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 Oct 20 comment Solutions of $a^2 = b^d -3^c$ ! without taking d= some fixed number, can we get a, b, c and d values in terms of single variable, which I have shown in the post. I need in single variable with proof. I am not looking cases. Oct 20 comment Solutions of $a^2 = b^d -3^c$ @GerryMyerson!this is somewhat good. Oct 20 comment Solutions of $a^2 = b^d -3^c$ Gerry Myerson! In my post I showed a, b, c and d values in terms of t by fixing d = 3. You have told that, in terms of r by fixing d = 2. Now, tell me if d = odd prime greater than or equal to 5, what type of solutions we can expect? Oct 20 comment Solutions of $a^2 = b^d -3^c$ @GerryMyerson!you are really helping me always. But, I would like to learn the way to find solutions. Otherwise, my life long duty to upload only questions. please try to understand me and tell me, how to solve such equations mathematically. Oct 20 asked Solutions of $a^2 = b^d -3^c$ Oct 13 comment Pell equation of the special form D Aurizio! Sir, I got solutions for $y^3$= $x^2$ + 1. Those are (x, y) = (-5, 2.96),(-4, 2.57), (-3, 2.15), (-2, 1.71), (-1, 1.26), (0,1), (1, 1.26), (2, 1.71), (3, 2.15), (4, 2.57), (5, 2.96) and so on. If we want this kind of solutions, what are the ways to find such solutions? please explain. because of your motivation, I found these and still I am learning more and more. Oct 12 comment Pell equation of the special form D Aurizio! Thank you so much for your help. This is more work for me. Let me think your materiel once again properly. I will contact you soon after reading your instructions once again. I am very very tankful to you for providing the lot of suggestions and work. Oct 12 comment Pell type equation cum elliptic curve equation @GerryMyerson! I am really worked on your method and suggestions. I am still failed to see the solutions at $y^3$-3$x^2$ = $p^m$ case. I am sure I can do for n = 4 as well as other numbers. Before that, I am eagerly looking for n = 3 case. I am so sorry, If I am wrong. But, I want to learn. I don't want to leave this problem. Oct 12 comment Pell equation of the special form D aurizio! how you reduce to 107 = 3$u^4$-$v^2$, when m = 3? Also, give some hints to solve the case for m = 3. Please... Oct 11 asked Pell type equation cum elliptic curve equation Oct 11 comment Pell equation of the special form D Aurizio! could you explain the solutions of the equation $y^3$ -3$x^2$ = $p^m$. I know this is elliptic curve. I had some knowledge of elliptic curve. But, I was totally upset to determine the solutions of this kind equation. Please explain. Oct 11 awarded Commentator Oct 11 comment Pell equation of the special form D Aurizio! the way of explanation is too good. Thank you so much. If we take in the pace of n = 3. we see an elliptic curve. What kind of solutions there for such equation does not matter. How to find solutions in the case on n = 3. plz explain. So that, I will try for n= 5 and so on. Once again thank you so much for your help. Oct 11 comment Pell equation of the special form @PantelisDamianou! How you got those values? I checked manually and all of them are correct. Is there any way to find such solutions. Plz explain. Oct 11 awarded Scholar Oct 11 accepted Pell equation of the special form Oct 10 asked Pell equation of the special form Oct 5 awarded Student Oct 2 comment integer solutions to $a^m+nx^2 = y^n$ with various conditions @GerryMyerson! Thank you so much for giving such a great help. I will work on this. Thank you..... Oct 1 comment integer solutions to $a^m+nx^2 = y^n$ with various conditions @GerryMyerson! you only can help me in this aspect. Please solve...