A379137 Numbers k such that a nonzero proper substring of the concatenation, in decreasing order, of the prime factors of k (without multiplicity) is divisible by k.

66, 95, 132, 995, 9995, 18733, 85713, 93115, 131131, 197591, 316406, 380627, 632812, 999995, 2897105, 4285713, 7231913, 8691315, 58730137, 99999995, 169035711, 507107133, 3005755566, 4870313015, 6011511132, 9023163631, 9091190911

Offset: 1

Author

Jean-Marc Rebert, Dec 15 2024

Keywords

• nonn
• base
• more

Comments

507107133, 4870313015, and all numbers of the form 5*A055558(k), k>=1, are terms (cf. A378950). - Michael S. Branicky, Dec 16 2024

Examples

			66 is a term as 66 = 2 * 3 * 11 -> 1132 contains the substring 132, which is equal to 2 * 66 and is divisible by 66.
		

Crossrefs

Cf. A055558, A085307, A378950.

Extensions

a(19)-a(20) from Michael S. Branicky, Dec 16 2024

a(21)-a(22) from Jean-Marc Rebert, Dec 16 2024