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”).

A015867
Numbers k such that sigma(k) = sigma(k+7).
16
10, 62, 188, 362, 759, 1178, 1214, 1431, 1442, 1598, 1695, 1748, 2235, 3495, 6699, 9338, 9945, 11438, 13695, 18795, 20727, 26199, 26631, 30548, 35438, 53751, 79826, 79827, 89378, 103887, 114231, 122738, 132111, 135506, 138135
OFFSET
1,1
REFERENCES
J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 62, p. 22, Ellipses, Paris 2008.
LINKS
MATHEMATICA
Select[Range[140000], DivisorSigma[1, #]==DivisorSigma[1, # + 7] &] (* Vincenzo Librandi, Mar 10 2014 *)
PROG
(PARI) is(n)=sigma(n)==sigma(n+7) \\ Charles R Greathouse IV, Mar 09 2014
KEYWORD
nonn
STATUS
approved