Question

How can we calculate the maximum possible gap?

score 96 · Answer 1 · 2017-01-02 18:37:43

96

Views

How can we calculate the maximum possible gap?

Published on 02 Jan 2017 - 18:37

score 423 · Answer 2 · 2026-03-25 22:05:34

423

Views

Interesting resolution to considering prime factorisations and finding the number of positive divisors of large numbers??

Published on 25 Mar 2026 - 22:05

score 37 · Answer 3 · 2017-01-07 10:58:01

37

Views

Greatest $n$ such that $n$ and $n+1$ are Hamming numbers

Published on 07 Jan 2017 - 10:58

score 88 · Answer 4 · 2017-01-08 11:12:25

88

Views

Ideal decomposition: when does $(I,xy)=(I,x) \cap (I,y)$?

Published on 08 Jan 2017 - 11:12

score 75 · Answer 5 · 2026-03-26 00:53:35

75

Views

Patterns of factorization numbers of form $3/2 x +1/2$ for odd x?

Published on 26 Mar 2026 - 0:53

score 477 · Answer 6 · 2017-01-09 10:40:26

477

Views

How to prove that if $n \in N$ is not a perfect square, then there is no rational $q$ s.t $q^2 = n$

Published on 09 Jan 2017 - 10:40

score 239 · Answer 7 · 2017-01-11 23:35:41

239

Views

How can $(2^{100}-2^{98})(2^{99}-2^{97})$ be written in terms of its prime factors?

Published on 11 Jan 2017 - 23:35

score 183 · Answer 8 · 2026-03-26 17:31:47

183

Views

Huge extremely rough provably-composite numbers with no known factors

Published on 26 Mar 2026 - 17:31

score 312 · Answer 9 · 2017-01-14 15:36:18

312

Views

Primes $p=2q-1$ followed by 2 times a prime number $q$

Published on 14 Jan 2017 - 15:36

score 443 · Answer 10 · 2017-01-15 01:42:12

443

Views

If $a^a$ divides $b^b$, then $a$ divides $b$?

Published on 15 Jan 2017 - 1:42

score 1.3k · Answer 11 · 2017-01-17 01:08:21

1.3k

Views

The number of factors of $2^{15} ×3^{10}×5^6$ which are either perfect squares or perfect cubes

Published on 17 Jan 2017 - 1:08

score 2.2k · Answer 12 · 2026-03-26 04:53:26

2.2k

Views

Is it widely-known that "every odd number can be expressed as a sum of consecutive odd numbers except the odd primes"?

Published on 26 Mar 2026 - 4:53

score 75 · Answer 13 · 2017-01-19 02:54:27

75

Views

Prove: If $a^5|b^3$, then $a|b$ for integers $a, b$.

Published on 19 Jan 2017 - 2:54

score 746 · Answer 14 · 2017-01-19 14:40:29

746

Views

Is $7^4-1=2^5 \times 3 \times 5^2$ the only counterexample?

Published on 19 Jan 2017 - 14:40

score 78 · Answer 15 · 2017-01-19 20:24:28

78

Views

If $a^5|b^3$, does $a^2|b$?

Published on 19 Jan 2017 - 20:24

List Question

How can we calculate the maximum possible gap?

Interesting resolution to considering prime factorisations and finding the number of positive divisors of large numbers??

Greatest $n$ such that $n$ and $n+1$ are Hamming numbers

Ideal decomposition: when does $(I,xy)=(I,x) \cap (I,y)$?

Patterns of factorization numbers of form $3/2 x +1/2$ for odd x?

How to prove that if $n \in N$ is not a perfect square, then there is no rational $q$ s.t $q^2 = n$

How can $(2^{100}-2^{98})(2^{99}-2^{97})$ be written in terms of its prime factors?

Huge extremely rough provably-composite numbers with no known factors

Primes $p=2q-1$ followed by 2 times a prime number $q$

If $a^a$ divides $b^b$, then $a$ divides $b$?

The number of factors of $2^{15} ×3^{10}×5^6$ which are either perfect squares or perfect cubes

Is it widely-known that "every odd number can be expressed as a sum of consecutive odd numbers except the odd primes"?

Prove: If $a^5|b^3$, then $a|b$ for integers $a, b$.

Is $7^4-1=2^5 \times 3 \times 5^2$ the only counterexample?

If $a^5|b^3$, does $a^2|b$?

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