MIRB16

86 Questions
50 Answers

+1

1263

7

+753

Help, with a few!

Define the sequence of positive integers a_n recursively by a_1=7 and a_n=7^(a_n-1) for alln> =2. Determine the last two digits of a_2007.

Find the last 7 digits in the binary expansion of 27^1986. (Give your answer in binary.) read more ..

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MIRB16 Aug 27, 2018

0

881

1

+753

Help!

For how many positive integers is a prime number?

MIRB16 Jun 24, 2018

+1

1413

1

+753

Help!

Two sequences and are defined as follows: What is the remainder when is divided by 5?

MIRB16 Jun 24, 2018

+1

919

1

+753

Help with number theory

What is the average of all positive integers that have three digits when written in base 5, but two digits when written in base 8? Write your answer in base 10.

MIRB16 Jun 23, 2018

0

972

1

+753

Number theory!

Find an integer x such that and .

MIRB16 Jun 22, 2018

0

1225

6

+753

Number theory

The House of Lilliput is using RSA encryption to receive secret messages from all the realms. They have published their public encoding exponent 37 and their public modulus M=pq=527.
Break the code: Find their secret decoding exponent d

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MIRB16 Jun 21, 2018

+1

1023

1

+753

help with 2 (one unaswered)

In the statement below, the two blanks can be filled by positive single-digit numbers in such a way that the statement is always true: What is the product of the two digits that go in the blanks?

Suppose m is a two-digit positive read more ..

MIRB16 Jun 9, 2018

+1

957

1

+753

Halp!

In the statement below, the two blanks can be filled by positive single-digit numbers in such a way that the statement is always true: What is the product of the two digits that go in the blanks?

MIRB16 Jun 9, 2018

0

1255

1

+753

When working modulo m,

When working modulo m, the notation a^-1 is used to denote the residue b for which if any exists. For how many integers a satisfying is it true that

MIRB16 Jun 8, 2018

0

1208

1

+753

help again! thanks in advance!

The sum of two positive integers a and b is 80. What is the largest possible value of gcd(a,b)?

MIRB16 Jun 5, 2018

+2

978

2

+753

HELP

What is the smallest five-digit palindrome that is divisible by 11?

MIRB16 Jun 5, 2018

+1

1333

2

+753

2 questions

1.Suppose t is a positive integer such that lcm[12,t]^3=(12t)^2 . What is the smallest possible value for t?

2. The value b^n has both b and n as positive integers less than or equal to 15. What is the greatest number of positive read more ..

MIRB16 Jun 4, 2018

+1

1350

1

+753

Help!

How many ways are there to fill in the tens digit and hundreds digit of 1__4 so that it is divisible by 11?

MIRB16 Jun 3, 2018

+1

1037

1

+753

Help!!!!

The value b^n has both b and b as positive integers less than or equal to 15. What is the greatest number of positive factors b^n can have?

MIRB16 May 7, 2018

0

2036

4

+753

Help!

The sum of the positive divisors of a positive integer of the form 2^i*3^j is equal to 600. What is i+j?

MIRB16 May 5, 2018

0

1651

2

+753

Help!

Two positive integers $m$ and $n$ are chosen such that $m$ is the smallest positive integer with only two positive divisors and $n$ is the largest integer less than $100$ with exactly three positive divisors. What is $m+n$?

MIRB16 Apr 30, 2018

+753

+2

Thank you!!!!!!!

MIRB16Mar 29, 2018

+753

+4

Again thanks so much

MIRB16Mar 9, 2018

+753

+3

Thanks!

MIRB16Mar 9, 2018

+753

+3

Thanks!

MIRB16Feb 27, 2018

+753

+3

Wait, why do the chooses work??

MIRB16Feb 21, 2018

+753

+3

Thanks so much!

MIRB16Feb 21, 2018

+753

+2

Clever way!

MIRB16Feb 21, 2018

+753

+3

Wow! , how long did it take for you to list them out?

MIRB16Feb 21, 2018

+753

+5

Thanks CPhill

MIRB16Sep 11, 2017