A364000 -id:A364000 - cp's OEIS frontend

A363998 Primes of the form |2^i - 3^j|, for i >= 0, j >= 0.

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 47, 61, 73, 79, 101, 127, 139, 179, 211, 227, 229, 239, 241, 269, 431, 503, 509, 601, 727, 997, 1021, 1163, 1319, 1931, 2039, 2179, 3299, 3853, 4093, 4513, 6529, 6553, 7949, 8111, 8191, 11491, 14197, 16141, 16381

Offset: 1

Clark Kimberling, Jul 30 2023

nonn

			As in A014121, numbers of the form |2^i - 3^j|, for i >=0, j>=0 are 0,1,2,3,5,7,8,11,..., in which the primes are 2,3,5,7,11,... .

Complement of A007643.

Cf. A000040, A000079, A000244, A014121, A321671, A363999, A364000.

z = 500;
t = Table[Abs[2^i - 3^j], {i, 0, z}, {j, 0, z}];
v = Union[Sort[Flatten[t]]]; (* A014121*)
Intersection[v, Prime[Range[200000]]]   (* A363998 *)

A363999 Numbers of the form |2^i - 3^j|, for i >= 1, j >= 1.

Original entry on oeis.org

1, 5, 7, 11, 13, 17, 19, 23, 25, 29, 37, 47, 49, 55, 61, 65, 73, 77, 79, 101, 115, 119, 125, 139, 175, 179, 211, 217, 227, 229, 235, 239, 241, 247, 253, 269, 295, 431, 473, 485, 503, 509, 601, 665, 697, 713, 721, 725, 727, 781, 943, 997, 1015, 1021, 1163

Offset: 1

Clark Kimberling, Jul 30 2023

nonn

Cf. A014121, A363998, A364000, A364001.

A364001 Primes of the form |2^i - 3^j|, i >= 1, j >= 1.

Original entry on oeis.org

5, 7, 11, 13, 17, 19, 23, 29, 37, 47, 61, 73, 79, 101, 139, 179, 211, 227, 229, 239, 241, 269, 431, 503, 509, 601, 727, 997, 1021, 1163, 1319, 1931, 2039, 2179, 3299, 3853, 4093, 4513, 6529, 6553, 7949, 8111, 11491, 14197, 16141, 16381, 19427, 19681, 32687

Offset: 1

Clark Kimberling, Aug 09 2023

nonn

Cf. A014121, A192110, A192111, A363998.

z = 500;
t = Table[Abs[2^i - 3^j], {i, 1, z}, {j, 1, z}];
u = Sort[Flatten[t]];
v = Union[u] ; (* A363999 *)
w = (v - 1)/2 ;  (* A364000 *)
Intersection[v, Prime[Range[200000]]]  (* this sequence *)

cp's OEIS Frontend

A363998 Primes of the form |2^i - 3^j|, for i >= 0, j >= 0.

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A363999 Numbers of the form |2^i - 3^j|, for i >= 1, j >= 1.

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A364001 Primes of the form |2^i - 3^j|, i >= 1, j >= 1.

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