Art of Problem Solving

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Difference between revisions of "User:Vincentwant"

Revision as of 10:51, 16 December 2020

Contents

1 Part 0
- 1.1 Goals
2 Part 1
3 Part 2
4 Part 3

Part 0

If this is your first time visiting this page, edit it by incrementing the user count by one.

2

Goals

Edits: Lvl 1 (100)

77 edits

New Pages (not including user page and user talk pages): Lvl 1 (20)

4 new pages

User Count: Lvl 1 (40)

User Count 2

Subpages: Lvl 1 (5)

0 subpages

Forum Posts: Lvl 1 (20)

0 forum posts

Number of years listed: Lvl 1 (50)

28 years listed in part 1

Number of parts: Lvl 1 (7)

3 parts

Number of goals listed: Lvl 1 (10)

8 goals (incl. this one)

Part 1

I am listing the prime factorizations of upcoming years. I am doing this because some math competitions often involve the factorization of the year it was assessed. Thanks to Po-Shen Loh for giving me this idea. (Factors include 1 and the number itself.)

$2021 = 43\cdot 47 \text{ (has 4 factors)}$

$2022 = 2\cdot 3\cdot 337 \text{ (has 8 factors)}$

$2023 = 7\cdot 17^2 \text{ (has 6 factors)}$

$2024 = 2^3\cdot 11\cdot 23 \text{ (has 12 factors)}$

$2025 = 3^4\cdot 5^2 \text{ (has 15 factors)}$

$2026 = 2\cdot 1013 \text{ (has 4 factors)}$

$2027 = \text{2027 is prime (has 2 factors)}$

$2028 = 2^2\cdot 3\cdot 13^2 \text{ (has 18 factors)}$

$2029 = \text{2029 is prime (has 2 factors)}$

$2030 = 2\cdot 5\cdot 7\cdot 29 \text{ (has 16 factors)}$

$2031 = 3\cdot 677 \text{ (has 4 factors)}$

$2032 = 2^4\cdot 127 \text{ (has 10 factors)}$

$2033 = 19\cdot 107 \text{ (has 4 factors)}$

$2034 = 2\cdot 3^2\cdot 113 \text{ (has 12 factors)}$

$2035 = 5\cdot 11\cdot 37 \text{ (has 8 factors)}$

$2036 = 2^2\cdot 509 \text{ (has 6 factors)}$

$2037 = 3\cdot 7\cdot 97 \text{ (has 8 factors)}$

$2038 = 2\cdot 1019 \text{ (has 4 factors)}$

$2039 = \text{2039 is prime (has 2 factors)}$

$2040 = 2^3\cdot 3\cdot 5\cdot 17 \text{ (has 32 factors)}$

$2041 = 13\cdot 157 \text{ (has 4 factors)}$

$2042 = 2\cdot 1021 \text{ (has 4 factors)}$

$2043 = 3^2\cdot 227 \text{ (has 6 factors)}$

$2044 = 2^2\cdot 7\cdot 73 \text{ (has 12 factors)}$

$2045 = 5\cdot 409 \text{ (has 4 factors)}$

$2046 = 2\cdot 3\cdot 11\cdot 31 \text{ (has 16 factors)}$

$2047 = 23\cdot 89 \text{ (has 4 factors)}$

$2048 = 2^{11} \text{ (has 12 factors)}$

Part 2

There are $12659$ pages on the AoPSWiki. $12659 = 12659 \text{ is prime (has 2 factors) }$

Part 3

There are $132258$ users registered. $132258 = 2\cdot 3\cdot 7\cdot 47\cdot 67 \text{ (has 32 factors)}$

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