A116102 Numbers k such that k concatenated with k-8 gives the product of two numbers which differ by 2.

16, 1337032, 2084503, 2953232, 4023943, 1330033613070195328, 4036108433661798551, 8283744867954114232, 6247320195351414276186411625291, 9452080202814205132771066881607

Offset

1,1

Comments

If k-8 has d digits, the concatenation is k//k-8 = 10^d*k+k-8 = m*(m+2), therefore k//k-7 = 10^d*k+k-7 = (m+1)^2, so there is a large overlap with A115434. - R. J. Mathar, May 22 2026

Links

Table of n, a(n) for n=1..10.

Example

4023943//4023935 = 6343455 * 6343457, where // denotes
concatenation.

Crossrefs

Cf. A116095, A116101, A116103, A116116, A116233.

Sequence in context: A288951 A175988 A013804 * A323336 A372140 A356084

Adjacent sequences: A116099 A116100 A116101 * A116103 A116104 A116105

Keyword

nonn,base,changed

Author

Giovanni Resta, Feb 06 2006

Status

approved