December 12, 2013Open Access

ON THE DIOPHANTINE EQUATION 47ˣ + 49ʸ = z²

Key Points

Key points are not available for this paper at this time.

Abstract

In this paper, we prove that the Diophantine equation 47 x + 49 y = z 2 has no non-negative integer solution where x, y and z are non-negative integers.

Bookmark

View Full Paper

Cite This Study

Banyat Sroysang (Thu,) studied this question.

synapsesocial.com/papers/6a0ec55553f874f2b222bfdc https://doi.org/https://doi.org/10.12732/ijpam.v89i2.11

Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

1MORE ON THE DIOPHANTINE EQUATION $2^x + 19^y = z^2$2013 · 16 citations
2ON THE DIOPHANTINE EQUATION $5^x + 43^y = z^2$2014 · 4 citations
3ON TWO DIOPHANTINE EQUATIONS $7^x + 19^y = z^2$ and $7^x + 91^y = z^2$2014 · 16 citations
4ON THE DIOPHANTINE EQUATION $5^x + 23^y = z^2$2013 · 51 citations
5ON THE DIOPHANTINE EQUATION $89^x + 91^y = z^2$2013 · 5 citations

Bookmark

View Full Paper