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[ April 1, 2002 ]
Magic Squares composed of only Palindromic Primes
by Jean Claude Rosa [email].

There exist Magic Squares composed of only
palindromic primes all with  9 digits .
Jean Claude Rosa confirms this.
No solutions with 3, 5 or 7 digits exist.

147343741125939521139626931Magic Square
129919921137636731145353541all numbers
palprimes
135646531149333941127929721by J. C. Rosa
April 1, 2002
The Magic Sum equals 3 * (middle cell)

"Voici le carré magique suivant"

162484261125474521145494541
127494721144484441161474161
143474341163494361126484621

In total JCR found exactly  11  Palprimes Magic Squares with 9 digits.
Among these squares there is one that's quite nice:

177565771131555131157878751
135979531155666551175353571
153454351179777971133767331

Two days earlier JCR found a Palprimes Magic Square with  11 digits .
"J'espère que ce carré magique te fera plaisir !"

124344434211007070700111522122511Magic Square
104301034011134242431112254745221all numbers
palprimes
111627261111261414162110250405201by J. C. Rosa
March 30, 2002
The Magic Sum equals 3 * (middle cell)

and which are all smaller than those found by Carlos Rivera
and Jaime Ayala (22/05/99) and that's on display at
Magic squares composed of only palprimes
"I'm really sorry for Carlos & Jaime."

Here is the next one !
Note that the middle cell determines the order.

116543456111102353201111388488311
110895980111135545531111621312611
113224223111168737861111056565011
[May 16, 2002 ]
"I (JCR) searched more Palprimes Magic Squares with 11 digits.
I got 89 solutions ( only for the central cell from
1*10^10 up to 2*10^10 ). A little nice collection...
Among these 89 squares I got, five times, two squares
with the same central cell and only once three squares
with the same central cell."

Here are those three squares :

182645462811442808244116670707661
148606068411645444546118048284081
162381832611848080848114644344641

177444447711426171624117357175371
160671760611645444546116841714861
155517155511864717468115164446151

177627267711405414504117546464571
162381832611645444546116670707661
153624263511885474588115146164151
"Allez un petit dernier, assez joli :"

197385837911550585055117935553971
159236329511772666277119529692591
175177715711994747499115714741751

JCR has also obtained the smallest Palprimes Magic Square,
each number in the square has  13 digits .

102643834620110000080000011013538353101Magic Square
100042824000110133282331011026228226201all numbers
palprimes
101311811310110266484662011000218120001by J. C. Rosa
March 30, 2002
The Magic Sum equals 3 * (middle cell)

Here are three follow ups !

101564646510110131070131011014822284101
101370107310110145252541011015349435101
101422822410110159434951011013404043101

102694649620110017020710011018824288101
100770207700110158242851011023946493201
101282428210110299464992011004702074001

103567676530110128515821011025438345201
101441714410110246555642011034893984301
102387278320110364595463011013634363101

And one more for the road !

124220702242110540282045011160116110611
107002620070111521171125111234208024321
114411811441112502060205211062027202601




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