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A Pascal-Type Triangle Characterizing Twin Primes

✍ Scribed by Karl Dilcher and Kenneth B. Stolarsky

Book ID
121452276
Publisher
Mathematical Association of America
Year
2005
Tongue
English
Weight
931 KB
Volume
112
Category
Article
ISSN
0002-9890

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πŸ“œ SIMILAR VOLUMES

On Pascal triangles modulo a prime power
On Pascal triangles modulo a prime power
✍ Alexis BΓ©s πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 975 KB

In the first part of the paper we study arithmetical properties of Pascal triangles module a prime power; the main result is the generalization of Lucas' theorem. Then we investigate the structure (N; B,.), where p is a prime, a is an integer greater than one, and B,.(x, ~1) = Rem((":'), p"); it is