SOLUTION: Integers that can be expressed as the sum of three squares in three different ways?
Algebra.Com
Question 1135584: Integers that can be expressed as the sum of three squares in three different ways?
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!
the sum of squares procedure finds all,, such that
It works by repeatedly invoking sum of squares on where is incremented after each iteration from to square root of
Do you want *exactly* ways, or *at least* ways?
Assuming order isn't considered, and assuming you want it in ways, here are a few numbers:
, , ,, , ,, , , , , ,, , , , ,, , , , , , , , , , , , ...
Example:
RELATED QUESTIONS
Three numbers between 100 and 150 can each be expressed as the sum of two different... (answered by ikleyn)
Five integers between 440 and 500 can each be expressed as the sum of two
different... (answered by jim_thompson5910,Edwin McCravy)
find the smallest natural number that can be expressed as the sum of the squares of two,... (answered by tommyt3rd)
Show that any integer N = 7 modulo 8 cannot be expressed as the sum of the squares of... (answered by Sphinx pinastri)
Show that any positive integer N = 7 modulo 8 can never be expressed as the sum of the... (answered by Sphinx pinastri)
can you help me solve this question (how many different integers can be expressed as the... (answered by solver91311)
Four numbers between 240 and 300 can each be expressed as the sum of two different... (answered by Fombitz)
Two numbers between 150 and 200 can each be expressed as the sum of two squares in two... (answered by ikleyn)
Two numbers between 150 and 200 can each be expressed as the sum of two squares in two... (answered by ikleyn,math_tutor2020)