A242906 a(n+1) is the smallest prime > a(n) such that the digits of a(n) are all (with multiplicity) contained in the digits of a(n+1), with a(1)=5.
5, 53, 353, 3253, 5233, 5323, 13523, 15233, 23531, 31253, 32531, 33521, 52313, 53231, 102533, 105323, 123503, 125303, 130253, 130523, 150323, 203351, 203531, 205133, 210533, 231053, 231503, 235013, 251033, 253013, 253103, 302513, 305231, 320153, 320513, 321053
Offset: 1