Equation : x^2 ± k*y^2 are square numbers, k= 47, 53, 61, 79 and 101

 
       PELL x^2 + 101 y^2 A1

Here are the first two sets of solutions:
 
PELL x^2 + 101 y^2 A2

 
 
Find solutions   for k = 47, 53, 61, and 79

Hint:

for   k = 47, 53, 61,   each requires a 15-digit number as the smallest value of x.
for   k = 79,   it requires a 17-digit number.

PELL x^2 + 101 y^2 A3

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

2 Responses to Equation : x^2 ± k*y^2 are square numbers, k= 47, 53, 61, 79 and 101

  1. Pingback: Equation : x^2 ± k*y^2 are square numbers — Part 3 | Fun With Num3ers

  2. Pingback: Equation : x^2 ± k*y^2 are square numbers | Fun With Num3ers

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