[Imc-makerspace] [CliffordPickover] Prime reciprocal magic square - Wikipedia, the free encyclopedia

[Stewart Dickson]

I have been contributing to this Wikipedia article:
http://en.wikipedia.org/wiki/Prime_reciprocal_magic_square 
<http://en.wikipedia.org/wiki/Prime_reciprocal_magic_square>
Attached are my results testing for prime reciprocal magic squares up to 
199.

Only the first 18 multiples of 1/19  will form a magic square  in which 
the diagonals also add up to 81.
1/2=0.5 -- forms a 1x1 (degenerate) magic square
1/7, 1/11, 1/13, 1/17, 1/23, 1/29, (skipping to) 1/47, 1/59, 1/61 form 
magic squares, but the diagonals
do not add to the same numbers at the rows and columns.

Got Linux?

http://wiki.answers.com/Q/What_are_the_prime_numbers_from_1-200
> 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 
> 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 
> 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199.
http://en.wikipedia.org/wiki/Bc_programming_language
http://linux.about.com/od/commands/l/blcmdl1_bc.htm

In bc:
scale=28;
1.0/29.0
.0344827586206896551724137931
scale=58;
1.0/59.0
.0169491525423728813559322033898305084745762711864406779661
scale=198;
1.0/199.0
.0050251256281407035175879396984924623115577889447236180904522613065\
32663316582914572864321608040201005025125628140703517587939698492462\
311557788944723618090452261306532663316582914572864321608040201
...

http://secamlocal.ex.ac.uk/people/staff/mrwatkin
Matthew R. Watkins' home page
 Carl Pomerance (Erdös number = 1) has suggested that he [Erdös] might 
(referring to Einstein's famous proclamation) have said something like 
this:

"God may not play dice with the Universe, but there's something strange 
going on with the prime numbers!"
(This quote has been misattributed to Erdös himself for many years now.)

http://savantartist.com    George Widener lived for years on the streets 
in Asheville, NC.   He would draw pen-and-ink landscapes
from memory on restaurant napkins that look like Leonardo da Vinci 
drawings.   He was obsessed with magic squares and would generate
calendrical magic squares in which the dates had special significance 
for specific people.   Eventually, George acquired a fan club who
established a nonprofit foundation for his benefit.

Cheers,

-Stewart

To: CliffordPickover at yahoogroups.com
Ottho wrote:
>  
> ...
>  
> I've been looking for a source that shows the digits of the 
> reciprocals for each prime number at least up to a certain point (e.g. 
> under 200) but have not been able to find this.
> I can' get it in Excel since that does not give digits beyond the 15th 
> or so.
>  
> ...


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