[C++ Programming]Please solve just #2. Please do not copy other sources in Chegg or other sites. Please write new code. Part 1.**Problem 1.** Write a C++ function that inputs a positive integer and determines whether it is prime using trial division.*Use your function from Problem 1 to write a C++ program for solving each of the following computational problems. For each problem, find the running time function of the algorithm you are using to write the corresponding program.***Problem 2.** Determine whether $2^p - 1$ is prime for each of the primes not exceeding 100.**Problem 3.** Find as many primes of the form $n^2 + 1$, where $n$ is a positive integer, as you can.*Note:* Problems 2 and 3 are not related to each other. You need to develop a separate program for each problem. Your programs should invoke your function from Problem 1.*For Part 1, submit your C++ programs, test results, and make a conclusion.*

logic:- iterate from i=2 to i<=100 calculate newValue=2^i-1 pass newValue to isPrime function…

Answered: Problem 2. Determine whether 2P – 1 is…

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Problem 2. Determine whether 2P – 1 is prime for each of the primes not exceeding 100.

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Concept explainers

LUP Decomposition

LU decomposition stands for Lower-Upper decomposition. LU decomposition is the factorization of the lower triangular matrix and an upper triangular matrix. It is very useful in linear algebra and numerical analysis. A permutation matrix is usually included in the product. Gaussian elimination in a matrix form is known as LU decomposition, When inverting a matrix or evaluating its determinant, this is a crucial step. Tadeusz Banachiewicz, a Polish mathematician, first proposed the LU decomposition in 1938.

Question

[C++ Programming]

Please solve just #2. Please do not copy other sources in Chegg or other sites. Please write new code.

Part 1.

**Problem 1.** Write a C++ function that inputs a positive integer and determines whether it is prime using trial division.

*Use your function from Problem 1 to write a C++ program for solving each of the following computational problems. For each problem, find the running time function of the algorithm you are using to write the corresponding program.*

**Problem 2.** Determine whether $2^p - 1$ is prime for each of the primes not exceeding 100.

**Problem 3.** Find as many primes of the form $n^2 + 1$, where $n$ is a positive integer, as you can.

*Note:* Problems 2 and 3 are not related to each other. You need to develop a separate program for each problem. Your programs should invoke your function from Problem 1.

*For Part 1, submit your C++ programs, test results, and make a conclusion.*

Process by which instructions are given to a computer, software program, or application using code.

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