Newest Number Theory Questions | Wyzant Ask An Expert

Number Theory Linear Algebra Linear Diophantine Equation

06/05/21

A wallet contains $1 and $10 coins amounting to $45.00. How much money of each kind will produce the given amount?

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Number Theory Linear Algebra Linear Equations

06/05/21

Linear Algebra & Number Theory

Three men came across a purse and picked it up. The first man, after looking at its contents, said: "If I get that purse, I'll have twice as much as your combined money", the second, after having... more

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Number Theory Linear Algebra

06/05/21

Number theory (Diophantine Equation )

Diophantine Equation Three men came across a purse and picked it up. The first man, after looking at its contents, said: "If I get that purse, I'll have twice as much as your combined money", the... more

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Number Theory Math Algebra Mathematics

04/24/21

Prove that if number a+4b is divisible by 13, then 10a+b is divisible by 13

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Number Theory Math Algebra Mathematics

04/24/21

How to prove that number abba is divisible by 11

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Number Theory Math Mathematics

12/29/20

Proof problem about gcd

Prove the following statements: gcd(a,b) = gcd(a-b,b) if gcd(a,b)=d, then exists such x, y ∈ Z, that ax+by=d

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Number Theory Sat Math Mathematics

12/29/20

Proof problem about divisors

Prove that number n = p1z1 p2z2 ... pkzk has (z1+1)(z2+1)...(zn+1) divisors.

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Number Theory Math Sat Math Mathematics

12/29/20

Mathematical number theory proof problem

If number n is divisible by a and n = p1z1 p2z2 ... pkzk, prove that n = p1l1 p2l2 ... pklk with li ≤ zi with all i = 1,...,k

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Number Theory Math

12/21/20

How many pairs of integers (m,n) satisfy the equation m + n = mn?

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Number Theory Math Proofs Divisibility

10/27/20

Use congruences to prove that the divisibility test 5 works.

Divisibility rule for 5: Let a be any integer, 5 divides a if and only if the last digit of a is 0 or 5.

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Number Theory Math

10/14/20

Is it always possible to find a positive integer m such that a is congruent to b mod m?

For any two integers a and b, is it always possible to find a positive integer m such that a ≡b mod m? Either show that it is possible or find a counterexample to show that it is not.

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Number Theory Math Mathematics Gcd

09/03/20

Find the greatest common divisor of the numbers 2^(120) − 1 and 2^(100) − 1

Find the greatest common divisor of the numbers 2120 − 1 and 2100 − 1

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Number Theory Algebra 2

08/04/20

summation of multiples of odd natural numbers

what is the sum of all two odd natural number multiples in 'n' natural numbers, where n>=9.

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Number Theory Infinite Disjoint Arithmetic Progressions

03/25/20

Disjoint Covering systems

Can their exist a disjoint covering system of Z+, made up of an infinite quantity of equivalence classes?

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Number Theory Gcf Pproofs

12/15/19

Proof that pairs of numbers whose GCF=1 can generate all subsequent integers

Prove that any linear combination of pairs of relatively prime numbers (that is pairs of numbers whose GCF is 1) will, beyond a certain number, generate all subsequent integers.*This does not hold... more

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Answers •1

Number Theory

11/18/19

Math number theory

Three track team members are running on the school track. It takes Jess 4 minutes to complete a lap, jen 5 minutes, and Jill 6 minutes. If they start at the same point at the same time, how long... more

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Number Theory Algebra 2

08/12/19

Prove that Z [i] is a commutative ring with unity.

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Number Theory Algebra

07/08/19

What is the condition for the equation: ca^2 - (c+1)ab + b^2 to be non-negative? Is this generalizable for anything other than the trivial case of c=1?

When c = 1, the equation reduces to a^2 - 2ab + b^2 which is (a-b)^2 which is non-negative. What happens for other positive values of c (c can never be negative in my equation), assuming a and b... more

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Number Theory Algebra 2 Math Competitions Prep Parity

07/07/19

The units digit of a perfect square x is 4. What is the parity of the tens digit of x?

This is from my Math Challenge class. I have no idea of how to solve this. Please help.

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Number Theory Math Competition Prep

07/06/19

Find the least natural number such that the number is divisible by 75 and all its digits are 1 or 0 only.

Is there any trick to be able to do this fast?

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Number Theory Algebra 2 Division Divisibility

07/05/19

How do I solve this problem regarding parity from my Math Challenge class?

The remainder when the product 1492 x 1776 x 1812 x 1996 is divided by 5 is A. 0B. 1 C. 2 D. 3 E. 4*what's the shortcut to figuring out the answer for problems like this?*

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Number Theory Algebra 2 Math Competition Preps

07/05/19

How do I solve this problem regarding divisibility from my Math Challenge class?

Which of the following numbers is divisible by 2 and 3, but not divisible by 4? 3346 2376 5554 3282 9996

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Number Theory Math Divisibility Math Competition Prep

07/05/19

How do I solve this problem regarding divisibility from my Math Challenge class?

What remainder does the number 123456789 leave after division by 8? Is there a trick to solving this?

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Number Theory Math Division Problem

07/05/19

How do I solve this problem regarding divisibility from my Math Challenge class?

What remainder does the number (-50) leave after division by 7? The answer is 6. Why?

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Number Theory Algebra 2

05/05/19

Show that if x,y,z are integers such that x^3 + 5y^3 = 25z^3, then x = y = z = 0.

I tried using mod 5 to get that x is divisible by 5. I don't know much about infinite descent, so I do not think that is the way to go.The hint says "If I give you a non-trivial solution, can you... more

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Number Theory

A wallet contains $1 and $10 coins amounting to $45.00. How much money of each kind will produce the given amount?

Linear Algebra & Number Theory

Number theory (Diophantine Equation )

Prove that if number a+4b is divisible by 13, then 10a+b is divisible by 13

How to prove that number abba is divisible by 11

Proof problem about gcd

Proof problem about divisors

Mathematical number theory proof problem

How many pairs of integers (m,n) satisfy the equation m + n = mn?

Use congruences to prove that the divisibility test 5 works.

Is it always possible to find a positive integer m such that a is congruent to b mod m?

Find the greatest common divisor of the numbers 2^(120) − 1 and 2^(100) − 1

summation of multiples of odd natural numbers

Disjoint Covering systems

Proof that pairs of numbers whose GCF=1 can generate all subsequent integers

Math number theory

Prove that Z [i] is a commutative ring with unity.

What is the condition for the equation: ca^2 - (c+1)ab + b^2 to be non-negative? Is this generalizable for anything other than the trivial case of c=1?

The units digit of a perfect square x is 4. What is the parity of the tens digit of x?

Find the least natural number such that the number is divisible by 75 and all its digits are 1 or 0 only.

How do I solve this problem regarding parity from my Math Challenge class?

How do I solve this problem regarding divisibility from my Math Challenge class?

How do I solve this problem regarding divisibility from my Math Challenge class?

How do I solve this problem regarding divisibility from my Math Challenge class?

Show that if x,y,z are integers such that x^3 + 5y^3 = 25z^3, then x = y = z = 0.

Still looking for help? Get the right answer, fast.

OR

RELATED TOPICS

RELATED QUESTIONS

Let p > 3 be a prime, and suppose that p = 3 (mod 4). If q = 2p+1 is also prime show that (2^p) -1 is never prime.

show that the following is an integer

Write any four digit number. Repeat the digits to form a eight digit number(eg.-13571357). Show that two of its prime factors are 73 and 137.

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A wallet contains $1 and $10 coins amounting to $45.00. How much money of each kind will produce the given amount?

Linear Algebra & Number Theory

Number theory (Diophantine Equation )

Prove that if number a+4b is divisible by 13, then 10a+b is divisible by 13

How to prove that number abba is divisible by 11

Proof problem about gcd

Proof problem about divisors

Mathematical number theory proof problem

How many pairs of integers (m,n) satisfy the equation m + n = mn?

Use congruences to prove that the divisibility test 5 works.

Is it always possible to find a positive integer m such that a is congruent to b mod m?

Find the greatest common divisor of the numbers 2^(120) − 1 and 2^(100) − 1

summation of multiples of odd natural numbers

Disjoint Covering systems

Proof that pairs of numbers whose GCF=1 can generate all subsequent integers

Math number theory

Prove that Z [i] is a commutative ring with unity.

What is the condition for the equation: ca^2 - (c+1)ab + b^2 to be non-negative? Is this generalizable for anything other than the trivial case of c=1?

The units digit of a perfect square x is 4. What is the parity of the tens digit of x?

Find the least natural number such that the number is divisible by 75 and all its digits are 1 or 0 only.

How do I solve this problem regarding parity from my Math Challenge class?

How do I solve this problem regarding divisibility from my Math Challenge class?

How do I solve this problem regarding divisibility from my Math Challenge class?

How do I solve this problem regarding divisibility from my Math Challenge class?

Show that if x,y,z are integers such that x^3 + 5y^3 = 25z^3, then x = y = z = 0.

Still looking for help? Get the right answer, fast.

OR

RELATED TOPICS

RELATED QUESTIONS

Let p > 3 be a prime, and suppose that p = 3 (mod 4). If q = 2p+1 is also prime show that (2^p) -1 is never prime.

show that the following is an integer

Write any four digit number. Repeat the digits to form a eight digit number(eg.-13571357). Show that two of its prime factors are 73 and 137.

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