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primes

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The product of 3 integers is -24 2019-11-06
Rick pose la question :
This is a question on my sons pre-ap practice quiz. I think that there is information missing (?)

The product of 3 integers is -24
The sum of 3 integers is -12
What are the 3 integers ?

This is exactly how it was written on his quiz paper. I have wasted to much time on the internet, trying to find a formula(s) to help him.
Please help me.

Penny Nom lui répond.
A question about perfect squares 2018-02-04
Jolyn pose la question :
Find the smallest possible value of a whole number m if 648x m is a perfect square
Penny Nom lui répond.
Sieve of Eratosthenes 2014-10-03
Hope pose la question :
using Sieve of Eratosthenes to determine for in instance prime numbers between 1 to 200, to what nth number should i stop?, 4th, which is 11 or what?
Robert Dawson lui répond.
The LCM of 6,15 and x is 90 2011-10-30
Richie pose la question :
Hi there,
There are 2 parts to the question.
#1. Factorise 90. This is easy, 90=2x3x3x5

#2
LCM of 6,15 and x is 90. What are possible values of x if x is odd?

From #1, since 90=6x15, how can this be used to work out possible values of x?

Thanks in advance, Richie

Penny Nom lui répond.
Powers 2010-10-20
dylan pose la question :
how do you write 20736 in exponential form .same for 1728 and 50625.

is there a formula to figure out how to express large know numbers in exponential form.

Penny Nom lui répond.
Primes 2009-06-25
Chinonyerem pose la question :
If p = 2^k - 1 is prime, show that k is an odd integer, except when k = 2. [ Hint: 3/4^n - 1 for all n >= 1.]
Robert Dawson and Penny Nom lui répond.
The factors of an integer 2009-01-06
Madison pose la question :
what are the factors of 878
Robert Dawson lui répond.
Do all square numbers have an odd number or factors? 2008-12-11
Amy pose la question :
Do all square numbers have an odd number or factors?
Victoria West lui répond.
Some number theoretic speculations 2008-12-04
Andrew pose la question :
Another way of looking at the 'alternating parity polynomial', again based on Fermat's Little Theorem, is to substitute (a - b) for x in x^(p-1) - 1 as this is always divisible by any prime p. So, if one removes the "- 1", there is always a remainder of (1/p)! (I took up your challenge!)
.
.
.

Andrew

Chris Fisher and Victoria West lui répond.
Primes and polynomials 2008-11-24
Andrew pose la question :
How effective are the two
pairs of polynomials, taken together, at "excluding" any prime p.

1. (a^2 - a.b + b^2) and (a^2 + a.b + b^2) Where b > a > p and (a, b, p) = 1

2. (c^2 - c.a + a^2) and (c^2 - c.b + b^2) Where c > b > a > p and (a, b, c, p) = 1
Victoria West lui répond.

A question about primes and polynomials 2008-11-16
Andrew pose la question :
Is it possible for (a^2 - a.b + b^2) to be divisible by a prime p where b > a > p and a, b, and p are relatively prime? I let a = n.p + x and b = m.p + y (where both x and y are < p) and after dividing throughout by p one gets to decide whether (x^2 - x.y + y^2) ==0 mod(p) ?! It seems unlikely unless p = (x^2 - x.y + y^2)? (Note:- All letters represent positive integers.)
Chris Fisher and Victoria West lui répond.
The prime factorization of one billion 2008-11-02
Alta pose la question :
The prime factorization of 1000 is 2 cubed times 5 cubed. How do you write the prime factorization of one billion using exponents?
Penny Nom lui répond.
Prime factorization 2008-10-19
nick pose la question :
while im doing prime factorization for one number and it cant be divided 2,3 or five so what next?
Penny Nom lui répond.
The smallest number divisible by 1 to 9 2008-06-26
Peggy pose la question :
What is the smallest number divisible by each of the first nine counting numbers?
Penny Nom lui répond.
A positive integer with 2007 digits 2008-02-06
Tom pose la question :
Prove that there's a unique positive integer of 2007 digits lenght, divisible by 2^2007, and made up solely by the digits 2 and 5.
Penny Nom lui répond.
Prime factorization 2007-11-11
jeff pose la question :
find the prime factorization and use exponential notation for 432
Penny Nom lui répond.
Cubes 2007-09-21
Yvonne pose la question :
The numbers 756 and 72, expressed as products of prime factors, are 756 = 2² x 3³ x 7 and 72 = 2³ x 3²

Use these result to find,

the smallest integer, x, such that 756x is a perfect cube.

Penny Nom lui répond.
How far from n do you need to go to have found at least one prime? 2007-09-16
Mike pose la question :
Hi, I was wondering if there was some kind of guaranteed interval that ensures that if you start at some number n, you will always have passed a prime number p. I remember having once read something that there is always at least one prime between n and 2n, but I cannot for the life of me remember where I read that, or what that kind of rule would be called so I can look it up online... thank you for your help, Mike
Penny Nom and Victoria West lui répond.
How many stairs in the flight are stepped on exactly once? 2007-09-03
Bill pose la question :
Four friends are racing together down a long flight of stairs. A goes 2 steps at a time, B 3 at a time, C 4 at atime and D 5 and at a time. The only steps on which all four tread are the top one and the bottom one. How many stairs in the flight are stepped on exactly once.
Harley Weston lui répond.
Prime numbers and square numbers 2007-05-22
Naseer pose la question :
I read somewhere that prime number can be a factor of square only if it occurs at least twice in its square please explian this with examples.
Penny Nom lui répond.
Three distinct prime factors 2007-02-15
nick pose la question :
what is the smallest natural number that has three distinct prime factors in its factorization
Stephen La Rocque lui répond.
Why zero is neither prime nor composite? 2007-01-17
Brenda pose la question :
Why zero is neither prime nor composite?
Penny Nom lui répond.
Prime numbers 2007-01-16
A student pose la question :
are the product of two prime numbers always prime?
Penny Nom lui répond.
The sum of prime numbers 2006-11-28
Rambabu pose la question :
I would like to know the sum of prime numbers below some X say 10000. Provide me with easy way to get this done
Penny Nom lui répond.
given that p is a prime and p|a^n, prove that p^n|a^n 2006-03-24
Janna pose la question :
given that p is a prime and p|an, prove that pn|an
Stephen La Rocque lui répond.
The Least Common Multiple of two primes 2006-02-21
Kristine pose la question :
Is the Least Common Multiple to two prime numbers always their product? Why or Why not?
Stephen La Rocque lui répond.
How many divisors does the number 138600 have? 2006-02-08
Joe pose la question :
How many divisors does the number 138600 have?
Steve La Rocque and Penny Nom lui répond.
GCF, LCM, primes and the ladder method 2006-01-07
Linda pose la question :
How would I teach both finding the GCF and LCM with prime factors...I recall the ladder method vaguely.???
Penny Nom lui répond.
Divisibility by each of the first ten counting numbers 2005-10-17
Simon pose la question :
determine smallest positive integer that is divisible by each of the first ten counting numbers
Penny Nom lui répond.
A two digit prime 2005-09-12
A student pose la question :
The units digit of a two-digit prime number is not greater than the tens digit by 3.If the positions of the two digits are interchanged, then the new number formed is greater than the original number by more than 18. Find the value of the original prime number.
Penny Nom lui répond.
n^2+n-1 has no divisors ending with 3 or 7 2005-09-08
Arne pose la question :
at least it seems like for any integers n and k,
10k+3 and 10k+7 do not divide n²+n-1
I tested this for every n from 0 to 3200 (which means same for the numbers from -3201 to -1)
could this be true, or is it just coincidence, or am I just totally wrong?

Richard McIntosh lui répond.
Three prime numbers p,q and r, all greater than 3, form an arithmetic progression: 2005-07-18
Ladis pose la question :
Three prime numbers p,q and r, all greater than 3, form an arithmetic progression: p=p, q=p+d and r= p+2d. Prove that d is divisible by 6.
Chris Fisher lui répond.
p+1, p+2 y p+4 are prime 2005-06-18
Vincent pose la question :
Find all the values of p (where p is a natural number), for which the numbers p+1, p+2 y p+4 are prime.
Penny Nom lui répond.
Primes 2005-06-04
Fede pose la question :
Prove that there is not a number prime p, for which the numbers p+5 and p+10 are prime too.
Penny Nom lui répond.
The numbers p and 8p^2 +1 are prime. 2005-05-30
Antonio pose la question :
The numbers p and 8p2 +1 are prime. Prove that the number 8p2+2p+1 is also a prime number.
Claude Tardif and Penny Nom lui répond.
Prime numbers 2005-04-11
Jesule pose la question :
Given that p, p+10 and p+14 are prime numbers, find p.
Claude Tardif and Chris Fisher lui répond.
Numbers that John likes 2005-01-16
Garrett pose la question :
John likes 400 but not 300; he likes 100 but not 99; he likes 3600 but not 3700. Which does he like?

900
1000
1100
1200

Penny Nom lui répond.
The lcm of 5, 3, 4, 7 and 2 2004-11-05
Christine pose la question :
what is the lcm of 5,3,4,7,2
Penny Nom lui répond.
(2^ 20,966,011) - 1 2003-12-12
Reid pose la question :
Can someone please explain, answer and/or solve this: (2^ 20,966,011) - 1

I don't know what it means, my boss sent it out, I'm assuming it is to be solved but don't know what it is, any prompt help would be appreciated, very much so, in fact, thanks,...........


Penny Nom lui répond.
If 1 is neither prime nor composite... 2003-11-19
Joshua pose la question :
if 1 is neither prime nor composite...what is it called?
Claude Tardif and Penny Nom lui répond.
If 1 is neither prime nor composite... 2003-11-19
Joshua pose la question :
if 1 is neither prime nor composite...what is it called?
Claude Tardif and Penny Nom lui répond.
What is a number that has exactly 13 factors? 2003-11-09
Mary pose la question :
What is a number that has exactly 13 factors?
Penny Nom lui répond.
Composites, primes, factors and common factors 2002-11-20
Connie pose la question :
My son can't remember what a composite number is, what a prime number is and the explaination of factors and common factors. Help!
Penny Nom lui répond.
Is it a prime? 2002-10-19
JV pose la question :
6x to the third power plus 5x plus 15, is that prime or not prime, and whichever it is, how can you prove it? ya dig?
Claude Tardif lui répond.
Divisibility of 5 2002 2002-08-25
Simon pose la question :
I need to ask you a question if 5 2002 and 3 2002 are divisible by 26.
Penny Nom lui répond.
Probability and a three digit number 2001-03-15
Glenn pose la question :
A THREE DIGIT NUMBER IS SELECTED AT RANDOM. WHAT IS THE PROBABILITY THAT NON OF THE THREE DIGITS ARE PRIME.
Harley Weston lui répond.
What number from 1 to 25 has the most factors? 2001-01-23
John pose la question :
What number from 1 to 25 has the most factors?
Penny Nom lui répond.
A pair of numbers whose GCF is 28 2000-12-27
John pose la question :
Name 2 different pairs of numbers whose GCF is 28.
Penny Nom lui répond.
Some prime conjectures 2000-12-24
Tarrasita pose la question :
I was given some homework to investigate the following conjectures on prime numbers

1) There is at least one prime between consecutive square numbers.

2) Every prime except 2 and 3 is of the form 6n+1 where n is a natural number.

3) Any odd prime which is of the form 4n+1 is equal to the sum of two perfect squares.


Harley Weston lui répond.
Prime factorization 2000-12-13
A student pose la question :
What is the prime factorization for 250 1296 and 2400
Penny Nom lui répond.
1234567890 2000-09-14
Bradley Kloetzly pose la question :
Can you find two whole numbers, with the smallest possible difference between them, which when multipled together equal: 1234567890?
Harley Weston lui répond.
Five times a cube equals three times a fifth power 2000-07-05
Harman Chaudhry pose la question :
Which is the smallest 10-digit number to be five times the cube of one number and also three times the fifth power of another?
Penny Nom lui répond.
2^32 + 1 2000-04-08
Un Etudiant pose la question :
232 +1 can be divided by 641 , why?
Claude Tradif lui répond.
Symmetric Primes 2000-04-01
Marlene Moore pose la question :
Hi...Im in 9th grade and am having a hard time figuring out symmetric primes. Heres the problem:

Find two pairs of symmetric primes of 20. Symmetric primes of 15?


Claude Tardif lui répond.
Division 2000-03-16
Charday pose la question :
What is the easiest way to calculate the least number that can be divided evenly by all the numbers from 1 to 10.
Penny Nom lui répond.
10 000 000 = a x b 2000-03-06
Spencer Jaffe pose la question :
What two numbers that don't end in zero, multiplied equal 10,000,000.
Claude tardif lui répond.
Factoring, primes, GCF and LCM 2000-02-27
Ruth Kroek pose la question :
My son is in grade seven, he has to do a Factoring Booklet the areas covered are:
  • Prime #'s
  • Composite #'s
  • Rainbow Factoring
  • Finding Multiples (consecutive multiples)
  • Finding GCF of 2-3 numbers uning Rainbow factoring
  • Finding LCM of 2 numbers using consecutive multiples
  • prime factor trees
  • prime factor ladders
  • finding GCF of 2 numbers using Prime number Method
Although his text 'Math Power' gives some information, we are at a loss ..

Penny Nom lui répond.
Three factors 2000-02-21
A parent pose la question :
Question from a parent helping a child, grade 4, with homework. Can a number have three factors? Name three numbers that have three factors.
Penny Nom lui répond.
Three algebra problems 1999-12-28
Stephanie Branton pose la question :
  1. If P represents the product of all prime numbers less than 1000, what is the value of the unit's digit of P?

  2. Do any real numbers a and b exist such that: ln(a+b)=ln a + ln b? if so, what are they?

  3. Define a function by: f(x)=1/1-x where x is not equal to 0,1. what is f(f(f(a)))?

Harley Weston lui répond.
T-shirts 1999-04-04
Valerie pose la question :
At a discount T-shirt shop the manager marked a special batch of T-shirts that originally sold for $2.00. When all the shirts sold the shop had collected $603.77.

How many shirts did they sell and what was the price per shirt?
Jack LeSage and Penny Nom lui répond.

Five Factors 1998-09-19
Derek Yau pose la question :
To whom it may concern,

I have difficulty in getting the solution to the following question:

Find 5 numbers that have exactly 5 factors.

I got 16, 81 but couldn't find the rest. I believe that in order to have 5 factors, it has to be a square number. Isn't it true? I guess there may be a pattern to this.

Thanks for your help.
Derek Yau.
Penny Nom lui répond.

Divisors of 6n 1998-01-26
James pose la question :
If n is a positive integer such that 2n has 28 positive divisors and 3n has 30 positive divisors, then how many positive divisors does 6n have?
(a) 32 (b) 34 (c) 35 (d) 36 (e) 38

Penny Nom and Haragauri Gupta lui répond.
Negative Primes. 1997-11-10
Leah Zucker and Paul Michael pose la question :
I have received the following question via e-mail from my granddaughter: "Can negative numbers (like -7) be prime? If not, why not?"
Chris Fisher lui répond.
Two Questions 1997-10-28
Melissa Kelley pose la question :
I would appreciate any help you could give me.
  1. Why isn't 1 a prime number?

  2. How can the absolute value of a number be negative?

Penny Nom lui répond.
How do you find out if a number is a composite or prime? 1996-09-16
Trish Feenstra pose la question :
Hi my name is Trish Feenstra. In grade 8. How do you find out if a number is a composite or prime if it is big like 37 529? Reply soon got a test on Friday the 13th
Denis Hanson lui répond.
Prime numbers 1996-02-22
Charles Hewitt pose la question :
I would apprecaite it if you could share with me any algorithm to determine whether a number is prime.
Penny Nom lui répond.
 
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