Create the page "2019 AIME Problems/Problem 18" on this wiki! See also the search results found.

• 2019 AIME I Problems/Problem 2
  ==Problem== ...possible combinations of <math>B</math> and <math>J</math>, and <math>1 + 18 \cdot 2 + 1 = 38</math> ones that form <math>P</math>, so <math>P = \frac{3
  5 KB (831 words) - 18:47, 29 January 2025
• Chicken McNugget Theorem
  ...n McNugget Theorem''' (or '''Postage Stamp Problem''' or '''Frobenius Coin Problem''') states that for any two [[relatively prime]] [[positive integer]]s <mat ...t Theorem has also been called the Frobenius Coin Problem or the Frobenius Problem, after German mathematician Ferdinand Frobenius inquired about the largest
  17 KB (2,823 words) - 23:06, 15 November 2024
• Gmaas
  ...into anything. Using that fact, you can use the Games theorem to solve any problem. 18. Gmaas is the only known living being who has a Ph.D. in Gmaasology.
  69 KB (11,805 words) - 20:49, 18 December 2019
• 2018 AIME II Problems
  {{AIME Problems|year=2018|n=II}} ==Problem 1==
  9 KB (1,385 words) - 00:26, 21 January 2024
• 2019 AMC 10C Problems
  Here are the problems from the 2019 AMC 10C, a mock contest created by the AoPS user fidgetboss_4000. ==Problem 1==
  12 KB (1,917 words) - 12:14, 29 November 2021
• 2019 AIME II Problems/Problem 9
  ==Problem== ...pretty. Let <math>S</math> be the sum of positive integers less than <math>2019</math> that are <math>20</math>-pretty. Find <math>\tfrac{S}{20}</math>.
  3 KB (474 words) - 01:38, 22 December 2024
• 2019 AIME II Problems
  {{AIME Problems|year=2019|n=II}} ==Problem 1==
  7 KB (1,254 words) - 14:45, 21 August 2023
• 2019 AIME II Problems/Problem 6
  ==Problem== ...s </math><math>\log_b(b^{18}\cdot 36)=\frac{56}3\implies b^{\frac{56}3}=b^{18}\cdot 36</math>.
  7 KB (1,165 words) - 15:57, 30 December 2024
• 2019 AIME II Problems/Problem 1
  ==Problem== unitsize(18);
  9 KB (1,508 words) - 14:02, 7 September 2024
• 2019 AIME II Problems/Problem 4
  ==Problem== Another way to solve this problem is to do casework on all the perfect squares from <math>1^2</math> to <math
  20 KB (3,220 words) - 03:24, 14 August 2024
• 2019 AIME I Problems/Problem 8
  ==Problem== ...18}</math>. Thus we finally get <math>a^{12}+b^{12}=\frac{11}{36}-\frac{7}{18}\cdot\frac{1}{6}=\frac{13}{54}</math>, giving <math>\boxed{067}</math>.
  10 KB (1,878 words) - 13:19, 1 February 2024
• 2019 AIME I Problems/Problem 11
  ==Problem== Before we start thinking about the problem, let’s draw it out;
  25 KB (4,645 words) - 22:46, 30 January 2025
• 2019 AIME I Problems/Problem 14
  ==Problem== Find the least odd prime factor of <math>2019^8+1</math>.
  8 KB (1,264 words) - 01:22, 7 March 2024
• GMAAS
  ...hing. Using that fact, you can use the Almighty Gmaas theorem to solve any problem. 18. Almighty Gmaas is the only known living being who has a Ph.D. in Almighty
  99 KB (14,096 words) - 23:49, 19 February 2025
• 2020 AIME II Problems/Problem 14
  ==Problem== Note that the upper bound for our sum is <math>2019,</math> and not <math>2020,</math> because if it were <math>2020</math> the
  7 KB (1,187 words) - 05:58, 3 February 2025
• 2021 AIME II Problems/Problem 8
  ==Problem== \boldsymbol{N(k,\mathrm{BB})} &2&2&2&6&18&38&66&118 \ \hline
  17 KB (2,722 words) - 18:32, 23 January 2023
• Know the Facts: Gmaas
  - 2019: The burning of Notre Dame causes many of Gmaas's bibles to be burnt. Immed 1. GMAAS's theorem states that for any math problem, GMAAS knows the answer to it. This theorem was proved by GMAAS. But then G
  89 KB (15,007 words) - 15:02, 19 February 2025
• Mathboy282
  [[2019 AIME II Problems/Problem 15]] Solution 5 [[2023 USAJMO Problems/Problem 6]] Solution 1
  10 KB (1,116 words) - 12:37, 11 June 2024
• A7456321
  ...into anything. Using that fact, you can use the Games theorem to solve any problem. 18. Gmaas is the only known living being who has a Ph.D. in Gmaasology.
  69 KB (11,828 words) - 19:26, 3 September 2024