# A Number of Reasonable Length

A concatenation of numbers is where you *smush them together*. For example, if I were to smush 1 and 1 together, I would get 11. Now, if you were to smush primes together, in chronological order, like this:

2, 23, 235, 2357, 235711, and so on,

you would have what is known as a Smarandache-Wellin number. Here is a link to their entry on the Online Encyclopedia of Integer Sequences.

Most of these numbers end up being composite, with very, very, *very* few primes. Sadly, OEIS states that the fourth prime is to large to list. To rectify this issue, I have taken it upon myself to do the noble act of posting the first four Smarandache-Wellin primes on this here page. Now we can finally appreciate them together in all their glory!

The first four decimal Smarandache-Wellin primes are 2, 23, 2357, and 2357111317192329313741434753596167717379838997101103107109113127131137139149151157163167173179181191193197199211223227229233239241251257263269271277281283293307311313317331337347349353359367373379383389397401409419421431433439443449457461463467479487491499503509521523541547557563569571577587593599601607613617619631641643647653659661673677683691701709719.