Ethereum: Intrinsically useful proof-of-work using Mersenne or Fermat numbers factorization. Could it be possible? [closed]

Ethereum: A potential proof system for working with non -critographic factors

The concept of proof of work (POW) has existed for centuries, and its evolution in cryptocurrencies as Bitcoin has led to various offers and experience. An idea she has collected is the use of non -cryptographic factors as a level of difficulty in POW systems. Proof of work.

In this article, we will study why such a system can be feasible and discuss potential applications.

** What is Mersenne or Fermat Number Factorization?

The Mersen numbers are mathematical constants of the form \ (2^k – 1 \), where k is an integer. Farm numbers are mathematical constants of the form \ (f_k = 2^{2^k} + 1 \). These numbers are widely studied in mathematics and computer science, especially for their potential applications in cryptography.

** Why use Mersenne or Fermat number?

Using Mersenne or Fermat number

* Value off -network

: This can be used if we wanted to create a cryptocurrency that relies on non -cryptographic factors for its proof of work.

* Distribution Nature : This means that the level of difficulty would increase rapidly, make a more challenging solution.

* Scalability

** Can Ethereum use Mersenne or Fermat number?

Non -cryptographic factors in POW systems This means that basic technology and architecture are not directly compatible with this approach.

However, if Ethereum is to adopt a system of evidence of work, the Ethereum team, Know the Ethereum, has studied various alternatives to the powers in their proposals.

Potential Challenges and Restrictions

Equal systems can instrument, there are also potential challenges and restrictions that must be taken into account:

* Mathematical complexity

: The development of algorithms that can effectively factors Mersenne or Fermat would require significant mathematical breakthroughs.

* Scale and performance :

The Ethereum system is theoretically feasible, there are significant challenges and restrictions that must be taken into account. It is essential to carefully evaluate the potential benefits against the disadvantages before looking at such an approach.

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