A095410 -id:A095410 - cp's OEIS frontend

A095411 Numbers k such that total number of decimal digits of all distinct prime factors of k is larger than the number of digits of k.

6, 22, 26, 30, 33, 34, 38, 39, 42, 44, 46, 51, 52, 55, 57, 58, 60, 62, 65, 66, 68, 69, 70, 74, 76, 77, 78, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 99, 102, 110, 114, 130, 132, 138, 143, 154, 156, 165, 170, 174, 182, 186, 187, 190, 195, 198, 202, 204, 206, 209

Offset: 1

Labos Elemer, Jun 21 2004

			For k=55: 2 digits, prime set={5,11} with {5,1,1} digits, 3>2, so 55 is a term.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A055642, A095407, A095408, A095409, A095410.

q[n_] := Total[IntegerLength /@ FactorInteger[n][[;; , 1]]] > IntegerLength[n]; q[1] = False; Select[Range[210], q] (* Amiram Eldar, Mar 25 2025 *)

Solutions to A095407(x) > A055642(x).

Name corrected by Amiram Eldar, Mar 25 2025

A095409 Numbers k such that total number of decimal digits of all distinct prime factors of k is smaller than number of digits of k.

Original entry on oeis.org

1, 16, 25, 27, 32, 49, 64, 81, 100, 108, 112, 121, 125, 128, 135, 144, 147, 160, 162, 169, 175, 189, 192, 196, 200, 216, 224, 225, 243, 245, 250, 256, 288, 289, 320, 324, 343, 361, 375, 384, 392, 400, 405, 432, 441, 448, 486, 500, 512, 529, 567, 576, 625, 640

Offset: 1

Labos Elemer, Jun 21 2004

			k = 100: prime set = {2,5}, 3 digits and 2 digits of prime factors, so 100 is a term.
k = 147: prime set = {3,7}, 3 digits and 2 digits of prime factors, so 147 is a term.

Amiram Eldar, Table of n, a(n) for n = 1..10000

Cf. A055642, A095407, A095408, A095410, A095411.

q[n_] := Total[IntegerLength /@ FactorInteger[n][[;; , 1]]] < IntegerLength[n]; q[1] = True; Select[Range[640], q] (* Amiram Eldar, Mar 25 2025 *)

Solutions to A095407(x) < A055642(x).

cp's OEIS Frontend

A095411 Numbers k such that total number of decimal digits of all distinct prime factors of k is larger than the number of digits of k.

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