Category Archives: Number Theory

AMC 8 2011 Problem 22

Posted on December 9, 2023 by Sumant Sumant

What is the tens digit of ?

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NPTEL Number theory 9^9^9 mod 100 is 89

Posted on August 14, 2023 by Sumant Sumant

if then is ?

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NPTEL Number theory 5^5^5 mod 50 is 25

Posted on August 14, 2023 by Sumant Sumant

if then is ?

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Euclid’s proof of infinite number of primes and bigger primes

Posted on July 7, 2023 by Sumant Sumant

Sometimes students confuse that if we use the product of first n consecutive primes and add 1 we are bound to get a prime number however this is not true. The proof by contradiction only says that the number obtained … Continue reading →

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Why product of 4 consecutive numbers is never a square number ?

Posted on July 7, 2023 by Sumant Sumant
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Continued Fraction as solution of a quadratic equation

Posted on July 6, 2023 by Sumant Sumant
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Example of Simple Continued Fraction

Posted on July 6, 2023 by Sumant Sumant
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For how many values of k is 12^12 the lcm of 6^6 , 8^8 and k

Posted on June 19, 2023 by Sumant Sumant
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Smallest positive integer greater than 1 which leaves a remainder of 1 when divisible by any number from 2 to 9

Posted on June 19, 2023 by Sumant Sumant
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2021 AMC 10 B Problem 5

Posted on June 18, 2023 by Sumant Sumant
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