Smarandache-Wellin prime

In mathematics, Smarandache-Wellin numbers are special integers; the n-th Smarandache-Wellin number is defined as the concatenation of the first n prime numbers written in decimal notation. A generalization to other number systems is possible. A Smarandache-Wellin number that is also prime is called a Smarandache-Wellin prime.

The first Smarandache-Wellin numbers are 2, 23, 235, 2357, 235711, ... (sequence in OEIS); the first few indices n of Smarandache-Wellin numbers that are prime are 1, 2, 4, 128, 174, 342, ... (sequence in OEIS).