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A116172
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Numbers n such that n concatenated with n+2 gives the product of two numbers which differ by 5.
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11
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2, 74, 59264, 510782, 906902, 81790664, 92776472, 10876856041862, 11796926254874, 18332259798794, 18388650720624, 32624670587648, 32699883214248, 43103618706398, 44916698243804, 66132258426302
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Also numbers n such that n concatenated with n+6 gives the product of two numbers which differ by 3.
Also numbers n such that n concatenated with n+8 gives the product of two numbers which differ by 1.
If n+2 and n-4 have the same number of digits, then n is also in A116132 because n//n+2=10^d*n+n+2=k(k+5) then implies n//n-4=10^d*n+n-4=k(k+5)-6=(k-1)(k+6). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 10 2008]
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EXAMPLE
| 92776472//92776474 = 96320542 * 96320547, where // denotes concatenation.
92776472//92776480 = 96320544 * 96320545.
92776472//92776478 = 96320543 * 96320546.
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CROSSREFS
| Cf. A116158, A116171, A116173, A116179, A116303.
Cf. A116185, A115430, A116205, A116343, A116200, A116330.
Sequence in context: A041647 A083018 A062552 * A000329 A091978 A198704
Adjacent sequences: A116169 A116170 A116171 * A116173 A116174 A116175
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KEYWORD
| nonn,base
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AUTHOR
| Giovanni Resta (g.resta(AT)iit.cnr.it), Feb 06 2006
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Apr 15 2007
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