OFFSET
2,1
EXAMPLE
a(2) = 7: 8 = 2^3, 9 = 3^2, 10 = 2*5 all have at least the minimum number of 2 prime factors;
a(3) = 97: 98 = 2*7^2, 99 = 3^2*11, 100 = 2^2*5^2 have a minimum of 3 prime factors;
a(4) = 349: 350 = 2*5^2*7, 351 = 3^3*13, 352 = 2^5*11 have a minimum of 4 prime factors.
PROG
(PARI) a359637(maxp) = {my (k=2, pp=3); forprime (p=5, maxp, my(mi=oo); if (p-pp>2, for (j=pp+1, p-1, my(mo=bigomega(j)); if (mo<k, mi=0; break); mi=min(mo, mi)); if (mi>=k, print1(pp, ", "); k++)); pp=p)};
a359637(10^8)
CROSSREFS
KEYWORD
nonn,hard,more
AUTHOR
Hugo Pfoertner, Jan 16 2023
STATUS
approved