The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS"). Other ways to donate

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A274566 Numbers n such that sigma(n)==0 (mod n-10). 12
 11, 12, 14, 22, 40, 42, 46, 154, 190, 2656, 6490, 44650, 318250, 1360810, 1503370, 1788490, 3214090, 103712410, 3915380170, 6077111050, 9796360330, 10828121356, 33086522327050, 35966517350410 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS EXAMPLE sigma(11) mod (11 - 10) = 12 mod 1 = 0. MAPLE with(numtheory); P:=proc(q, h) local n;  for n from 1 to q do if n+h>0 then if type(sigma(n)/(n+h), integer) then print(n); fi; fi; od; end: P(10^9, -10); MATHEMATICA k=-10; Select[Range[Abs@k+1, 10^7], Mod[DivisorSigma[1, #], #+k] == 0 &] (* Vincenzo Librandi, Jul 06 2016 *) PROG (MAGMA) [n: n in [11..2*10^6] | SumOfDivisors(n) mod (n-10) eq 0 ]; // Vincenzo Librandi, Jul 06 2016 CROSSREFS Cf. A045770, A067702, A088833, A181598, A223607, A274551-A274565. Sequence in context: A034907 A045987 A121978 * A213309 A128997 A189836 Adjacent sequences:  A274563 A274564 A274565 * A274567 A274568 A274569 KEYWORD nonn AUTHOR Paolo P. Lava, Jul 06 2016 EXTENSIONS a(17)-a(22) from Giovanni Resta, Jul 06 2016 a(23)-a(24) from Jud McCranie, Dec 2 2019 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 26 07:49 EST 2020. Contains 338632 sequences. (Running on oeis4.)