The Journal of the Indian Mathematical Society

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As a Ninth Power (Mod p)


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1 Carleton University, Ottawa, Ontario, Canada
     

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Let p be a prime ≠ 2,3. We consider the problem of giving a necessary and sufficient condition for 2 to be a ninth power (mod p), analogous to those known for 2 to be a k th power (mod p) for k = 3 [3], k = 5 [4], k = 7 [5] and k = 11 [6].
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  • As a Ninth Power (Mod p)

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Authors

Kenneth S. Williams
Carleton University, Ottawa, Ontario, Canada

Abstract


Let p be a prime ≠ 2,3. We consider the problem of giving a necessary and sufficient condition for 2 to be a ninth power (mod p), analogous to those known for 2 to be a k th power (mod p) for k = 3 [3], k = 5 [4], k = 7 [5] and k = 11 [6].