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A116120
Numbers k such that k concatenated with k-5 gives the product of two numbers which differ by 1.
4
7, 55, 5255, 6295, 75511, 92137, 5551405, 7943911, 1257669432489239675, 2148743977942130765, 2877834685014859837, 4164942361780146967, 10235898967817894552965, 15389481849681116007757
OFFSET
1,1
COMMENTS
If k-5 has d digits, the concatenation is k//k-5 = 10^d*k+k-5 = m*(m+1), therefore k//k-7 = 10^d*k+k-7 = (m-1)*(m+2), so there is a large overlap with A116110. - R. J. Mathar, May 22 2026
CROSSREFS
KEYWORD
nonn,base,changed
AUTHOR
Giovanni Resta, Feb 06 2006
STATUS
approved