Question

Do further prime numbers of the form $n^n+\varphi(n)$ exist?

score 296 · Answer 1 · 2026-04-16 17:13:58

296

Views

Do further prime numbers of the form $n^n+\varphi(n)$ exist?

Published on 16 Apr 2026 - 17:13

score 3.3k · Answer 2 · 2026-04-26 00:52:25

3.3k

Views

Why multiplying powers of prime factors of a number yields number of total divisors?

Published on 26 Apr 2026 - 0:52

score 838 · Answer 3 · 2026-04-12 03:07:05

838

Views

How to write a polynomial in mod p

Published on 12 Apr 2026 - 3:07

score 117 · Answer 4 · 2026-04-15 13:51:27

117

Views

Counting such 3-digit numbers

Published on 15 Apr 2026 - 13:51

score 142 · Answer 5 · 2026-04-07 15:13:54

142

Views

$\binom{2k+1}{k}$ is odd when $k=2^m-1 (m \in \mathbb{N})$, otherwise $\binom{2k+1}{k}$ is even.

Published on 07 Apr 2026 - 15:13

score 390 · Answer 6 · 2026-04-16 15:46:34

390

Views

Parity of the digits present in the sum of a number and its reverse.

Published on 16 Apr 2026 - 15:46

score 293 · Answer 7 · 2026-04-14 15:42:49

293

Views

Whats the lowest multiple of $99$ that has digits of only $0, 1$, and $ 2$

Published on 14 Apr 2026 - 15:42

score 114 · Answer 8 · 2026-04-17 06:10:31

114

Views

Primes of the form $\ \varphi(n)^{\varphi(n)}+n\ $ or $\ n^n+\varphi(n)\ $ for composite $n$?

Published on 17 Apr 2026 - 6:10

score 972 · Answer 9 · 2026-04-09 12:44:19

972

Views

What is the simplest way to rigorously define division (why does the standard algorithm work)?

Published on 09 Apr 2026 - 12:44

score 151 · Answer 10 · 2026-04-12 00:22:39

151

Views

Number theory, possibly mathematical induction to use

Published on 12 Apr 2026 - 0:22

score 541 · Answer 11 · 2026-04-29 12:52:18

541

Views

Quintic reciprocity conjecture

Published on 29 Apr 2026 - 12:52

score 134 · Answer 12 · 2026-04-16 17:23:20

134

Views

Find all $m \geq 0$ such that there are no positive integers $x,y$ that satisfy $32xy+10y-3x-1 = 2^m$

Published on 16 Apr 2026 - 17:23

score 79 · Answer 13 · 2026-04-13 09:39:27

79

Views

integer divides a number, significance

Published on 13 Apr 2026 - 9:39

score 185 · Answer 14 · 2026-04-15 13:37:05

185

Views

Characterizing the set of positive integers which cannot be represented as $p+a^2$

Published on 15 Apr 2026 - 13:37

score 694 · Answer 15 · 2026-04-11 00:25:33

694

Views

Are there any 2 primitive pythagorean triples who share a common leg?

Published on 11 Apr 2026 - 0:25

List Question

Do further prime numbers of the form $n^n+\varphi(n)$ exist?

Why multiplying powers of prime factors of a number yields number of total divisors?

How to write a polynomial in mod p

Counting such 3-digit numbers

$\binom{2k+1}{k}$ is odd when $k=2^m-1 (m \in \mathbb{N})$, otherwise $\binom{2k+1}{k}$ is even.

Parity of the digits present in the sum of a number and its reverse.

Whats the lowest multiple of $99$ that has digits of only $0, 1$, and $ 2$

Primes of the form $\ \varphi(n)^{\varphi(n)}+n\ $ or $\ n^n+\varphi(n)\ $ for composite $n$?

What is the simplest way to rigorously define division (why does the standard algorithm work)?

Number theory, possibly mathematical induction to use

Quintic reciprocity conjecture

Find all $m \geq 0$ such that there are no positive integers $x,y$ that satisfy $32xy+10y-3x-1 = 2^m$

integer divides a number, significance

Characterizing the set of positive integers which cannot be represented as $p+a^2$

Are there any 2 primitive pythagorean triples who share a common leg?

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