Reygan Dionisio
@ZahlenRMD
Followers
18K
Following
29K
Media
4K
Statuses
17K
Mathematics Educator/ Enthusiast /I follow math entrusiats/ Youtuber/ Content Creator
Central Luzon, Republic of the
Joined July 2021
S_n = 17+2(n(n+1)/2) = 17+n(n+1) 17+16(16+1) = 17(17) Therefore, the last one is not a prime.
How Long? 17+2 is prime 17+2+4 is prime .......... Is 17+2+4+...+32 a prime? See here https://t.co/bItFJ1fd1A
#math1089 #math #maths #mathematics #alphametics #numbers #squareroots #Prime #primenumbers
1
4
27
For me it's alpha 😅✌️
1
0
5
Sol
0
4
26
Kudos to Professor Loh! Thanks for all the learning gems and inspiration. #sharingisthenewlearning
1
0
2
Solution 2: Using Carmichael Lambda Function Since 52 = 4*13 lcm(phi(4), phi(13)) = 12 2025 mod 52 = 49 2024 mod 12 = 9 This simplifies to x = 49⁹ mod 52 x = (-3)⁹ mod 52 x = (-27)³ mod 52 x = 25³ mod 52 x = 15625 mod 52, 156 = 3*52 Thus x = 25 mod 52
Sol: 52 = 4*13 x = 2025²⁰²⁵ mod 4 = 1 x = 2025²⁰²⁵ mod 13 x = 10⁹ mod 13, since phi(13) = 12 x = (10³)³ mod 13 x = (-1)³ mod 13 x = 12 mod 13, so x can be 12,25,38,... and the smallest x that satisfies x = 1 mod 4 = 12 mod 13 is 25. Therefore, the remainder is 25.
2
1
10
Sol: 52 = 4*13 x = 2025²⁰²⁵ mod 4 = 1 x = 2025²⁰²⁵ mod 13 x = 10⁹ mod 13, since phi(13) = 12 x = (10³)³ mod 13 x = (-1)³ mod 13 x = 12 mod 13, so x can be 12,25,38,... and the smallest x that satisfies x = 1 mod 4 = 12 mod 13 is 25. Therefore, the remainder is 25.
1
0
10
6
2
25
Video solution https://t.co/IMCvtOxpyF
2
1
11
Video Solution https://t.co/7oDQOFbRRj
3
2
16
From 1900 up to February 2026, how many times has this scenario happened? (February 1 falling on a Sunday) #sharingisthenewlearning
#FunMaths
2
1
5
Let y = x-6, x = y+6 (y+6)²-13(y+6) + 43 = 0 y² + 12y + 36 - 13y - 78 + 43 = 0 y² - y + 1 = 0 We want y² + 1/y² From y² - y + 1 = 0 y + 1/y = 1 y² + 2 + 1/y² = 1 Thus y² + 1/y² = -1 #sharingisthenewlearning
3
0
16