A000396 and related

Jud McCranie jud.mccranie at mindspring.com
Sat Jun 3 16:54:46 CEST 2000


At 05:33 PM 6/3/00 +0300, Antreas P. Hatzipolakis wrote:
Formula:   The numbers 2^(p-1)(2^p - 1) are perfect, where p is a prime such
>            that 2^p- 1 is also prime (see A000043, the Mersenne primes), and
>            it is believed that there are no other perfect numbers.
>                                ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
>                                there are no ODD perfect numbers.

As far as I know, is hasn't been proven that there are no odd perfect numbers.


+--------------------------------------------------------+
|                  Jud McCranie                          |
|                                                        |
| 137*2^261147+1 is prime!  (78,616 digits, 5/2/00)      |
+--------------------------------------------------------+






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