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%I #29 Feb 27 2021 21:49:13
%S 2,31,103,127,151,199,271,463,631,751,919,991,1471,1759,1831,1999,
%T 2311,2671,3319,4111,4519,4951,5119,6679,8191,8719,10399,11839,12919,
%U 13399,15031,16879,19231,21319,23599,26959,30319,32839,34519,37591,38119,43759,48799,53551,58111,62791
%N Values of prime numbers, D, for incrementally largest values of minimal y satisfying the equation x^2 - D*y^2 = 2.
%e For D = 2, the least y for which x^2 - D*y^2 = 2 has a solution is 1.
%e The next primes, D, for which x^2 - D*y^2 = 2 has a solution are 7 and 23, but the smallest y in each of these cases is also 1, which is equal to the previous record y. So neither 7 nor 23 is a term.
%e The next prime, D, after 23 for which x^2 - D*y^2 = 2 has a solution is 31 and the least y for which it has a solution there is y = 7, which is larger than 1, so it is a new record y value. So 31 is a term here, and 7 is the corresponding term of A336789.
%Y Cf. A033316 (analogous for x^2 - D*y^2 = 1), A336786 (similar sequence for x's), A336789.
%K nonn
%O 1,1
%A _Christine Patterson_, Aug 05 2020
%E a(1) corrected and Example section edited by _Jon E. Schoenfield_, Feb 24 2021
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