prog.sf

#!/usr/bin/ruby

# Least number k > primorial(n) such that omega(k) = n-1.
# https://oeis.org/A292427

# Known terms:
#   7, 33, 220, 2340, 30090, 511290, 9708270, 223136760, 6470164470, 200575098570

# New terms:
#   7, 33, 220, 2340, 30090, 511290, 9708270, 223136760, 6470164470, 200575098570, 7420875422730, 304251077160030, 13082794956764610, 614890302617971380, 32589185235841244010, 1922761748060828845170, 117288389032450202376810, 7858321607905303633368270, 557940834161276557969147170

# PARI/GP program:
#`(

a(n) = my(A=vecprod(primes(n)), B=2*A); (f(m, p, j) = my(r=oo); forprime(q=p, sqrtnint(B\m, j), my(v=m*q); while(v <= B, if(j==1, if(v>=A && v < r, r = v; B = v-1), if(v*(q+1) <= B, r = min(r, f(v, q+1, j-1)))); v *= q)); r); f(1, 2, n-1); \\ ~~~~

)

for n in (2..100) {
    print(pn_primorial(n).next_omega_prime(n-1), ", ")
}