A341082 Incrementally largest values of minimal y satisfying the equation x^2-D*y^2=5, where D is a prime number.
2, 58, 1922, 35078, 76016042, 1161958198, 233025369988282, 5732081667022982, 6162672978871449862, 4778628197827994122556402, 3995105338251652225860073210642, 9319999956851141533879334192705803394284705042
Offset: 1
Keywords
Examples
For D=19, the least positive y for which x^2-D*y^2=5 has a solution is 2. The next prime, D, for which x^2-D*y^2=5 has a solution is 29, but the smallest positive y in this case is 2, which is equal to the previous record y. So, 29 is not a term. The next prime, D, after 19 for which x^2-D*y^2=5 has a solution is 61 and the least positive y for which it has a solution is y=58, which is larger than 2, so it is a new record y value. So 61 is a term of A341081 and 58 is a term of this sequence.
Links
- Christine Patterson, COCALC (Sage) Program