Re: A prime number problem
- From: Phil Carmody <thefatphil_demunged@xxxxxxxxxxx>
- Date: 31 Jan 2012 22:11:17 +0200
Risto Kauppila <risto.kauppila0@xxxxxxxxxxxxxxxxxxxxxxxxxxxx> writes:
Let A = {2,3,13,23,37}
If (a_1,a_2,a_3,a_4,a_5)
is any permutation of A,
sums
a_1 + a_2*a_3*a_4*a_5
...
a_1*a_2*a_3*a_4 + a_5
are all primes.
Can you find a set of six
or more primes satisfying
the same property.
A trickier one is to find sets s.t. for any subset, the product
of the subset plus the product of its complement is prime.
Phil
--
Unix is simple. It just takes a genius to understand its simplicity
-- Dennis Ritchie (1941-2011), Unix Co-Creator
.
- References:
- A prime number problem
- From: Risto Kauppila
- A prime number problem
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