Start with the empty list; for k = 1..oo, append to the list the smallest prime of the form k*m^3+m+1 with m>0 if such a prime exists, otherwise skip this value of k.

A114365

Start with the empty list; for k = 1..oo, append to the list the smallest prime of the form k*m^3+m+1 with m>0 if such a prime exists, otherwise skip this value of k.