A082124 Smallest difference>1 between d and p/d for any divisor d of the partial product p of the sequence, starting with 9.

9, 8, 6, 6, 6, 36, 39, 618, 4932, 60192, 3075084, 349550100, 15219084556800, 13331385308976969710

Offset: 1

Author

Ralf Stephan, Apr 04 2003

Keywords

• nonn
• hard
• more

Crossrefs

Cf. A082120, A082123, A003681 (starts with 2, 3), A082125.

Programs

PARI

p=9; print1(p, ", "); for(n=1, 50, v=divisors(p); r=sqrt(p); t=0; for(k=1, matsize(v)[2], if(v[k]>=r, t=k; break));  if(v[t]^2==p, u=t, u=t-1);  if(v[t]-v[u]<2, u=u-1; t=t+1); print1(v[t]-v[u]", "); p=p*(v[t]-v[u]))

Extensions

a(14) from Herman Jamke (hermanjamke(AT)fastmail.fm), Nov 02 2006