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Tables on fifth power residuacity
Authors:Edgar Karst
Institution:(1) University of Arizona, Tucson, Arizona
Abstract:In this paper 2 p equiv 1 (modq),q=10p+1,p equiv 3 (mod 4),p andq prime, is expressed uniquely (except for changes in sign and interchange ofx, y) in the formq=w 2+25 (x 2+y 2)/2+125z 2, 4wz=y 2x 2–4xy, withw, x, y, z odd, forp<105. For 105<p<106, allp such that 2 p equiv 1 (mod 10p + 1),p equiv 3 (mod 4),p and 10p + 1 prime, are listed.
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