Abhishek Verma
@intelocode.bsky.social
Coding for 15+ years | IIT Kanpur alumnus | Competitive Programmer: 99.5+ percentile | Posts: Computer Science, Maths & Psychology | Expertise: Problem Solving
The place looks wonderful, I'm sure you had great time !
January 5, 2025 at 1:33 PM
The place looks wonderful, I'm sure you had great time !
That's the end of thread !
👉 I post about Problem Solving, Computer Science, Mathematics & Psychology.
If you enjoyed the thread, consider following for more such content. Thank you ! 😊
👉 I post about Problem Solving, Computer Science, Mathematics & Psychology.
If you enjoyed the thread, consider following for more such content. Thank you ! 😊
January 1, 2025 at 10:45 PM
That's the end of thread !
👉 I post about Problem Solving, Computer Science, Mathematics & Psychology.
If you enjoyed the thread, consider following for more such content. Thank you ! 😊
👉 I post about Problem Solving, Computer Science, Mathematics & Psychology.
If you enjoyed the thread, consider following for more such content. Thank you ! 😊
Bonus fact if you're interested in primes:
2025 + 2 is a prime number
√2025 + 2 is a prime number
2025² + 2 is a prime number
2025 + 2 is a prime number
√2025 + 2 is a prime number
2025² + 2 is a prime number
January 1, 2025 at 10:45 PM
Bonus fact if you're interested in primes:
2025 + 2 is a prime number
√2025 + 2 is a prime number
2025² + 2 is a prime number
2025 + 2 is a prime number
√2025 + 2 is a prime number
2025² + 2 is a prime number
Btw, the word "harshad" comes from Sanskrit, harsh (joy) + da (give) meaning joy-giver.
So, I hope current quadrennium of harshad years 2022-2025 fills your life with joy.
This is the last year of the quadrennium and also has an immaculate factorized form:
2025 = 3⁴ * 5²
So, I hope current quadrennium of harshad years 2022-2025 fills your life with joy.
This is the last year of the quadrennium and also has an immaculate factorized form:
2025 = 3⁴ * 5²
January 1, 2025 at 10:45 PM
Btw, the word "harshad" comes from Sanskrit, harsh (joy) + da (give) meaning joy-giver.
So, I hope current quadrennium of harshad years 2022-2025 fills your life with joy.
This is the last year of the quadrennium and also has an immaculate factorized form:
2025 = 3⁴ * 5²
So, I hope current quadrennium of harshad years 2022-2025 fills your life with joy.
This is the last year of the quadrennium and also has an immaculate factorized form:
2025 = 3⁴ * 5²
Also, I discovered a fascinating phenomenon for 2+ consecutive Harshad years, is extremely rare.
Note: Harshad number is a number divisible by sum of its digits.
Years 2022-2025 are Harshad years. It last happened 1000+ years back in 1014-1017.
And will next happen after 1000+ years in 3030-3033.
Note: Harshad number is a number divisible by sum of its digits.
Years 2022-2025 are Harshad years. It last happened 1000+ years back in 1014-1017.
And will next happen after 1000+ years in 3030-3033.
January 1, 2025 at 10:45 PM
Also, I discovered a fascinating phenomenon for 2+ consecutive Harshad years, is extremely rare.
Note: Harshad number is a number divisible by sum of its digits.
Years 2022-2025 are Harshad years. It last happened 1000+ years back in 1014-1017.
And will next happen after 1000+ years in 3030-3033.
Note: Harshad number is a number divisible by sum of its digits.
Years 2022-2025 are Harshad years. It last happened 1000+ years back in 1014-1017.
And will next happen after 1000+ years in 3030-3033.
Trigonometrically, tangent of 2025° is 1.
Obviously, happens 180 years apart.
And since, 2025 = 27² + 36²
Hence, 2025 can be represented as hypotenuse of a right triangle with integral sides.
Last such year was 1681 ( = 9² + 40²),
Next such year will be 2809 ( = 28² + 45²).
Obviously, happens 180 years apart.
And since, 2025 = 27² + 36²
Hence, 2025 can be represented as hypotenuse of a right triangle with integral sides.
Last such year was 1681 ( = 9² + 40²),
Next such year will be 2809 ( = 28² + 45²).
January 1, 2025 at 10:45 PM
Trigonometrically, tangent of 2025° is 1.
Obviously, happens 180 years apart.
And since, 2025 = 27² + 36²
Hence, 2025 can be represented as hypotenuse of a right triangle with integral sides.
Last such year was 1681 ( = 9² + 40²),
Next such year will be 2809 ( = 28² + 45²).
Obviously, happens 180 years apart.
And since, 2025 = 27² + 36²
Hence, 2025 can be represented as hypotenuse of a right triangle with integral sides.
Last such year was 1681 ( = 9² + 40²),
Next such year will be 2809 ( = 28² + 45²).
2025 is a centered octagonal number.
Such numbers are represented by an octagon with a dot in the center with surrounding dots in successive octagonal layers.
Last such year was 1849,
Next such year will be 2209.
Such numbers are represented by an octagon with a dot in the center with surrounding dots in successive octagonal layers.
Last such year was 1849,
Next such year will be 2209.
January 1, 2025 at 10:45 PM
2025 is a centered octagonal number.
Such numbers are represented by an octagon with a dot in the center with surrounding dots in successive octagonal layers.
Last such year was 1849,
Next such year will be 2209.
Such numbers are represented by an octagon with a dot in the center with surrounding dots in successive octagonal layers.
Last such year was 1849,
Next such year will be 2209.
As per Nicomachus' theorem:
1³ + 2³ + ... + n³ = (1 + 2 + ... + n)²
Hence, the previous fact can also be stated as 2025 being square of a triangular number.
2025 = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)²
1³ + 2³ + ... + n³ = (1 + 2 + ... + n)²
Hence, the previous fact can also be stated as 2025 being square of a triangular number.
2025 = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)²
January 1, 2025 at 10:45 PM
As per Nicomachus' theorem:
1³ + 2³ + ... + n³ = (1 + 2 + ... + n)²
Hence, the previous fact can also be stated as 2025 being square of a triangular number.
2025 = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)²
1³ + 2³ + ... + n³ = (1 + 2 + ... + n)²
Hence, the previous fact can also be stated as 2025 being square of a triangular number.
2025 = (1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9)²
2025 is also a Cube Year.
2025 = 1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³
= Σ i³
Last such year was 1296,
Next such year will be 3025.
2025 = 1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³
= Σ i³
Last such year was 1296,
Next such year will be 3025.
January 1, 2025 at 10:45 PM
2025 is also a Cube Year.
2025 = 1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³
= Σ i³
Last such year was 1296,
Next such year will be 3025.
2025 = 1³ + 2³ + 3³ + 4³ + 5³ + 6³ + 7³ + 8³ + 9³
= Σ i³
Last such year was 1296,
Next such year will be 3025.
2025 is a perfect square ie 45²
Last such year was 1936.
Next such year will be 2116.
In fact, 2025 can be broken in two parts to express as
2025 = (20 + 25)²
Such year had NEVER occurred,
Next such year will be 3025.
Last such year was 1936.
Next such year will be 2116.
In fact, 2025 can be broken in two parts to express as
2025 = (20 + 25)²
Such year had NEVER occurred,
Next such year will be 3025.
January 1, 2025 at 10:45 PM
2025 is a perfect square ie 45²
Last such year was 1936.
Next such year will be 2116.
In fact, 2025 can be broken in two parts to express as
2025 = (20 + 25)²
Such year had NEVER occurred,
Next such year will be 3025.
Last such year was 1936.
Next such year will be 2116.
In fact, 2025 can be broken in two parts to express as
2025 = (20 + 25)²
Such year had NEVER occurred,
Next such year will be 3025.
Hi Fernando 👋
Glad to find you here !
Glad to find you here !
December 5, 2024 at 7:56 PM
Hi Fernando 👋
Glad to find you here !
Glad to find you here !