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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 (list; graph; refs; listen; history; text; internal format)
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=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]))
CROSSREFS
Cf. A082120, A003681 (starts with 2, 3), A082128.
Sequence in context: A023461 A305238 A004460 * A176411 A131382 A291475
KEYWORD
nonn
AUTHOR
Ralf Stephan, Apr 04 2003
STATUS
approved

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Last modified June 14 08:50 EDT 2024. Contains 373393 sequences. (Running on oeis4.)