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News Archive: August 2000

De Geest & Nash contributions
Patrick De Geest and Chris Nash sent contributions to Puzzles 104 & 105 respectively
Posted on Thursday, August 31, 2000

Chris Nash and the Puzzle 105
Chris Nash has produced (30/8/2000) some interesting results and has outlined a method to do this search. Inside the method a questions arises for the readers... Puzzle 105

Posted on Wednesday, August 30, 2000

Laurent de Jerphanion contributions to Puzzle 50
Laurent de Jerphanion from Paris, France, sent new and nice solutions to Puzzle 50
Posted on Saturday, August 26, 2000

Chris Nash contributions to Puzzle 104
More and interesting contributions to Puzzle 104 from Chris Nash...
Posted on Wednesday, August 23, 2000

De Geest & Chilali contributions to Puzzle 104
More contributions to Puzzle 104 by Patrick De Geest and also by Mahmoud Chilali. Chilali has provided the theoretical background to the Patrick's observations and also to an algorithm to get the solutions to the sum of squares case. BTW, we say Welcome! to Chiliali to our The Puzzlers Page
Posted on Tuesday, August 22, 2000

Patrick De Geest's results for Puzzle 104
For sure you will enjoy the Patrick De Geest's interesting results and observations to the Puzzle 104
Posted on Sunday, August 20, 2000

Said el aidi comments Chilali's question tied to Puzzle 102
Said el aidi comments Chilali's question tied to Puzzle 102
Posted on Friday, August 18, 2000

Jean-Charles Meyrignac found in the web solutions
Jean-Charles Meyrignac found in the web 516 published solutions, by D.J.Bernstein, to the equation a^4+b^4=c^4+d^4. Only two of them are prime solutions as asked in the Puzzle 103. Of these two only one of them is new for us.
Posted on Tuesday, August 15, 2000

Said el aidi solves Fortune's Conjecture!
Said el aidi solves the Fortune's Conjecture, using a previous result from Rosser & Schoenfeld. See our Problem 004 This is the second time that Said hits to classical conjectures.
Posted on Friday, August 11, 2000

Mahmoud Chilali ties question to Puzzle 102
Mahmoud Chilali ties question to Puzzle 102
Posted on Friday, August 11, 2000

Patrick De Geest & Puzzle 100
Patrick has obtained the least digital twin quadruplet asked in this Puzzle 100
Posted on Friday, August 11, 2000

More solutions to Puzzle 102 by Chris Nash
Chris Nash has given (7/8/2000) a qualitative jump in this search discovering a way of seeking candidates to cubes expressible as sum of 3 squares: D must be 3 modulo 8; then he shows a methodic way of looking for D^3-9 as a sum of squares. As a consequence of his method he could find plenty of new solutions and a very interesting example of D: "In particular, 90659^3 is the sum of three prime squares in FIVE different ways!.
Posted on Tuesday, August 8, 2000

Jud McCranie solves Puzzle 102
Jud McCranie found (4-5/8/2000) the explanation for the question 2 and other solutions to question 1, including another cube with double expression. See Puzzle 102
Posted on Sunday, August 6, 2000

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