Abstract
AbstractIn [15], Shiu proved that ifaandqare arbitrary coprime integers, then there exist arbitrarily long strings of consecutive primes which are all congruent toamoduloq. We generalize Shiu's theorem to imaginary quadratic fields, where we prove the existence of “bubbles” containing arbitrarily many primes which are all, up to units, congruent toamoduloq.
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