A192853 Places n such that the two remainders A187680(n) and A191906(n) are both zero.

6, 28, 120, 270, 496, 672, 924, 1320, 3948, 7980, 8128, 10920, 12690, 15456, 18018, 25296, 27930, 29190, 30240, 30294, 32760, 35640, 52080, 55692, 61770, 69936, 76986, 83160, 83580, 86814, 106950, 127218, 130200, 131040, 141360, 155610

Offset: 1

Author

Juri-Stepan Gerasimov, Jul 11 2011

Keywords

• nonn

Comments

The even perfect numbers (A000396) are a subsequence.

Links

• Robert Israel, Table of n, a(n) for n = 1..214

Crossrefs

Cf. A000396, A145551, A187680, A191906

Programs

Maple

filter:= proc(n) local Q,p,s;
  Q:= numtheory:-divisors(n) minus {n};
  p:= convert(Q,`*`); s:= convert(Q,`+`);
  p mod s = 0 and (p * n ) mod (s + n ) = 0
end proc:
select(filter, [$2..2*10^5]); # Robert Israel, Apr 22 2025