We only check |y^2-P|=2,If there is no solution,the Q has no who

your Q ,|Y^2-83|=2, y=9 is solution.So,you got it.P=61,89,97 Q no whole number solution.

P=79,|Y^2-79|=2,y=9,x=80 is solution...

If P=9m^2+2 or P=9m^2-2 is prime number,The Q has whole number solution,(9m^2+1,3m) or (9m^2-1,3m).Other cases, no solutions. 

 

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• (n^2+1)^2-(n^2+2)*n^2=1,(n^2-1)^2-(n^2-2)*n^2=1.If for any coeff -jinjing- ♀ (229 bytes) () 01/26/2011 postreply 19:08:09

• 回复：(n^2+1)^2-(n^2+2)*n^2=1,(n^2-1)^2-(n^2-2)*n^2=1.If for any co -calligraphy- ♂ (511 bytes) () 01/26/2011 postreply 20:47:19

• Your Ex,5should be 5^2m,3 ...3^2n...,We get |9781-Z^2|=1, -jinjing- ♀ (344 bytes) () 01/27/2011 postreply 09:35:02

• 回复：Your Ex,5should be 5^2m,3 ...3^2n...,We get |9781-Z^2|=1, -calligraphy- ♂ (425 bytes) () 01/27/2011 postreply 11:26:44

• 回复：回复：Your Ex,5should be 5^2m,3 ...3^2n...,We get |9781-Z^2|=1, -jinjing- ♀ (438 bytes) () 01/27/2011 postreply 17:19:24

• 回复：We only check |y^2-P|=2,If there is no solution,the Q has no -calligraphy- ♂ (162 bytes) () 01/27/2011 postreply 07:03:34

• 回复：We only check |y^2-P|=2,If there is no solution,the Q has no -calligraphy- ♂ (3010 bytes) () 01/27/2011 postreply 07:11:39

• 回复：We only check |y^2-P|=2,If there is no solution,the Q has no -calligraphy- ♂ (380 bytes) () 01/27/2011 postreply 07:48:25

• 回复：We only check |y^2-P|=2,If there is no solution,the Q has no -calligraphy- ♂ (201 bytes) () 01/27/2011 postreply 08:21:54