A378893 Numbers that are a proper substring of the concatenation (with repetition) in increasing order of their prime factors.

333, 22564, 113113, 210526, 252310, 1143241, 3331233, 3710027, 31373137, 217893044, 433100023, 2263178956

Offset

1,1

Links

Table of n, a(n) for n=1..12.

Example

333 is a term as 333 = 3 * 3 * 37 = "3337" when concatenated, which contains "333" as a substring.
113113 is a term as 113113 = 7 * 11 * 13 * 113 = "71113113" when concatenated, which contains "113113" as a substring.
433100023 is a term as 433100023 = 433 * 1000231 = "4331000231" when concatenated, which contains "433100023" as a substring.

Crossrefs

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

Sequence in context: A319011 A233030 A250835 * A221827 A158859 A367978

Adjacent sequences: A378890 A378891 A378892 * A378894 A378895 A378896

Keyword

nonn,base,more

Author

Scott R. Shannon, Dec 10 2024

Status

approved