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Numbers that are a proper substring of the concatenation (with repetition) in increasing order of their prime factors.
2

%I #15 Dec 11 2024 23:20:36

%S 333,22564,113113,210526,252310,1143241,3331233,3710027,31373137,

%T 217893044,433100023,2263178956

%N Numbers that are a proper substring of the concatenation (with repetition) in increasing order of their prime factors.

%e 333 is a term as 333 = 3 * 3 * 37 = "3337" when concatenated, which contains "333" as a substring.

%e 113113 is a term as 113113 = 7 * 11 * 13 * 113 = "71113113" when concatenated, which contains "113113" as a substring.

%e 433100023 is a term as 433100023 = 433 * 1000231 = "4331000231" when concatenated, which contains "433100023" as a substring.

%Y Cf. A027746, A378894, A376078, A372309, A371958, A371696, A372046, A371641.

%K nonn,base,more

%O 1,1

%A _Scott R. Shannon_, Dec 10 2024