Question

What is the smallest non-prime natural number that is not divisible by any number on the...

What is the smallest non-prime natural number that is not divisible by any number on the following list?

2, 3, 5, 7, 11, 13, 17.

Explain your reasoning.

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

As we need the smallest non-prime natural number that is not divisible by any number on the following list.

2, 3, 5, 7, 11, 13, 17

By taking multiplication of next two prime number 19 and 23=437 will give us the smallest non prime natural number.

As all prime numbers from 2 to 17 are listed so all natural numbers less than 437 except 1 can be written as product of any prime numbers listed. But 437 can't because it's factor are 19 and 23 which is not listed.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Show that any positive number of the form 4n-1 is divisible by a prime of the...
Show that any positive number of the form 4n-1 is divisible by a prime of the same form.
A prime number is an integer greater than 1 that is evenly divisible by only 1...
A prime number is an integer greater than 1 that is evenly divisible by only 1 and itself. For example, 2, 3, 5, and 7 are prime numbers, but 4, 6, 8, and 9 are not. Create a PrimeNumber application that prompts the user for a number and then displays a message indicating whether the number is prime or not. Hint: The % operator can be used to determine if one number is evenly divisible by another. ( Java programing...
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. Some example test cases (include these test cases in your program): >>> print(smallest_gap(5, 12)) 2 # The primes between...
In number theory, Wilson’s theorem states that a natural number n > 1 is prime if...
In number theory, Wilson’s theorem states that a natural number n > 1 is prime if and only if (n − 1)! ≡ −1 (mod n). (a) Check that 5 is a prime number using Wilson’s theorem. (b) Let n and m be natural numbers such that m divides n. Prove the following statement “For any integer a, if a ≡ −1 (mod n), then a ≡ −1 (mod m).” You may need this fact in doing (c). (c) The...
. Prove that 2^(2n-1) + 3^(2n-1) is divisible by 5 for every natural number n.
. Prove that 2^(2n-1) + 3^(2n-1) is divisible by 5 for every natural number n.
/* This program should check if the given integer number is prime. Reminder, an integer number...
/* This program should check if the given integer number is prime. Reminder, an integer number greater than 1 is prime if it divisible only by itself and by 1. In other words a prime number divided by any other natural number (besides 1 and itself) will have a non-zero remainder. Your task: Write a method called checkPrime(n) that will take an integer greater than 1 as an input, and return true if that integer is prime; otherwise, it should...
Prove the following statements: 1- If m and n are relatively prime, then for any x...
Prove the following statements: 1- If m and n are relatively prime, then for any x belongs, Z there are integers a; b such that x = am + bn 2- For every n belongs N, the number (n^3 + 2) is not divisible by 4.
Let S = {0,1,2,3,4,...}, A = the set of natural numbers divisible by 2, and B...
Let S = {0,1,2,3,4,...}, A = the set of natural numbers divisible by 2, and B = the set of numbers divisible by 5. What is the set A intersection B? What is the set A union B? Please show your work.
JAVA a. An integer is a "Lucky Number" if it is divisible by 7 or is...
JAVA a. An integer is a "Lucky Number" if it is divisible by 7 or is divisible by 11 and it is in the range 1000 through 4000. Write a Boolean expression that is true if and only if myNum (an int variable) contains a Lucky Number. b. Let a and b represent the length and the width of a rectangle. The length of the diagonal of the rectangle can be calculated by the following mathematical expression. diagonalLength = squareRoot(a...
Use a proof by induction to show that, −(16−11?) is a positive number that is divisible...
Use a proof by induction to show that, −(16−11?) is a positive number that is divisible by 5 when ? ≥ 2. Prove (using a formal proof technique) that any sequence that begins with the first four integers 12, 6, 4, is neither arithmetic nor geometric.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT