Tables on fifth power residuacity |
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Authors: | Edgar Karst |
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Institution: | (1) University of Arizona, Tucson, Arizona |
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Abstract: | In this paper 2
p
1 (modq),q=10p+1,p 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
2–x
2–4xy, withw, x, y, z odd, forp<105. For 105<p<106, allp such that 2
p
1 (mod 10p + 1),p 3 (mod 4),p and 10p + 1 prime, are listed. |
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Keywords: | |
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