Voozh

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, 514323493408849944146227200, 5176534658231750941691248914149814042624, 25896099611547863567729787651729523931804400634204575498240

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Table of n, a(n) for n=1..17.

PROG

(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]))

CROSSREFS

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

Sequence in context: A239387 A226735 A155920 * A393785 A384059 A132721

Adjacent sequences: A082121 A082122 A082123 * A082125 A082126 A082127

KEYWORD

nonn,hard

AUTHOR

Ralf Stephan, Apr 04 2003

EXTENSIONS

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

a(15)-a(17) from Sean A. Irvine, Nov 24 2025

STATUS

approved

URL: https://oeis.org/A082124

⇱ A082124 - OEIS