#Factorization

[toonaviv]

chapter 3 was really good.

[Image description: Digital drawing of characters from Deltarune chapter 3. Toriel and Asgore are walking away from each other with neutral expressions on their face. Tenna is clinging onto the back of their shirts, looking nervously into the pit he is dangling over. In the pit is the Roaring Knight grinning at dark world Kris. Text above them reads "Divorce leads TV to the worst places." End description.]

[edgythoughts]

Why Are Prime Numbers Important 2025

Why Are Prime Numbers Important 2025

The Book-Style Answer (What Teachers Want You to Know) Prime numbers are the building blocks of all other whole numbers. A prime number is any number greater than 1 that has exactly two distinct positive divisors: 1 and itself. This means it can’t be divided evenly by any other whole number. Some common examples: 2, 3, 5, 7, 11, 13, 17… Why do they matter so much? 1. They’re the foundation of number theory. Every whole number greater than 1 can be written as a product of prime numbers — this is called the Fundamental Theorem of Arithmetic. So just like atoms build up all matter, prime numbers build up all whole numbers. 2. They keep your data safe. Prime numbers are the unsung heroes of modern encryption. Most security systems — from online banking to private messaging — rely on the difficulty of factoring very large prime numbers. It’s super easy to multiply two big primes together, but ridiculously hard (even for computers) to reverse-engineer the original primes from their product. 3. They help us understand math patterns. From geometry to algebra to complex algorithms, prime numbers often pop up in surprising places — especially when we try to find patterns or predict outcomes in large sets of numbers. 4. They’re deeply mysterious. We’ve been studying primes for over 2,000 years, and there’s still no formula that generates all of them. We don’t even know if there's a pattern to their distribution. Mathematicians are still chasing answers. In short, prime numbers might look random, but they’re a kind of mathematical gold: rare, powerful, and fundamental. —

The Real-Talk, Friendly Version Alright, let’s be honest. When you first hear the phrase "prime numbers," you probably feel your brain start to glaze over. Like — why do we care if 7 can’t be divided by anything but 1 and itself? That’s not exactly Netflix material. But here’s the truth: prime numbers are the rebels of the math world. They don’t follow the crowd. They can’t be split evenly by anyone except themselves and 1. They’re fiercely independent — and somehow, every single other number in existence is made from them. Seriously — all the big, complicated numbers out there? They’re just prime numbers multiplied together in different ways. So if math were made of LEGO bricks, prime numbers would be the tiny core blocks that everything else snaps onto. But that’s not even the coolest part. Prime numbers are also your digital bodyguards. You know how you can buy stuff online, text your friend something super personal, or check your bank account without everyone on the internet reading over your shoulder? That’s all thanks to prime numbers and encryption. The tech basically hides your info inside really big prime number puzzles that only your computer can solve. And get this — even though we’ve been studying them forever, we still don’t know why primes act the way they do. They’re unpredictable. Mysterious. Beautifully weird. Some of the smartest people alive are still trying to crack their secrets. So yeah — primes might seem like just a math thing, but they’re actually everywhere, from your phone security to ancient codes to theories about the universe. They matter. A lot. — External Resource: Want to dig deeper into the mystery of prime numbers? Check the Wikipedia page: Prime Number https://en.wikipedia.org/wiki/Prime_number — Related Articles from EdgyThoughts.com: Why Is Zero So Powerful in Math 2025 https://edgythoughts.com/why-is-zero-so-powerful-in-math-2025 Why Infinity Isn’t Just a Number 2025 https://edgythoughts.com/why-infinity-isnt-just-a-number-2025 — Disclaimer: The following easy answer is written in a simplified and relatable style to help you understand the topic better. If your teacher expects the textbook version and you write this instead, we are not responsible for any loss of marks. Our goal is purely to make concepts easier to grasp. — Read the full article

[dkettchen]

happy men's day everyoneeeee

[kedreeva]

There's some dude (derogatory) on FB who is PISSED people are pricing their farm fresh eggs at $2 and $3 a dozen instead of $4+, saying it's "disrespectful" and "undignified" and "I'm trying to feed my kids" like Sir, you are on a Facebook group page bitching about your neighbors egg prices because your pet chickens aren't earning you a living wage and you think it's your neighbors' fault, you do not have a leg to stand on here wrt dignity.

Also half the answers are like "I give them to friends and family free" or "I donate them to food banks" or "I'm making them affordable to folks who might not otherwise be able to get them now that they're so expensive in the store" and "if you think you're going to turn a profit keeping backyard chickens you have been wildly misled" and so on, and so forth, and I'm so living for it.

and I can tell you right now, he did NOT like my answer of "if you're trying to feed your kids, I hear eggs are edible."

[eridan-ampora]

valuable life lessons from minecraft:

eye contact is dangerous

don't eat rotten meat

you have to sleep sometimes or else the phantoms get you

[eastgaysian]

[comicexpertt]

Oh my queen. I admire you.

[kodasea]

Cape Falmouth’s “Weeping Salmon"

[biggest-gaudiest-patronuses]

it was a mistake to stop referring to female hysteria as "womb fury"

[shanklin]

Sentient Mystery Shack, who is really biased towards Stan, so when Ford tells Stan he has to give it back after the summer it’s on sight.

Ford keeps tripping over nothing, nothing is where it's supposed to be and somehow he keeps running into closets when he tries to go outside.

But the worst part, the WORST part is that Ford's lightbulb just won't. Work. No matter what he does it keeps flickering and exploding.

Ford is spiraling. 

There is no reason why it shoudln’t work. All his trial runs work perfectly. He’s already checked the Shacks wiring three times and relearned this dimensions science from the ground up. 

Nothing works.

The Rift? Bill? The impending apocalypse? Eating? Sleep? Who cares about that. 

WHY. WONT. THE. LIGHTBULB. WORK???

It doesn’t help that Stan keeps laughing at him.

“Then you do it!” Ford eventually snaps at Stan.

Stan shrugs and with a little song under his breath screws his own lightbulb in. It works perfectly.

Stanford screams.

[rooniearts]

Imagine: Silver loss his hearing not just cause of loud noises.

But because of his crying as a baby? Those sounds can get loud…

Alternative: Racing with Sonic at his young age. The sound of the wind messed with his ears.

HMMMMMMMMM🤔🧐😔

as funny as Sonic having accidentally messed up Silver's hearing with a sound barrier breaking piggyback ride, i personally am very partial to this explaination for how he gets hearing loss in dadow;

[edgythoughts]

Why Is Zero So Powerful in Math 2025

Why Is Zero So Powerful in Math 2025

📘 Book-Level Answer (University-Level – Mathematics & History) Zero, represented as “0,” is not just a placeholder or a symbol for "nothing"—it is a cornerstone of modern mathematics. The introduction and understanding of zero fundamentally reshaped arithmetic, algebra, calculus, computer science, and even philosophical reasoning in mathematics. 🔢 Mathematical Power of Zero 1. Zero as an Identity Element In arithmetic, zero is the additive identity, which means: a+0=afor any real number aa + 0 = a quad text{for any real number } a This property is foundational to number theory and linear algebra, especially when defining vector spaces and algebraic structures like groups and rings. 2. Zero in Algebra - Roots of equations: Solving for when an equation equals zero helps us find key points like intercepts and turning points. - Zero-product property: If ab=0ab = 0, then either a=0a = 0, b=0b = 0, or both — a crucial principle in factoring and solving equations. 3. Zero in Calculus - Limits and continuity: Zero plays a key role in limits. For example, lim⁡x→0sin⁡xx=1lim_{x to 0} frac{sin x}{x} = 1 - Derivatives: The rate of change is often zero at maximum or minimum points. 4. Zero in Coordinate Systems Zero gives us the origin in a Cartesian coordinate system (0,0)(0, 0), a reference point from which we measure all other positions in geometry and physics. 5. Zero in Computer Science Binary code (the language of computers) is built using only two digits: 1 and 0. Zero represents the “off” state in logic gates and digital signals.

📜 Historical Significance of Zero - Ancient Origins: Zero was developed independently in ancient India (by Brahmagupta in the 7th century) and Mesoamerica (by the Mayans). - It revolutionized counting systems—especially the place-value system—making arithmetic operations like multiplication and division practical and scalable. 💡 Easy Explanation (Understanding Zero for Everyone) Imagine you're playing a game where you score points. If you have “0 points,” you haven't scored yet—but that still means something. Zero tells you where you are, even if it's at the starting point. Why is zero powerful? - It’s not just nothing—it’s a marker. A starting line. - Without zero, we couldn’t write big numbers like 1,000. You’d be stuck figuring out whether 1 is ten or a hundred! - It balances equations. If you want to keep things fair on both sides, you often use zero. In everyday life: - Bank account: If you have ₹0, you know exactly how much you have—not unknown or empty, but zero. - Temperature: Zero degrees is the point between freezing and not freezing—it's important! 🧠 Summary: - Zero is the additive identity. - It makes equations solvable and systems like calculus work. - It marks origin points in math and space. - It powers computer logic. - It revolutionized number systems and mathematical thinking. ⚠️ Disclaimer: The easy explanation is just to help you understand the concept in simple terms. For academic or exam purposes, always rely on the detailed explanation. If you score less for using this simplified version, we're not responsible—we're just here to make things clearer for learning purposes. 🔗 Related Reading from Our Blog: - How Does Quantum Entanglement Work 2025 https://edgythoughts.com/how-does-quantum-entanglement-work-2025 - How Do Gravitational Waves Affect Space-Time 2025 https://edgythoughts.com/how-do-gravitational-waves-affect-space-time-2025 🔗 External Source: - https://en.wikipedia.org/wiki/0 Read the full article

[nondistinctmeganerd]

obsessed with the idea that outsiders (specifically the JL) hear whispers of Red Hood, and strapping themselves in for Batman to have another rogue on his hands, preparing for the sour mood and curt responses, and it just never happens??

there's talk about Red Hood becoming a force to be reckoned with and how he's gonna be less than easy to handle, but after word spread there was just nothing.

Flash asks Batman and he just grunts out 'its handled' and no one brings it up again.

Everyone is unsettled and slightly worried until an attack relatively close to Gotham has the Bats rolling up, right behind them is the infamous red helmet and an undeniable bat painted on his chest.

the JL comms explode into yelling

Batman mutes his earpiece

[vos0q]

“Cora-San-!”