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

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Ethereum: Potential system of proof of work with nhripographic factors

The concept of proof of work (eating) has been going on for centuries, and its development of cryptocurrencies, such as Bitcoin, caused various proposals and experiments. One of the ideas he focuses on is the use of neristographic factors as a level of difficulty in the poviat systems. This approach is often referred to as proof of “necessary” jobs.

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

What is the ratio of Mersenne or Fermat?

The numbers of Mersenn are a formed mathematical permanent \ (2^k – 1 \), where the total number is. Fermat figures are forms of mathematical constant (f_k = 2^{2^k} + 1 \). These numbers are widely studied in mathematics and computer science, especially their potential use in cryptography.

Why use Mersenne or Fermat numbers?

The use of Mersenne or Fermat numbers as a level of difficulty in power systems offers a number of benefits:

* Outdoor value : As mentioned above, these numbers have unusual properties that complicate them. This can be useful if we want to create a cryptocurrency that depends on ensuring its work, which is not cryptographic factors.

* The form of distribution

: Mersenne and Fermat figurines have properties that can cause an increase in difficulty with the number of rounds (K). This means that the level of difficulty will increase rapidly, which makes it more difficult.

* scalability : The use of these numbers can potentially lead to a more scalable Jesus system, because the difficulty in the factor increases faster than traditional area systems.

Can Ethereum use Mersenne or Fermat numbers?

While we have discussed possible applications related to non -conversation factors in POW systems, it should be noted that the Ethereum is created above the unanimity algorithm (POS). This means that basic technology and architecture are not directly compatible with this approach.

However, if Ethereum accepted the work evidence system based on Mersenne or Fermat numbers, it would require significant changes in the Ethereum nucleus. Known as the Ethereum Foundation, Ethereum studied various alternatives of POWP systems in his proposals.

potential challenges and restrictions

Although the use of non -civic factors in POWP systems may offer some benefits, there are also potential problems and restrictions that should be taken into account:

* Mathematical complexity : Developing algorithms that can effectively take into account mesenne or fermat numbers would require significant mathematical breakthroughs.

* Scalability and efficiency : The difficulty of using these numbers can lead to a slower time of transaction processing and short scalability, making it less suitable for high content applications.

To sum up, it is theoretically possible to use mersenne numbers or Fermat as an Ethereum work system, significant problems and restrictions should be taken into account. Before considering this approach, it is important to accurately assess the potential benefits of deficiencies.

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