A378950 Numbers that are a proper substring of the concatenation (with repetition) in decreasing order of their prime factors.

95, 132, 995, 9995, 73332, 85713, 93115, 131131, 197591, 632812, 999995, 4285713, 8691315, 58730137, 99999995, 131373333, 507107133, 4870313015

Offset: 1

Author

Scott R. Shannon, Dec 11 2024

Keywords

• nonn
• base
• more

Comments

All numbers of the form 5*A055558(k), k>=1, are terms.

Examples

			95 is a term as 95 = 19 * 5 = "195" when concatenated, which contains "95" as a substring.
632812 is a term as 632812 = 563 * 281 * 2 * 2 = "56328122" when concatenated, which contains "632812" as a substring.
4870313015 is a term as 4870313015 = 748703 * 1301 * 5 = "74870313015" when concatenated, which contains "4870313015" as a substring.
		

Crossrefs

Cf. A027746, A378893, A378894, A376078, A372309.