

A082126


Smallest difference>1 between d and p/d for any divisor d of the partial product p of the sequence, starting with 19.


2



19, 18, 29, 27, 9, 27, 2187, 6561, 531441, 387420489, 7625597484987, 328256967394537077627, 381520424476945831628649898809, 235655016338368235499067731945871638181119123
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OFFSET

0,1


COMMENTS

Except for the first three, the members are all powers of 3. Proved by Luke Pebody, pers. comm.


LINKS



PROG

(PARI) p=19; 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=t1); if(v[t]v[u]<2, u=u1; t=t+1); print1(v[t]v[u]", "); p=p*(v[t]v[u]))


CROSSREFS



KEYWORD

nonn


AUTHOR



STATUS

approved



