0

Why do we need to know about prime numbers with millions of digits? #2⁷⁷²³²⁹¹⁷-1

Why do we need to know about prime numbers with millions of digits

This article from the Conversation dives into the quest for prime numbers. Prime numbers are crucial to encryption and private communication. The bigger the prime the safer the information:

An ongoing project – the Great Internet Mersenne Prime Search – which aims to discover more and more primes of a particularly rare kind, has recently resulted in the discovery of the largest prime number known to date. Stretching to 23,249,425 digits, it is so large that it would easily fill 9,000 book pages. By comparison, the number of atoms in the entire observable universe is estimated to have no more than 100 digits.

The number, simply written as 2⁷⁷²³²⁹¹⁷-1 (two to the power of 77,232,917, minus one) was found by a volunteer who had dedicated 14 years of computing time to the endeavour.

Secrecy with prime numbers

One of the most widely used applications of prime numbers in computing is the RSA encryption system. In 1978, Ron Rivest, Adi Shamir and Leonard Adleman combined some simple, known facts about numbers to create RSA. The system they developed allows for the secure transmission of information – such as credit card numbers – online.

The primal quest

It is neither safer cryptosystems nor improving computers that drove the latest Mersenne discovery, however. It is mathematicians’ need to uncover the jewels inside the chest labelled “prime numbers” that fuels the ongoing quest. This is a primal desire that starts with counting one, two, three, and drives us to the frontiers of research. The fact that online commerce has been revolutionised is almost an accident.

Read More


Join 6,000+ makers on Adafruit’s Discord channels and be part of the community! http://adafru.it/discord

CircuitPython in 2018 – Python on Microcontrollers is here!

Have an amazing project to share? Join the SHOW-AND-TELL every Wednesday night at 7:30pm ET on Google+ Hangouts.

Join us every Wednesday night at 8pm ET for Ask an Engineer!

Follow Adafruit on Instagram for top secret new products, behinds the scenes and more https://www.instagram.com/adafruit/


Maker Business — Aquarium troubles: the cost of iteration and troubleshooting with a manufacturers abroad

Wearables — Plastic gem know-how

Electronics — Counting Pin Numbers

Biohacking — Exploring Our Inner Reality : Entopic Visions

Python for Microcontrollers — CircuitPython 3.0.0 Release Candidate 0 released!

Get the only spam-free daily newsletter about wearables, running a "maker business", electronic tips and more! Subscribe at AdafruitDaily.com !



1 Comment

  1. This table never existed and is not to be confused with the Sive of Eratosthenes….HERE is prime and New factorization method… this is Not to be confused with the Sive of Eratosthenes https://m.youtube.com/watch?v=K9gKZNAWZ9M MANUALLY FACTOR ALL NUMBERS AND SPOT ALL PRIMES BETWEEN using GRADE FOUR MATH here is the table which needs a bit of editing.. http://ashesmi.yolasite.com/resources/Prime%20Sequence%20Serries%20With%20Pet%203.pdf please share! Get the elementary schools to teach this method please!

Sorry, the comment form is closed at this time.