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-   -   What is the largest perfect number found? (https://www.mersenneforum.org/showthread.php?t=27875)

 usergood 2022-06-21 16:53

What is the largest perfect number found?

I found a huge perfect number where I can look at past results. Is there any bonus for perfect numbers?

 Uncwilly 2022-06-21 17:18

All of the Mersenne Primes have an associated perfect number that we get for free.
[url]https://primes.utm.edu/mersenne/index.html#theorems[/url]
You can see the list here: [url]https://www.mersenne.org/primes/[/url]

 Batalov 2022-06-21 17:59

[QUOTE=usergood;608213]I found a huge perfect number where I can look at past results. Is there any bonus for perfect numbers?[/QUOTE]
Sure, a great bonus - you will become world famous!
...as long as it is not a dud.
Surprise us!

 kriesel 2022-06-21 18:03

Especially if it's [URL="https://mathworld.wolfram.com/OddPerfectNumber.html"]odd[/URL]. [url]https://blogs.scientificamerican.com/roots-of-unity/odd-perfect-numbers/[/url][QUOTE=usergood;608213]I found a huge perfect number[/QUOTE]How?

 paulunderwood 2022-06-21 23:29

[QUOTE=usergood;608213]I found a huge perfect number where I can look at past results. Is there any bonus for perfect numbers?[/QUOTE]

If you have found a new Mersenne prime please email :woltman:

If it is not a Mersenne prime, please tell us what it is and we can best advise you where it might be put.

The bonus for a Mersenne prime is some prize money and world fame.

 sweety439 2022-06-22 03:45

[QUOTE=usergood;608213]I found a huge perfect number where I can look at past results. Is there any bonus for perfect numbers?[/QUOTE]

Your perfect number is even or odd?

All even perfect numbers [B]must[/B] be of the form 2^(p-1)*(2^p-1) with 2^p-1 prime.

 mathwiz 2022-06-22 16:28

Yes. So, to recap:
[LIST][*]If you have actually found a new EVEN perfect number, you've also found a new Mersenne prime, and will become famous (and possibly win money).[*]If you have found an ODD perfect number, you have solved (by example) [URL="https://en.wikipedia.org/wiki/Perfect_number#Odd_perfect_numbers"]a well-known unsolved problem in mathematics[/URL], and will also become famous.[/LIST]
So... We're all waiting with bated breath to hear about this new perfect number. :smile:

 Stargate38 2022-06-22 16:30

At the moment, the largest known perfect number (unless yours is bigger) is 2^165179865-2^82589932=2^82589932*M82589933.

 kriesel 2022-06-22 16:39

[QUOTE=mathwiz;608285]So... We're all waiting with bated breath to hear about this new perfect number.[/QUOTE]
...crickets...
OP may simply be a troll.

 Uncwilly 2022-06-22 17:20

[QUOTE=kriesel;608287]OP may simply be a troll.[/QUOTE]Or someone with a busy day job, or has other reasons that they can't get back to the forum right away.

 retina 2022-06-22 17:41

Anyone that has really found a new perfect number won't be posting here asking where to find previous ones.

It is no trivial matter to find a new one. I can't believe someone with such skills has no knowledge of what has already been done.

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