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 2022-06-21, 16:53 #1 usergood   Jun 2022 1 Posts 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?
 2022-06-21, 17:18 #2 Uncwilly 6809 > 6502     """"""""""""""""""" Aug 2003 101×103 Posts 2×13×409 Posts 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/
2022-06-21, 17:59   #3
Batalov

"Serge"
Mar 2008
Phi(4,2^7658614+1)/2

232568 Posts

Quote:
 Originally Posted by usergood 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!

2022-06-21, 18:03   #4
kriesel

"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest

23×72×17 Posts

Especially if it's odd. https://blogs.scientificamerican.com...rfect-numbers/
Quote:
 Originally Posted by usergood I found a huge perfect number
How?

Last fiddled with by kriesel on 2022-06-21 at 18:17

2022-06-21, 23:29   #5
paulunderwood

Sep 2002
Database er0rr

22×1,063 Posts

Quote:
 Originally Posted by usergood 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

2022-06-22, 03:45   #6
sweety439

"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36

357810 Posts

Quote:
 Originally Posted by usergood 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.

 2022-06-22, 16:28 #7 mathwiz   Mar 2019 1001001102 Posts 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.
 2022-06-22, 16:30 #8 Stargate38     "Daniel Jackson" May 2011 14285714285714285714 10110001002 Posts At the moment, the largest known perfect number (unless yours is bigger) is 2^165179865-2^82589932=2^82589932*M82589933.
2022-06-22, 16:39   #9
kriesel

"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest

23×72×17 Posts

Quote:
 Originally Posted by mathwiz So... We're all waiting with bated breath to hear about this new perfect number.
...crickets...
OP may simply be a troll.

2022-06-22, 17:20   #10
Uncwilly
6809 > 6502

"""""""""""""""""""
Aug 2003
101×103 Posts

2·13·409 Posts

Quote:
 Originally Posted by kriesel 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.

 2022-06-22, 17:41 #11 retina Undefined     "The unspeakable one" Jun 2006 My evil lair 655910 Posts 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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