List questions from elementary-number-theory

Published on 08 Apr 2026 - 22:10

88

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Lower bound for number of primes up to $x$.

Published on 15 May 2026 - 4:14

1.5k

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What is the largest integer value of $n$ for which $8^n$ evenly divides $(100!)$?

Published on 15 Apr 2026 - 14:35

217

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Is $8n^3+12n^2-2n-3$ divisible by 5, with $n$ congruent with 1,2,3 mod 5?

Published on 05 May 2026 - 15:20

433

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Fractional part function of $\frac{y}{n} + k$

Published on 10 May 2026 - 19:35

91

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Guess and prove Formula for Sequence $b_n$ = $\sqrt{b_{n-1}b_{n-2}} + \frac{3n}{2} - 1.$

Published on 15 Apr 2026 - 19:18

136

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$N! \pmod{P}$ (huge numbers)

Published on 14 Apr 2026 - 12:41

119

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Congruence equation $x^{a}\equiv b \ (\text{mod} \ p)$

Published on 14 Apr 2026 - 4:56

150

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Guess and Prove by induction a formula for the $n$-th element in a sequence $b_n$

Published on 14 Apr 2026 - 16:31

51

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Book about Prime numbers

Published on 12 Apr 2026 - 16:53

312

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Why is counting the number of least prime factors of a sequence of consecutive integers insufficient to resolve Legendre's Conjecture?

Published on 15 May 2026 - 23:45

68

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How many digits do I need to determine if the product of a whole number an irrational number is odd or even?

Published on 10 May 2026 - 12:35

115

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What is the value of $5 * 6$ in the following patttern?

Published on 17 Apr 2026 - 8:32

1.3k

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Find whole number solutions

Published on 14 Apr 2026 - 15:28

2.1k

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Dividing both sides of congruence

Published on 11 Apr 2026 - 1:07

List Question

Verification of composite function

Lower bound for number of primes up to $x$.

What is the largest integer value of $n$ for which $8^n$ evenly divides $(100!)$?

Is $8n^3+12n^2-2n-3$ divisible by 5, with $n$ congruent with 1,2,3 mod 5?

Fractional part function of $\frac{y}{n} + k$

Guess and prove Formula for Sequence $b_n$ = $\sqrt{b_{n-1}b_{n-2}} + \frac{3n}{2} - 1.$

$N! \pmod{P}$ (huge numbers)

Congruence equation $x^{a}\equiv b \ (\text{mod} \ p)$

Guess and Prove by induction a formula for the $n$-th element in a sequence $b_n$

Book about Prime numbers

Why is counting the number of least prime factors of a sequence of consecutive integers insufficient to resolve Legendre's Conjecture?

How many digits do I need to determine if the product of a whole number an irrational number is odd or even?

What is the value of $5 * 6$ in the following patttern?

Find whole number solutions

Dividing both sides of congruence

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