30 Answered Questions for the topic Prime Numbers

#### Quadratic equations: variables in exponents using prime numbers

I can't find the solution, could I get some help please?22x - 24.2x + 128 = 0 thanks for the help

Prime Numbers

01/07/20

#### Composite prime numbers

What composite numbers less the 20 have more than five factors

03/19/19

#### Are all highly composite numbers even?

A highly composite number is a positive integer with more divisors than any smaller positive integer. Are all highly composite numbers even (excluding 1 of course)? I can't find anything about this...
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03/19/19

#### Can it be proven/disproven that there are highly composite numbers that prime-factorize into larger primes such as $9999991$?

Of course, following the rules found by Ramanujan, such a highly composite number would need to factorize into all primes ascending up to 9999991 (with descending powers as the primes progress) so...
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03/18/19

#### When is $4n^4+1$ prime?

Find all natural numbers $n$ such that $4n^4+1$ is prime.
$4n^4+1$ is obviously prime when $n=1$. But can we prove that no other $n$ works?

03/15/19

#### How many primes do I need to check to confirm that an integer $L$, is prime?

I recently saw the 1998 horror movie "Cube", in which a character claims it is humanly impossible to determine, by hand without a computer, if large (in the movie 3-digit) integers are prime...
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#### Is 440 a factor of 72840?

I would like to know how to solve the following question: Is 440 a factor of 72840?
I would have thought that this involves dividing 72840 by 440 and seeing if it produces an integer. However, the...
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Prime Numbers Prime Factorization

09/21/17

#### Maritza remembers her PIN because it is between 1000 and 1500 and it is the product of two consecutive prime numbers. What is her PIN

Marie remembers her PIN because it is between 1000 and 1500 and it is the product of two consecutive prime numbers. What is her PIN?

Prime Numbers

02/07/17

#### why cant 7 be the difference of any prime number?

i have to prove why 7 cant be the difference of any prime number

Prime Numbers

12/30/16

#### if j represents the smallest prime number greater than 24, and c represents the largest prime number less than 100, what is the value of c-j

please show me steps to this

Prime Numbers

09/21/16

#### Are any prime gaps end larger than the square of the prime?

I am not trained in mathematics at all and I was thinking about a certain problem. I'm not sure if there's a name for this problem or how to search for work done on it before.
Assume the...
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Prime Numbers Real Numbers

09/14/16

#### a boy with a collection of marbles realises that if he makes a group of five or six marbels at a time there are always two marbles left can you explain why the

confused between concept of real numbers and prime number used in the question

Prime Numbers

09/07/16

#### A teacher divides the students into three groups for a project. Each group has the same number of students. Is the total number of students prime or composite

explain

#### Prime numbers

is there an easier way to find out how many prime numbers are under 100 without going through each number? Thanks!

02/03/16

#### Prime number word problem..

Brenda is thinking of a prime number between 40 and 50. Josh is thinking of a prime number between 10 and 20. The difference between the two numbers is 26. What are the two numbers?

Prime Numbers

01/28/16

#### Find the smallest possible value of the whole number

Find the smallest possible value of the whole number "y" such that the product of "y" and 6600 is a square number.To make two identical numbers from 6600 x Y, we add prime numbers to the product.

Prime Numbers

09/28/15

#### Which list contains only one prime number ? (A) 3,4,5,6 (B) 6,9,10,11 (C) 4,10,12,21 (D) 7,11,13,17......

I got this question when I was doing my SOF Olympiad Practice.The Solution say's the answer is (B).But I don't understand how.....

Prime Numbers Probability

09/15/15

#### Probabilty for first 10 prime numbers pulled out of a hat

Each of the first ten prime numbers is written on an individual piece of paper and put into a hat. If two are drawn at once, so that means without replacement, what is the probability that the sum...
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07/19/15

#### Weird prime numbers question

The sum of 2 postive prime numbers is a prime number and 3 times that sum is an odd number. Which of the following prime numbers must be one of the original prime...
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Prime Numbers Maths

06/23/15

#### Show that this equation is true

It is given that p is a prime number and p > 5.
a) Show that p= 6n + 1 or p = 6n + 5 for some positive integer n.
b) Hence, show that p2 + 2 is divisible by 3.
How can I 'show that'? With...
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Prime Numbers

11/27/14

#### Which of the following is not a prime number? A. 11 B. 19 C. 5 D. 24

-Which of the following is not a prime number? A. 11 B. 19 C. 5 D. 24

11/05/14

#### determine whether 117 is prime or composite by using the square root theorem

hint- begin by taking its square root

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