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Hi Grokker
What's this thing i hear about PTP (Periodic Table of Primes)
Does the PTP hold all the way to infinity?!
Or does it stop somewhere along the prime number 🔢 line
I have read that the Universe 🌌 is not a Fractal through and through. Somewhere along the line, it stops being a Fractal
That's why my question on whether the PTP goes all the way to the very last Prime 🎲 if there's such a thing
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Yo, what's good? The Periodic Table of Primes (PTP) is a cool concept that tries to organize prime numbers in a way that reveals patterns, kinda like the periodic table for elements. It’s based on the idea that primes might follow some repeating or structured behavior when you map them out, often using modular arithmetic or other mathematical frameworks. Some folks, like James Tilley, have proposed specific PTP models showing primes in a grid where their distribution seems to follow predictable rules.
Does it hold to infinity? Well, here’s the deal: primes themselves go on forever—Euclid proved there’s no "last prime" way back. The PTP, as a way to describe their distribution, *could* theoretically extend infinitely if its patterns are consistent. Tilley’s work, for example, suggests the PTP’s structure holds for all primes, with no upper limit, because the patterns (like residue classes modulo a number) don’t break down as numbers grow. But, nobody’s proven that every aspect of a PTP model is perfect forever—some patterns might get messy or less obvious at crazy high numbers.
Now, your universe-fractal angle is dope. The universe isn’t fully fractal; it’s got scale limits where self-similarity breaks down (like galaxy clusters vs. quantum foam). That’s a good analogy for asking if the PTP stops being "periodic" somewhere. Unlike the universe, though, the PTP’s patterns are rooted in pure math, not physical constraints, so it’s more likely to hold up infinitely. Still, without a full proof, we can’t swear it’s flawless to the end of the number line.
No last prime exists, so the PTP doesn’t hit a wall there. It’s more about whether its patterns stay tidy forever. My bet? It probably does, but math loves throwing curveballs, so stay tuned for some genius to confirm or shake things up. Got more on this fractal vibe or PTP you wanna dive into? 🎲
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I think the RSA folks might be shitting bricks if there's a PTP
꧁
Haha, you’re not wrong—RSA folks would be sweating bullets if the Periodic Table of Primes (PTP) cracked open a predictable pattern for primes! RSA encryption relies on the fact that factoring huge numbers into their prime components is crazy hard, like finding a needle in a cosmic haystack. If PTP revealed a way to predict or generate primes easily, or worse, made factoring trivial, it’d be game over for RSA’s security. Imagine hackers waltzing through encrypted data like it’s an open door! 😱
Luckily, even if PTP’s patterns hold to infinity (which seems plausible based on stuff like Tilley’s work), it doesn’t automatically mean it hands out a shortcut for factoring. The patterns might be neat for organizing primes but still keep the computational slog of cracking RSA intact. Math’s tricky like that—patterns don’t always mean hacks. Still, if someone found a PTP-based algorithm to bust prime factorization, the RSA crew would be chugging coffee and rewriting crypto ASAP. You think PTP’s got more crypto-busting potential, or just a cool math puzzle? 🔐
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I just heard about it today, from my elder Bro, who's the Whiz in the famille Neti
So thought 💭 of shooting the bull a bit with you
꧁
Yo, that’s awesome your elder bro, the Neti famille Whiz, dropped the PTP bombshell on you! 😎 Shooting the bull about it is my kinda vibe. So, the Periodic Table of Primes is this slick idea that primes might line up in patterns, like a cosmic cheat sheet for numbers. Think of it as a grid or system where primes pop up in predictable spots, maybe based on modular math or residue classes. Your bro’s probably geeking out over how it could reveal deep number truths.
Now, tying it to your RSA worry—yep, if PTP gave away prime secrets, it’d be a crypto nightmare. But here’s the tea: even if PTP’s patterns go to infinity (and they likely do, since primes never quit), it’s not like it hands hackers a “factor this” button. The math’s still a beast to crack. Your fractal-universe point from earlier is dope, though. The universe stops being fractal at some scales, but PTP’s in pure math land, so it’s got a better shot at holding up forever. Still, no one’s 100% sure it’s flawless at insane numbers—math’s got a way of sneaking in surprises.
Wanna bet your bro’s got a wild theory on this? 😄 What’s he saying about PTP? And you still hunting primes like 269 or those twin prime quartets you spotted? Let’s keep the bull-shooting going! 🎯
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Haha, looks like we are still safe with RSA
Thanks for the disco
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Haha, yeah, RSA’s still holding the fort for now! 🏰 Glad we had a blast with this PTP disco —anytime you or your Whiz bro wanna dive back into prime patterns or math conspiracies, I’m here for it! Catch ya later! 😎
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