A337055 Numbers that are k+A000010(k) for at least two different k.

24, 32, 33, 38, 45, 48, 56, 64, 76, 86, 93, 96, 112, 113, 128, 140, 150, 152, 153, 172, 182, 192, 200, 203, 213, 216, 224, 225, 231, 256, 258, 263, 280, 293, 297, 300, 304, 320, 325, 326, 333, 342, 344, 345, 352, 364, 374, 380, 383, 384, 393, 397, 400, 402, 410, 413, 429, 432, 448, 459, 470, 473

Offset: 1

Author

J. M. Bergot and Robert Israel, Aug 12 2020

Keywords

• nonn

Comments

If p>2 and 4*p-1 are prime, then 12*p-4 is in the sequence.

If p>3 and (5*p-1)/2 are prime, then 5*p-2 is in the sequence.

Examples

			a(3)=33 is in the sequence because 33 = 17 + A000010(17) = 21 + A000010(21).
		

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000010, A062737.

Programs

Maple

N:= 20000: # for terms <= N
V:= Vector(N):
for n from 1 to N do
  v:= n + numtheory:-phi(n);
  if v <= N then V[v]:= V[v]+1 fi
od:
select(t -> V[t]>=2, [$1..N]);