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In mathematics, a Smarandache–Wellin number is an integer that in a given base is the concatenation of the first ''n'' prime numbers written in that base. Smarandache–Wellin numbers are named after Florentin Smarandache and Paul R. Wellin. The first decimal Smarandache–Wellin numbers are: :2, 23, 235, 2357, 235711, 23571113, 2357111317, 235711131719, 23571113171923, 2357111317192329, ... . == Smarandache–Wellin primes == A Smarandache–Wellin number that is also prime is called a Smarandache–Wellin prime. The first three are 2, 23 and 2357 . The fourth has 355 digits and ends with the digits 719.〔 〕 The primes at the end of the concatenation in the Smarandache–Wellin primes are :2, 3, 7, 719, 1033, 2297, 3037, 11927?, ... . The indices of the Smarandache–Wellin primes in the sequence of Smarandache–Wellin numbers are: :1, 2, 4, 128, 174, 342, 435, 1429?, ... . The 1429th Smarandache–Wellin number is a probable prime with 5719 digits ending in 11927, discovered by Eric W. Weisstein in 1998.〔Rivera, Carlos, (Primes by Listing )〕 If it is proven prime, it will be the eighth Smarandache–Wellin prime. In March 2009 Weisstein's search showed the index of the next Smarandache–Wellin prime (if one exists) is at least 22077.〔 Retrieved 2011-07-28.〕 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Smarandache–Wellin number」の詳細全文を読む スポンサード リンク
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