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A Relation Between Triangular Numbers and Prime Numbers
-
and
Published/Copyright:
January 24, 2012
Abstract.
We study a relation between factorials and their additive
analog, the triangular numbers. We show that there is a positive
integer
Received: 2011-03-26
Revised: 2011-05-30
Accepted: 2011-08-04
Published Online: 2012-01-24
Published in Print: 2012-February
© 2012 by Walter de Gruyter Berlin Boston
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Articles in the same Issue
- Prelims
- Selmer's Multiplicative Algorithm
- Lucas Numbers and Determinants
- A Combinatorial Proof of Guo's Multi-Generalization of Munarini's Identity
- Enumeration of Triangles in Quartic Residue Graphs
- A remark on the Boros–Moll Sequence
- A Relation Between Triangular Numbers and Prime Numbers
- Some Remarks on a Paper of V. A. Liskovets
- A Combinatorial Proof of a Recursive Formula for Multipartitions
- Aliquot Cycles of Repdigits
- Digital Sums and Functional Equations
Keywords for this article
Triangular Numbers;
Prime Numbers;
Factorial;
Large Primes;
Wilson's Theorem
Articles in the same Issue
- Prelims
- Selmer's Multiplicative Algorithm
- Lucas Numbers and Determinants
- A Combinatorial Proof of Guo's Multi-Generalization of Munarini's Identity
- Enumeration of Triangles in Quartic Residue Graphs
- A remark on the Boros–Moll Sequence
- A Relation Between Triangular Numbers and Prime Numbers
- Some Remarks on a Paper of V. A. Liskovets
- A Combinatorial Proof of a Recursive Formula for Multipartitions
- Aliquot Cycles of Repdigits
- Digital Sums and Functional Equations
