Question

Answer check: What is the number of integers smaller than one million that contain two consecutive digits which are the same?

score 61 · Answer 1 · 2026-03-25 22:06:10

61

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Answer check: What is the number of integers smaller than one million that contain two consecutive digits which are the same?

Published on 25 Mar 2026 - 22:06

score 557 · Answer 2 · 2026-04-07 06:45:55

557

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Does this solve boolean satisfiability problem in polynomial time?

Published on 07 Apr 2026 - 6:45

score 4.3k · Answer 3 · 2018-08-15 08:18:45

4.3k

Views

Prove that there exists irrational numbers p and q such that $p^{q}$ is rational

Published on 15 Aug 2018 - 8:18

score 63 · Answer 4 · 2018-08-15 09:47:52

63

Views

Thoughts about the Lucas Theorem

Published on 15 Aug 2018 - 9:47

score 277 · Answer 5 · 2026-03-28 16:44:36

277

Views

Efficient modular solution to $ax - by \equiv 0\pmod{p}$?

Published on 28 Mar 2026 - 16:44

score 220 · Answer 6 · 2026-03-25 14:39:20

220

Views

Closed form of a logarithmic sum involving binomial coefficient

Published on 25 Mar 2026 - 14:39

score 785 · Answer 7 · 2026-03-26 04:33:14

785

Views

What is the difference between ∀x(p(x) →q(x)) and ∀x(p(x) ∧q(x))?

Published on 26 Mar 2026 - 4:33

score 357 · Answer 8 · 2026-03-27 07:50:58

357

Views

What is the sum of the even (resp. odd) terms only of the Hockey-stick identity?

Published on 27 Mar 2026 - 7:50

score 1k · Answer 9 · 2026-03-31 05:06:25

1k

Views

Logical Equivalences dealing with Equivalence Rules

Published on 31 Mar 2026 - 5:06

score 315 · Answer 10 · 2018-08-16 11:57:31

315

Views

How can I show $p \land q$ using only the symbols $p$ $q$ $⊕$ $∼$ $( )$? If it isn't possible why?

Published on 16 Aug 2018 - 11:57

score 87 · Answer 11 · 2018-08-16 14:22:35

87

Views

Proving that if n is uneven, then n+5 is even

Published on 16 Aug 2018 - 14:22

score 232 · Answer 12 · 2026-03-28 00:49:14

232

Views

Proof by induction that you can order natural numbers where the average isn't between any pair of numbers

Published on 28 Mar 2026 - 0:49

score 1.3k · Answer 13 · 2018-08-17 22:44:17

1.3k

Views

If $|A \cup B \cup C | = |A| + |B| + |C|$, then $A, B$, and $C$ must be pairwise disjoint

Published on 17 Aug 2018 - 22:44

score 1.7k · Answer 14 · 2018-08-18 02:08:33

1.7k

Views

Prove that $g(x) = {x \over (1-|x|) } $ is a bijection.

Published on 18 Aug 2018 - 2:08

score 75 · Answer 15 · 2018-08-18 04:43:43

75

Views

Proving divisibility by $3$

Published on 18 Aug 2018 - 4:43

List Question

Answer check: What is the number of integers smaller than one million that contain two consecutive digits which are the same?

Does this solve boolean satisfiability problem in polynomial time?

Prove that there exists irrational numbers p and q such that $p^{q}$ is rational

Thoughts about the Lucas Theorem

Efficient modular solution to $ax - by \equiv 0\pmod{p}$?

Closed form of a logarithmic sum involving binomial coefficient

What is the difference between ∀x(p(x) →q(x)) and ∀x(p(x) ∧q(x))?

What is the sum of the even (resp. odd) terms only of the Hockey-stick identity?

Logical Equivalences dealing with Equivalence Rules

How can I show $p \land q$ using only the symbols $p$ $q$ $⊕$ $∼$ $( )$? If it isn't possible why?

Proving that if n is uneven, then n+5 is even

Proof by induction that you can order natural numbers where the average isn't between any pair of numbers

If $|A \cup B \cup C | = |A| + |B| + |C|$, then $A, B$, and $C$ must be pairwise disjoint

Prove that $g(x) = {x \over (1-|x|) } $ is a bijection.

Proving divisibility by $3$

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