MHB Solving for $(p,q,r)$ When $3p^4-5q^4-4r^2=26$

  • Thread starter Thread starter Albert1
  • Start date Start date
Albert1
Messages
1,221
Reaction score
0
$p,q,r$ are all primes ,and $3p^4-5q^4-4r^2=26$

find $(p,q,r)=?$
 
Mathematics news on Phys.org
Albert said:
$p,q,r$ are all primes ,and $3p^4-5q^4-4r^2=26---(1)$

find $(p,q,r)=?$
hint:
(1) mod 3 we have : $q^4-r^2\equiv -1 \,\,(mod \,\, 3)$
 

Thread 'Non-orthogonal bases'

Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
View full post »

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Similar threads

MHB Solving $3p^4-5q^4-4r^2=26$ for $p,q,r$
Replies
3
Views
2K
The only prime p for which 3p+1 is a perfect square is p=5?
Replies
15
Views
4K
MHB Show that p³q + q³r + r³p is a constant
Replies
2
Views
2K
MHB Solving Simultaneous Equations: x⁴-y²-xy=4-√15, x³+y³-3x=5√5
Replies
2
Views
2K
MHB Find P(Q') B) P(Q union R) C) P(R')
Replies
2
Views
2K
MHB Proving $x-1$ is a Factor of $P(x)$ with Polynomials
Replies
1
Views
1K
MHB Real Roots of Composite Polynomials: Solving P(Q(x))=0
Replies
1
Views
1K
MHB Solve Quadratic Equation: Find c-a Given p and q
Replies
4
Views
1K
MHB Triangle Challenge: Prove $p^4+q^4+r^4-2p^2q^2-2q^2r^2-2r^2p^2<0$
Replies
2
Views
1K
MHB Real Number Pairs $(p,\,q)$ Satisfying Inequality
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top