|
2022-06-21, 16:53
|
#1 |
|
Jun 2022
12 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 |
|
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
5×2,129 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 | |
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
33·367 Posts |
Quote:
...as long as it is not a dud. Surprise us! |
|
|
|
|
|
2022-06-21, 18:03
|
#4 | |
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
22×1,669 Posts |
Especially if it's odd. https://blogs.scientificamerican.com...rfect-numbers/
Quote:
Last fiddled with by kriesel on 2022-06-21 at 18:17 |
|
|
|
|
|
2022-06-21, 23:29
|
#5 | |
Sep 2002
Database er0rr
102348 Posts |
Quote:
 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 | |
|
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
1101111110012 Posts |
Quote:
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 |
|
Mar 2019
12716 Posts |
Yes. So, to recap:
So... We're all waiting with bated breath to hear about this new perfect number. 
|
|
|
|
|
2022-06-22, 16:30
|
#8 |
"Daniel Jackson"
May 2011
14285714285714285714
719 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 | |
|
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
22×1,669 Posts |
Quote:
OP may simply be a troll. |
|
|
|
|
|
2022-06-22, 17:20
|
#10 | |
|
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
246258 Posts |
Quote:
|
|
|
|
|
|
2022-06-22, 17:41
|
#11 |
|
Undefined
"The unspeakable one"
Jun 2006
My evil lair
6,563 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. |
|
|
|
 |
| Thread Tools | |
Similar Threads
|
||||
| Thread | Thread Starter | Forum | Replies | Last Post |
| Largest k*2^n-1 Primes Found In 2018 | Thomas11 | Riesel Prime Search | 3 | 2019-01-07 15:10 |
| Largest k*2^n-1 Primes Found In 2017 | pinhodecarlos | Riesel Prime Search | 9 | 2018-12-26 02:50 |
| Largest k*2^n-1 Primes Found In 2016 | pinhodecarlos | Riesel Prime Search | 1 | 2017-01-01 03:24 |
| New largest prime number found | Prime95 | Miscellaneous Math | 20 | 2008-07-29 16:58 |
| Largest prime found yet by 15k search | TTn | 15k Search | 1 | 2004-05-11 03:04 |
