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 SmarandacheâWellin numbers are:
A SmarandacheâWellin number that is also prime is called a SmarandacheâWellin prime. The first three are 2, 23 and 2357 (sequence A069151 in the OEIS). The fourth is 355 digits long: it is the result of concatenating the first 128 prime numbers, through 719. [1]
The primes at the end of the concatenation in the SmarandacheâWellin primes are
The indices of the SmarandacheâWellin primes in the sequence of SmarandacheâWellin numbers are:
The 1429th SmarandacheâWellin number is a probable prime with 5719 digits ending in 11927, discovered by Eric W. Weisstein in 1998. [2] If it is proven prime, it will be the eighth SmarandacheâWellin prime. In March 2009, Weisstein's search showed the index of the next SmarandacheâWellin prime (if one exists) is at least 22077. [3]
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 SmarandacheâWellin numbers are:
A SmarandacheâWellin number that is also prime is called a SmarandacheâWellin prime. The first three are 2, 23 and 2357 (sequence A069151 in the OEIS). The fourth is 355 digits long: it is the result of concatenating the first 128 prime numbers, through 719. [1]
The primes at the end of the concatenation in the SmarandacheâWellin primes are
The indices of the SmarandacheâWellin primes in the sequence of SmarandacheâWellin numbers are:
The 1429th SmarandacheâWellin number is a probable prime with 5719 digits ending in 11927, discovered by Eric W. Weisstein in 1998. [2] If it is proven prime, it will be the eighth SmarandacheâWellin prime. In March 2009, Weisstein's search showed the index of the next SmarandacheâWellin prime (if one exists) is at least 22077. [3]