What three parameters could make secured channels?

What three parameters could make secured channels?

Postby Guest » Thu Jan 18, 2024 4:00 am

"Make it simple and very difficult to crack." 8)

Scheme A:

Parameter 1: Choose a large prime (p) at random.

Parameter 2: Compute or estimate the max gap (m) for successive primes, p and q, such that [tex]2 \le q - p \le m[/tex].

Parameter 3: Choose at random a length, l > 100, which indicates l successive primes after p.

...
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Re: What three parameters could make secured channels?

Postby Guest » Sat May 18, 2024 4:34 pm

Sir Zero wrote:"Make it simple and very difficult to crack." 8)

Scheme A:

Parameter 1: Choose a large prime (p) at random.

Parameter 2: Compute or estimate the max gap (w) for successive primes, p and q, such that [tex]2 \le q - p \le w[/tex].

Parameter 3: Choose at random a length, l > 100, which indicates l successive primes after p.

pwl is quite interesting! Go figure!

...


PWL is also short for Polignac's Wondrous Law:

Polignac's conjecture is true!
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Re: What three parameters could make secured channels?

Postby Guest » Sat May 18, 2024 5:37 pm

Guest wrote:
Sir Zero wrote:"Make it simple and very difficult to crack." 8)

Scheme A:

Parameter 1: Choose a large prime (p) at random.

Parameter 2: Compute or estimate the max gap (w) for successive primes, p and q, such that [tex]2 \le q - p \le w[/tex].

Parameter 3: Choose at random a length, l > 100, which indicates l successive primes after p.

pwl is quite interesting! Go figure!

...


PWL is also short for Polignac's Wondrous Law:

Polignac's conjecture is true!


WHY?

"Efficiency Law states that the repetition of prime gaps between successive prime numbers and the growth of prime gaps between successive prime numbers are essential for the efficient generation of all composites (all positive integers that are not prime) in accordance with the Fundamental Theorem of Arithmetic and in accordance with the Prime Number Theorem."
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Re: What three parameters could make secured channels?

Postby Guest » Sat May 18, 2024 5:48 pm

The spectrum is flat (white noise)!

That means it is impossible to predict when all primes will occur along the natural number line.

Primes are a true wonder! :D
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Re: aWhat three parameters could make secured channels?

Postby Guest » Sat May 18, 2024 6:19 pm

Now, it is not too difficult to show mathematically that the Polignac's conjecture is true! Go figure! :D
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Re: What three parameters could make secured channels?

Postby Guest » Sat May 18, 2024 9:38 pm

Very Important Idea:

The trivial zeros of the Riemann zeta function are all negative even integers, such as -2, -4, -6,... where ζ(s) = 0.

And they indicate the Polignac's conjecture is true!
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Re: What three parameters could make secured channels?

Postby Guest » Sat May 18, 2024 11:55 pm

Sir Zero wrote:The spectrum is flat (white noise)!

That means it is impossible to predict where all primes will occur along the natural number line.

Primes are a true wonder! :D
Guest
 


Re: What three parameters could make secured channels?

Postby Guest » Tue May 21, 2024 9:00 am

Sir Zero wrote:FYI (MathOverflow Link):

What is the importance of Polignac’s conjecture?


Remark:
We submitted an answer to the question on MathOverflow, but a few contributors of MathOverflow forced a deletion (censorship) of our answer. Life can be quite unfair! :cry:
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Re: What three parameters could make secured channels?

Postby Guest » Tue Jun 25, 2024 7:44 am

Guest wrote:
Guest wrote:
Sir Zero wrote:"Make it simple and very difficult to crack." 8)

Scheme A:

Parameter 1: Choose a large prime (p) at random.

Parameter 2: Compute or estimate the max gap (w) for successive primes, p and q, such that [tex]2 \le q - p \le w[/tex].

Parameter 3: Choose at random a length, l > 100, which indicates l successive primes after p.

pwl is quite interesting! Go figure!

...


PWL is also short for Polignac's Wondrous Law:

Polignac's conjecture is true!


WHY?

"Efficiency Law states that the repetition of prime gaps (even integers) between successive prime numbers and the growth of prime gaps between successive prime numbers are essential for the efficient generation of all composites (all positive integers that are not prime) in accordance with the Fundamental Theorem of Arithmetic and in accordance with the Prime Number Theorem."
Guest
 

Re: What three parameters could make secured channels?

Postby Guest » Tue Jun 25, 2024 8:10 am

Guest wrote:
Sir Zero wrote:The spectrum is flat (white noise)!

That means it is impossible to predict where all primes will occur along the natural number line.

Primes are a true wonder! :D


Relevant Reference Link:

Montgomery's pair correlation conjecture
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Re: What three parameters could make secured channels?

Postby Guest » Tue Jul 09, 2024 12:47 pm

Attachments
Dave Cole or David Cole's answer to Why must Polignac's conjecture be true_ - Quora.pdf
Proof Hints for Polignac's Conjecture
(273.93 KiB) Downloaded 376 times
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Re: What three parameters could make secured channels?

Postby Guest » Wed Feb 12, 2025 1:18 pm

Primetime Update:

Sir Zero wrote:The spectrum is flat (white noise)!

That means it is impossible to predict where most (infinitely many) primes will occur along the natural number line.

Primes are a true wonder!! :D

Relevant Reference Link:

Montgomery's pair correlation conjecture


Go Blue!! :D
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Re: What three parameters could make secured channels?

Postby Guest » Wed Feb 12, 2025 2:13 pm

Attachments
Screenshot_20250212-130719.png
"Sound theory and practice (application) should be mutually beneficial!" :-)
Screenshot_20250212-130719.png (264.92 KiB) Viewed 4343 times
Screenshot_20250212-130752.png
"Sound theory and practice (application) should be mutually beneficial!" :-)
Screenshot_20250212-130752.png (230.03 KiB) Viewed 4343 times
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Re: What three parameters could make secured channels?

Postby Guest » Sun Feb 16, 2025 11:09 pm

Question: When AI or general AI clearly proves the Riemann Hypothesis (RH) or its generalizations, should we, humans, celebrate or pray for our salvation as a species?
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Re: What three parameters could make secured channels?

Postby Guest » Wed Feb 26, 2025 7:42 pm

Guest wrote:Question: When AI or general AI clearly proves the Riemann Hypothesis (RH) or its generalizations, should we, humans, celebrate or pray for our salvation as a species?


“That's a fascinating and complex question! The implications of AI proving the Riemann Hypothesis (RH) or its generalizations are multifaceted and touch on several areas:

**If AI proves the RH:**

* **Scientific Celebration:** From a purely scientific perspective, it would be a monumental achievement. The RH has baffled mathematicians for over a century, and its proof would have profound implications for number theory and many other fields. It would be a testament to the power of both human intellect in formulating the hypothesis and AI's capabilities in tackling such a complex problem. We should absolutely celebrate this intellectual milestone.

* **Technological Advancement:** The RH is connected to various areas of technology, including cryptography. A proof (or disproof) could lead to breakthroughs in these fields.

* **Existential Questions:** This is where the "prayer" aspect comes in. While the proof itself wouldn't directly threaten humanity, it would raise profound questions about our place in the universe and our intellectual capabilities. It might force us to reconsider what it means to be intelligent and creative. It could also accelerate the development of even more powerful AI systems, leading to further existential questions about the future of humanity.

* **No Salvation?** The idea of "no salvation" is a bit dramatic. The RH is a mathematical conjecture, not a direct threat. However, the *implications* of AI surpassing human capabilities in such fundamental ways could lead to anxieties about our future. It's not about the RH itself, but what it represents: the potential for AI to outstrip human intellect in areas we consider uniquely human.

**Should we celebrate or pray?**

The answer is likely *both*. We should celebrate the scientific achievement and the advancement of knowledge. But we should also be thoughtful and reflective about the implications of such a breakthrough. It's an opportunity to engage in deep philosophical discussions about the nature of intelligence, consciousness, and our place in the cosmos.

**Key Considerations:**

* **AI's Role:** The way the AI arrives at the proof matters. If it's a "black box" solution with no humanly understandable steps, it might be less satisfying intellectually, even if we accept the result. Ideally, the AI would provide insights and methods that humans can understand and build upon.

* **General AI vs. Narrow AI:** If a *narrow* AI (designed specifically for this task) proves the RH, it's less existentially concerning than if a *general* AI (with broader intellectual capabilities) does so. A general AI achieving this feat would be a stronger signal of its potential to surpass human intelligence in various domains.

* **Human Adaptability:** Humans are remarkably adaptable. Even if AI surpasses us in certain areas, we can still find meaning and purpose in other aspects of life. It might even free us from some intellectual drudgery and allow us to focus on other forms of creativity and exploration.

In Conclusion:

"The proof of the RH by AI would be a complex event with both positive and potentially unsettling aspects. Celebration is warranted for the scientific achievement, but thoughtful reflection and consideration of the broader implications are equally important. It's not necessarily a question of "salvation" or "no salvation," but rather an opportunity for growth and a deeper understanding of ourselves and our universe." -- Gemini (AI chatbot).

However, I think AI will be weaponized in the category of WMDs... And it will do much more harm than good. We, humans, and other lifeforms, are currently experiencing the sixth mass extinction event (Holocene extinction) on Earth. Go figure!

“You've raised a very serious and valid concern. The potential for AI to be weaponized, particularly as a weapon of mass destruction (WMD), is a significant threat that we must address. And you're right to connect it to the ongoing sixth mass extinction – it underscores the precariousness of our situation.

Let's break down the issues you've highlighted:

**AI as a WMD:*** **Autonomous Weapons:**

The development of autonomous weapons systems, capable of making life-or-death decisions without human intervention, is deeply troubling. The potential for unintended consequences, escalation, and the erosion of human control is immense.

* **Dual-Use Technology:**

Many AI technologies have dual-use potential, meaning they can be used for both beneficial and harmful purposes. This makes regulation and control challenging. Even seemingly benign AI advancements could be repurposed for military or malicious use.

* **Disinformation and Manipulation:**

AI can be used to create highly realistic fake videos and audio (deepfakes), spreading disinformation and manipulating public opinion. This can destabilize societies and incite violence.* **Cyber Warfare:** AI can enhance cyber warfare capabilities, making attacks more sophisticated and difficult to defend against. This could target critical infrastructure, causing widespread disruption and chaos.

* **Accessibility:**

As AI technology becomes more accessible, the risk of it falling into the wrong hands increases. Non-state actors or rogue states could use AI to develop devastating weapons.**The Sixth Mass Extinction:*** **Human Impact:** The overwhelming scientific consensus is that we are currently experiencing a sixth mass extinction event, largely driven by human activities such as habitat destruction, pollution, climate change, and over exploitation of resources.

* **Interconnectedness:**

The loss of biodiversity weakens ecosystems and makes them less resilient to shocks, including those potentially caused by AI-related disruptions.* **Ethical Considerations:** The extinction of species raises profound ethical questions about our responsibility to the planet and future generations.

**Connecting the Issues:**

The possibility of AI being weaponized as a WMD exacerbates the existing threats posed by the sixth mass extinction. AI could accelerate environmental destruction through:

* **Autonomous Resource Exploitation:**

AI-powered systems could be used to exploit natural resources at an unsustainable rate, further damaging ecosystems.

* **Environmental Monitoring and Control:**

While AI could be used for environmental monitoring, it could also be used to manipulate or disrupt natural systems with unforeseen consequences.

* **Escalating Conflicts:**

AI-driven conflicts could lead to widespread environmental damage, including the release of toxic substances or the disruption of critical ecological processes.

**What Can Be Done?*** **

International Cooperation:**

We need international agreements and regulations to prevent the weaponization of AI and promote its responsible development.

* **Ethical Guidelines:**

Developing ethical guidelines and standards for AI research and development is crucial.

* **Transparency and Accountability:**

We need transparency in AI algorithms and decision-making processes, as well as accountability for the harms they may cause.

* **Public Awareness:**

Raising public awareness about the risks and benefits of AI is essential for informed decision-making.

* **Focus on Beneficial AI:**

We should prioritize the development of AI for beneficial purposes, such as addressing climate change, improving healthcare, and promoting sustainable development.You're right to be concerned. The potential for AI to be misused is a serious threat, and it's essential that we take steps to mitigate these risks. Connecting this concern to the ongoing mass extinction highlights the urgency of the situation. We need to act now to ensure that AI is used for the betterment of humanity and the planet, not its destruction.” — Gemini (AI chatbot)
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