Question

Fibonacci numbers expressed as squares of lower Fibonacci numbers

score 373 · Answer 1 · 2014-01-25 22:45:21

373

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Fibonacci numbers expressed as squares of lower Fibonacci numbers

Published on 25 Jan 2014 - 22:45

score 157 · Answer 2 · 2014-01-26 13:23:41

157

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If $3\mid a,b,c$ and $n=a^2+b^2+c^2$, prove that there exist $x,y,z$ such that $n=x^2+y^2+z^2$, where $3\nmid x,y,z$.

Published on 26 Jan 2014 - 13:23

score 3.5k · Answer 3 · 2014-01-30 13:29:24

3.5k

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$2017$ as the sum of two squares

Published on 30 Jan 2014 - 13:29

score 659 · Answer 4 · 2014-03-10 18:12:27

659

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Problem Solving Question? Sum of the squares

Published on 10 Mar 2014 - 18:12

score 66 · Answer 5 · 2017-04-10 07:41:53

66

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Is the difference between consecutive sums of N consecutive squares trivial or already a theorem?

Published on 10 Apr 2017 - 7:41

score 1.4k · Answer 6 · 2017-04-15 23:54:35

1.4k

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Sum of two squares and prime factorizations

Published on 15 Apr 2017 - 23:54

score 63 · Answer 7 · 2017-04-16 16:03:24

63

Views

For $a,b \in \sum_2$, prove $ab \in \sum_2$

Published on 16 Apr 2017 - 16:03

score 343 · Answer 8 · 2017-04-20 07:57:34

343

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Find all solutions the diophantine equation $x^2+y^2=z^2+w^2+1$

Published on 20 Apr 2017 - 7:57

score 481 · Answer 9 · 2017-04-21 21:00:00

481

Views

Sum of squares by treating it as a nonhomogenous recurrence

Published on 21 Apr 2017 - 21:00

score 76 · Answer 10 · 2017-04-27 07:06:22

76

Views

Problem on Natural numbers and perfect squares

Published on 27 Apr 2017 - 7:06

score 162 · Answer 11 · 2017-04-28 16:21:16

162

Views

Find the number of positive integer solutions to the equation $a^2+b^2 = p_1p_2p_3$

Published on 28 Apr 2017 - 16:21

score 799 · Answer 12 · 2017-05-01 03:43:08

799

Views

How do I prove that powers of 5 are the sum of two squares using mathematical induction

Published on 01 May 2017 - 3:43

score 31 · Answer 13 · 2017-05-07 06:17:57

31

Views

Show that there are infinitely many solutions $(t, d)$ to $c - d^2 = t^2$ where $2c-1 = 3t^2$.

Published on 07 May 2017 - 6:17

score 308 · Answer 14 · 2017-05-13 18:55:17

308

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Math Problem with the sum of squares in a big loop

Published on 13 May 2017 - 18:55

score 167 · Answer 15 · 2017-05-18 18:45:14

167

Views

Product of SOS polynomials in the Gram matrix form by odd degree monomials.

Published on 18 May 2017 - 18:45

List Question

Fibonacci numbers expressed as squares of lower Fibonacci numbers

If $3\mid a,b,c$ and $n=a^2+b^2+c^2$, prove that there exist $x,y,z$ such that $n=x^2+y^2+z^2$, where $3\nmid x,y,z$.

$2017$ as the sum of two squares

Problem Solving Question? Sum of the squares

Is the difference between consecutive sums of N consecutive squares trivial or already a theorem?

Sum of two squares and prime factorizations

For $a,b \in \sum_2$, prove $ab \in \sum_2$

Find all solutions the diophantine equation $x^2+y^2=z^2+w^2+1$

Sum of squares by treating it as a nonhomogenous recurrence

Problem on Natural numbers and perfect squares

Find the number of positive integer solutions to the equation $a^2+b^2 = p_1p_2p_3$

How do I prove that powers of 5 are the sum of two squares using mathematical induction

Show that there are infinitely many solutions $(t, d)$ to $c - d^2 = t^2$ where $2c-1 = 3t^2$.

Math Problem with the sum of squares in a big loop

Product of SOS polynomials in the Gram matrix form by odd degree monomials.

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