On the Diophantine Equation x+q=y |
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| Authors: | S.A. ArifFadwa S. Abu Muriefah |
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| Affiliation: | Mathematics Department, Girls College of Education, 60561, Riyadh, 11555, Saudi Arabiaf1sarif5@hotmail.com,abumuriefah@yahoo.comf1 |
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| Abstract: | In this paper it has been proved that if q is an odd prime, q?7 (mod 8), n is an odd integer ?5, n is not a multiple of 3 and (h,n)=1, where h is the class number of the filed Q(√−q), then the diophantine equation x2+q2k+1=yn has exactly two families of solutions (q,n,k,x,y). |
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| Keywords: | diophantine equations Lucas sequence primitive divisors. |
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