login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

A339681
Larger of amicable pair a < b such that the ratio of their number of divisors d(a)/d(b) sets a new record.
1
284, 365084, 2062570, 75866014, 176374564, 11698280566, 33269758575, 1003691825703, 1014479274802, 154378742017851, 4431391475513830, 10007834494951772, 16164656139746247464, 44908741933335600957
OFFSET
1,1
COMMENTS
The terms are ordered according to their lesser counterparts (A339680).
The terms were calculated using data from Chernykh's site.
MATHEMATICA
s[n_] := DivisorSigma[1, n] - n; rm = 0; seq = {}; Do[m = s[n]; If[m > n && s[m] == n && (r = Divide @@ DivisorSigma[0, {n, m}]) > rm, rm = r; AppendTo[seq, m]], {n, 1, 10^7}]; seq
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Amiram Eldar, Dec 12 2020
STATUS
approved