < Previous

Related Solutions

Write a smallest_gap(start_num, end_num) function that finds smallest gap between successive primes, considering prime numbers in...
Write a smallest_gap(start_num, end_num) function that finds smallest gap between successive primes, considering prime numbers in the range from start_num to end_num (inclusive). For example, start_num = 5 and end_num = 12, the prime numbers in that range are: [5, 7, 11]. The smallest gap between any two prime numbers in this list is 2, so the function would return 2. You may want to modify your solution from Problem 1 on Assignment 4, or you can use this starter...
Question : Write a C++ program to find all prime numbers between 10 to 100 by...
Question : Write a C++ program to find all prime numbers between 10 to 100 by using while loop. Hint: a prime number is a number that is divisible by 1 and itself. For example 3, 5, 7, 11, 13 are prime numbers because they are only divisible by 1 and themselves.
1. Write a python function that receives two positive numbers and displays the prime numbers between...
1. Write a python function that receives two positive numbers and displays the prime numbers between them.Note: A prime number (or a prime) is a natural number greater than 1 and that has no positive divisors other than 1 and itself. 2. Using either Whileor Foriteration loops, write a python code that prints the first Nnumbers in Fibonacci Sequence, where N is inputted by the user. Now, revise this code to instead print a) the Nthnumber in Fibonacci Sequence.b) the...
(Prime Numbers) An integer is said to be prime if it is divisible by only 1...
(Prime Numbers) An integer is said to be prime if it is divisible by only 1 and itself. For example, 2, 3, 5 and 7 are prime, but 4, 6, 8 and 9 are not. Write pseudocode and function called isPrime that receives an integer and determines whether the integer is prime or not. Write a test program that uses isPrime to determine and print all the prime numbers between 1 and 1000. Display 10 numbers per line. Twin primes...
. (a) Write a C++ program to find Fibonacci numbers. (For the definition of Fibonacci numbers...
. (a) Write a C++ program to find Fibonacci numbers. (For the definition of Fibonacci numbers and the recursive formula please refer to problem 5 of Chapter 2 at page 81 in the text-book.) The program asks the user to input an integer and outputs the corresponding Fibonacci number. For example, if the user inputs 4, the program outputs the fifth Fibonacci number, which is 3. Introduce two local variables in the recursion function (suppose we call it fib(n)), one...
1. Historically the gap in information has been one of the biggest advantages that players in...
1. Historically the gap in information has been one of the biggest advantages that players in the market have been able to take advantage of. With the Information channels that are available now, near real time information is available. Why is there still room in the market for players to be successful in the International financial markets? 2. How does arbitrage mitigate exposure?
Write a program to find the prime numbers IN JAVA Ask user to input the integer...
Write a program to find the prime numbers IN JAVA Ask user to input the integer number test the number whether it is a prime number or not Then, print “true” or “false” depending on whether the number is prime or isn’t. Hint: number is prime when is has exactly 2 factors: one and itself. By this definition, number 1 is a special case and is NOT a prime. Use idea of user input, cumulative sum, and loop to solve...
Write a c++ program that prints the count of all prime numbers between A and B...
Write a c++ program that prints the count of all prime numbers between A and B (inclusive), where A and B are defined as follows: A = Any 5 digit unique number B = A + 1000 Just a recap on prime numbers: A prime number is any number, greater or equal to 2, that is divisible ONLY by 1 and itself. Here are the first 10 prime numbers: 2, 5, 7, 11, 13, 17, 19, 23, and 29. Rules:...
Write a program that finds and prints all of the prime numbers between 3 and X...
Write a program that finds and prints all of the prime numbers between 3 and X (X is input from the user). A prime number is a number such that 1 and itself are the only numbers that evenly divide it (for example, 3, 5, 7, 11, 13, 17, …). One way to solve this problem is to use a doubly nested loop (a loop inside another loop). The outer loop can iterate from 3 to N while the inner...
Write a program that prints the count of all prime numbers between A and B (inclusive),...
Write a program that prints the count of all prime numbers between A and B (inclusive), where A and B are defined as follows: A = The 5 digit unique number you had picked at the beginning of the semester B = A + 5000 Just a recap on prime numbers: A prime number is any number, greater or equal to 2, that is divisible ONLY by 1 and itself. Here are the first 10 prime numbers: 2, 5, 7,...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT