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- Title
On Generalizing a Corollary of Fermat's Little Theorem.
- Authors
Effinger, Gove
- Abstract
I For every prime number i I p i I and integer i I a i , HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msup><mi>a</mi><mi>p</mi></msup><mo> </mo><mi>a</mi><mspace width="0.166667em" /><mrow><mo stretchy="false">(</mo><mi mathvariant="normal">mod</mi><mspace width="0.166667em" /><mi>p</mi><mo stretchy="false">)</mo></mrow></mrow></math> ht . I Suppose i I n i I is greater than i 1 I and has as its prime factorization i HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msubsup><mi>p</mi><mn>1</mn><msub><mi>k</mi><mn>1</mn></msub></msubsup><mo>---</mo><msubsup><mi>p</mi><mi>r</mi><msub><mi>k</mi><mi>r</mi></msub></msubsup></mrow></math> ht . I if and only if i HT <math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>n</mi><mi>a</mi></msub></math> ht I divides i I a i . (If HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi>m</mi><mi>a</mi></msub><mo>=</mo><mi>n</mi></mrow></math> ht , then HT <math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><msub><mi>n</mi><mi>a</mi></msub><mo>=</mo><mn>1</mn></mrow></math> ht , and our desired conclusion holds.).
- Subjects
EULER theorem; PRIME numbers
- Publication
Mathematical Intelligencer, 2019, Vol 41, Issue 4, p10
- ISSN
0343-6993
- Publication type
Article
- DOI
10.1007/s00283-019-09922-7