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

1,1

Comments

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

Links

Table of n, a(n) for n=1..27.

Example

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.

Sequence in context: A098775 A109759 A194196 * A281937 A378737 A378738

Adjacent sequences: A379134 A379135 A379136 * A379138 A379139 A379140

Keyword

nonn,base,more

Author

Jean-Marc Rebert, Dec 15 2024

Extensions

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

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

Status

approved