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About list of discriminants of real quadratic fields with narrow class number 1?

I have a couple of questions regarding the list of discriminants of real quadratic fields with narrow class number 1.

The sequence A003655 in OEIS portraits a list of discriminants of real quadratic fields with narrow class number 1. In the sequence there is no indication that the list is complete. Q1: Is that the case? Q2: In any case, could you point to some relevant references about this list?

Thanks in advance, and regards, Guillermo