• Registered: 2022-01-21
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Topic: A large prime number

> Largest known prime number, spanning 41 million digits, discovered by amateur mathematician using free software

https://www.msn.com/en-gb/entertainment … r-AA1sJUcY

  • Registered: 2022-01-21
  • Posts: 1,588

Re: A large prime number

Some puzzles for those of us who enjoy such stuff.

How is that prime number expressed in binary notation?

How many zeros are there in that binary expression of that prime number?

  • Alfred
  • Alfred
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  • Registered: 2022-01-21
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Re: A large prime number

William wrote:

> Largest known prime number, spanning 41 million digits, discovered by amateur mathematician using free software

https://www.msn.com/en-gb/entertainment … r-AA1sJUcY

The original Live Science article is here:

https://www.livescience.com/physics-mat … e-software

I wonder why MSN classifies this as ‘entertainment news’!

"Has it ever struck you that life is all memory, except for the one present moment that goes by you so quick you hardly catch it going?"
― Tennessee Williams
  • Registered: 2022-01-21
  • Posts: 1,588

Re: A large prime number

William wrote:

Some puzzles for those of us who enjoy such stuff.

How is that prime number expressed in binary notation?

How many zeros are there in that binary expression of that prime number?

Has anyone tried these puzzles?

William

  • Registered: 2022-01-21
  • Posts: 1,588

Re: A large prime number

Answers to the puzzles.

The new number is 2^136,279,841 – 1

So, in binary notation that number is a sequence of 136,279,841 of the symbol 1

There are no zeros in that sequence.

as 2^n - 1 can be expressed in binary notation as a sequence of n of the symbol 1

For example 2^3 - 1 is 8 - 1 which is 7 and 7 in binary is 111

There are no zeros in that sequence.

For example 2^4 - 1 is 16 - 1 which is 15 and 15 in binary is 1111

There are no zeros in that sequence.

William