ナルシシスト数について

• 岡本, 茂

• OKAMOTO, Shigeru

書誌事項

タイトル別名

• On the Narcissistic Number

抄録

This paper is devoted to generalization of narcissistic number. Let n be a natural number and n = ΣlO^iq_i be the decimal representation, and p>1 be a natural number. Then, n is called a generalized narcissistic number for p if Σq^p_i = n, and p is called as index of narcissistic number. We prove the following theorems : Theorem 1. Narcissistic numbers with index 3 are 1,153,370,371 and 407. Theorem 2. Number of generalized narcissistic numbers with index p are finite. In the proof of Theorem 2,we have the following inequality : (n-log (n+1))/log 9 <n , which concerns an upper bound of index p.

収録刊行物

• 千葉敬愛短期大学紀要

  千葉敬愛短期大学紀要 (21), 53-58, 1999-02-26

  敬愛大学・千葉敬愛短期大学

詳細情報

• CRID: 1050001338841817600
• NII論文ID: 110004723413
• NII書誌ID: AN00364106
• Web Site: https://keiai.repo.nii.ac.jp/records/1267
• 本文言語コード: ja
• 資料種別: departmental bulletin paper
• データソース種別:
  • IRDB
  • CiNii Articles