Long math equation for my sister's 25th birthday please

[iamnim]

Hi I’m looking for someone who could help me with this little problem of mine... My sister studies math at a university she is on her 3rd year and her birthday is coming up i would like to make her a Tshirt with a print that says “I am (long mathe equation) years old... so i need a math equation that equals to 25 i saw a comment on a similar post but i need something a bit longer than just
52∞∑n=012n−e(2)(5)iπ+∫522xdx
Referencehttps://www.physicsforums.com/threads/equation-to-equal-25.699794/
I need an equation that is a bit longer and harder to solve as well since she does study math I hope to make her think twice when she looks at it too... hopefully someone could help me and thanks in advance
Cheers

 

[fresh_42]

How about the solution of:
$$
\dfrac{\sqrt{5}^5}{4\pi^2} \cdot \sum_{n=1}^\infty \dfrac{x}{n\cdot n \cdot (n+1)}\cdot \dfrac{F_n \cdot L_n}{C_n} = 1
$$
where $F_n$ is the Fibonacci sequence, $L_n$ the Lucas sequence and $C_n$ the Catalan sequence. You will find their definitions, e.g. on Wikipedia.

 

[Charles Link]

I know you might be looking for something longer, but something that would be easy to print on a t-shirt would be $4! +1$. (4!=4x3x2x1 ). (The exclamation mark is used in mathematics for the "factorial" symbol)... (Probably much too simple...)

 

[fresh_42]

I know you might be looking for something longer, but something that would be easy to print on a t-shirt would be $4! +1$. (4!=4x3x2x1 ). (The exclamation mark is used in mathematics for the "factorial" symbol)... (Probably much too simple...)

For a simple one, I'd chosen the classical Pythagorean: $3^2+4^2$. Not very complicated or long, but it started number theory - in a way.

 

[fresh_42]

Here's another strange one which is at least long:
$$\operatorname{max}^2 \{\,n\in \mathbb{N}_0\,\vert \,2^n+7^n+8^n+18^n+19^n+24^n-3^n-4^n-12^n-14^n-22^n-23^n=0\,\}$$

 

[mfb]

Combining posts 3 and 4: y=25 (and x=4) is the only solution to $y=x! + 1 = x^2 + (x-1)^2$ where x is an integer. Not a nice equation, however. I like post 5.

 

[Mark44]

For a simple one, I'd chosen the classical Pythagorean: $3^2+4^2$. Not very complicated or long, but it started number theory - in a way.

Somewhat related, but as an integral akin to the one you wrote in the linked thread:

$\int_{12}^{13}2x~dx$
This evaluates to $x^2|_{12}^{13} = (13)^2 - (12)^2) = 169 - 144 = 25$

 

[QuantumQuest]

I know you might be looking for something longer, but something that would be easy to print on a t-shirt would be $4!+1.$(4!=4x3x2x1 ). (The exclamation mark is used in mathematics for the "factorial" symbol)... (Probably much too simple...)

As I saw it at first, I thought that the dot between 1 and parenthesis was "times" but it is not. So, to make it a little longer, I'm borrowing the idea, changing one sign and adding 1
$4!+1\cdot(4!-4\cdot3\cdot2\cdot1)+1$

 

[mathwonk]

if she knows how to solve cubics, maybe ask "If X^3 = 12X + 65, then X^2 = ?"

 

[iamnim]

Thanks to everyone for the help i ended up using the one with the maximum... she loves the shirt... thanks again