庫倫數是 形如 的數
前幾個庫倫數是 3, 9, 25, 65, 161, 385, ... (OEIS A002064)。
如果 
是 形如 
的 素數，則庫倫數可被 
整除。
前幾個 素數 庫倫數是 3, 393050634124102232869567034555427371542904833, ... (OEIS A050920)，對應於 
, 141, 4713, 5795, 6611, 18496, 32292, 32469, 59656, 90825, 262419, 361275, 481899, 1354828, 6328548, 6679881, ... (OEIS A005849; Caldwell)。截至 2015 年 11 月，已知對於 
(PrimeGrid) 沒有其他庫倫素數。
另請參閱
康寧漢數,
費馬數,
整數序列素數,
普羅斯數,
第一類謝爾賓斯基數,
伍德爾數,
伍德爾素數
使用 探索
參考文獻
Caldwell, C. K. "The Top Twenty: Cullen Primes." http://primes.utm.edu/top20/page.php?id=6#records.Guy, R. K. "Cullen Numbers." §B20 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 77, 1994.Keller, W. "New Cullen Primes." Math. Comput. 64, 1733-1741, 1995.Leyland, P. http://research.microsoft.com/~pleyland/factorization/cullen_woodall/cw.htm.PrimeGrid. "PrimeGrid's Cullen Prime Search." Jul. 25, 2009. http://www.primegrid.com/download/Cullen6679881.pdf.PrimeGrid. "Subprojects: Cullen Prime Search." http://www.primegrid.com/server_status_subprojects.php.PrimeGrid. "PrimeGrid Primes: Subproject: (CUL) Cullen Prime Search." http://www.primegrid.com/primes/primes.php?project=CUL.Ribenboim, P. The New Book of Prime Number Records. New York: Springer-Verlag, pp. 360-361, 1996.Rodenkirch, M. and Ballinger, R. "Cullen Primes: Definition and Status." http://www.prothsearch.net/cullen.html.Sloane, N. J. A. Sequences A002064/M2795, A005849/M5401, and A050920 in "The On-Line Encyclopedia of Integer Sequences."在 中被引用
庫倫數
引用為
Weisstein, Eric W. “庫倫數。” 來自 Web 資源。 https://mathworld.tw/CullenNumber.html
主題分類
