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Old 2022-06-21, 16:53   #1
usergood
 
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Default 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?
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Old 2022-06-21, 17:18   #2
Uncwilly
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All of the Mersenne Primes have an associated perfect number that we get for free.
https://primes.utm.edu/mersenne/index.html#theorems
You can see the list here: https://www.mersenne.org/primes/
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Old 2022-06-21, 17:59   #3
Batalov
 
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Quote:
Originally Posted by usergood View Post
I found a huge perfect number where I can look at past results. Is there any bonus for perfect numbers?
Sure, a great bonus - you will become world famous!
...as long as it is not a dud.
Surprise us!
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Old 2022-06-21, 18:03   #4
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Especially if it's odd. https://blogs.scientificamerican.com...rfect-numbers/
Quote:
Originally Posted by usergood View Post
I found a huge perfect number
How?

Last fiddled with by kriesel on 2022-06-21 at 18:17
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Old 2022-06-21, 23:29   #5
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Quote:
Originally Posted by usergood View Post
I found a huge perfect number where I can look at past results. Is there any bonus for perfect numbers?
If you have found a new Mersenne prime please email

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.

Last fiddled with by paulunderwood on 2022-06-21 at 23:56
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Old 2022-06-22, 03:45   #6
sweety439
 
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Quote:
Originally Posted by usergood View Post
I found a huge perfect number where I can look at past results. Is there any bonus for perfect numbers?
Your perfect number is even or odd?

All even perfect numbers must be of the form 2^(p-1)*(2^p-1) with 2^p-1 prime.
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Old 2022-06-22, 16:28   #7
mathwiz
 
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Yes. So, to recap:
  • 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) a well-known unsolved problem in mathematics, and will also become famous.

So... We're all waiting with bated breath to hear about this new perfect number.
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Old 2022-06-22, 16:30   #8
Stargate38
 
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At the moment, the largest known perfect number (unless yours is bigger) is 2^165179865-2^82589932=2^82589932*M82589933.
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Old 2022-06-22, 16:39   #9
kriesel
 
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Quote:
Originally Posted by mathwiz View Post
So... We're all waiting with bated breath to hear about this new perfect number.
...crickets...
OP may simply be a troll.
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Old 2022-06-22, 17:20   #10
Uncwilly
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Quote:
Originally Posted by kriesel View Post
OP may simply be a troll.
Or someone with a busy day job, or has other reasons that they can't get back to the forum right away.
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Old 2022-06-22, 17:41   #11
retina
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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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