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A274563 Numbers k such that sigma(k) == 0 (mod k+9). 2

%I #18 Feb 10 2021 01:27:49

%S 15,208,6976,8415,31815,351351,2077696,20487159,159030135,536559616,

%T 2586415095,137433972736,2199003332608

%N Numbers k such that sigma(k) == 0 (mod k+9).

%e sigma(15) mod (15 + 9) = 24 mod 24 = 0.

%p with(numtheory); P:=proc(q,h) local n; for n from 1 to q do

%p if n+h>0 then if type(sigma(n)/(n+h),integer) then print(n); fi; fi; od; end: P(10^9,9);

%t Select[Range[10^6], Mod[DivisorSigma[1, #], # + 9] == 0 &] (* _Michael De Vlieger_, Jul 06 2016 *)

%Y Cf. A045770, A067702, A088833, A181598, A223610, A274551-A274562, A274564-A274566.

%K nonn,more

%O 1,1

%A _Paolo P. Lava_, Jul 06 2016

%E a(7)-a(13) from _Giovanni Resta_, Jul 06 2016

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Last modified April 25 10:01 EDT 2024. Contains 371967 sequences. (Running on oeis4.)