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Search: id:A078251
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| A078251 |
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a(n) = smallest multiple of the n-th prime whose decimal expansion is nnn...n, or 0 if no such number exists. |
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+0
1
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| 0, 222, 0, 444444, 55, 666666, 7777777777777777, 888888888888888888, 9999999999999999999999, 1010101010101010101010101010, 111111111111111111111111111111, 121212, 1313131313
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OFFSET
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1,2
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COMMENT
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Conjecture: No entry is zero for n > 3.
No entry is zero for n > 3 because 10 is only divisible by the first and the third primes. In particular, for n>3 the number formed by nn..n (n-th prime - 1) n's is divisible by n-th prime. - Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Jan 04 2003
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EXAMPLE
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a(6) = 666666 is the smallest multiple of 6-th prime 13 using digit 6.
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CROSSREFS
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Adjacent sequences: A078248 A078249 A078250 this_sequence A078252 A078253 A078254
Sequence in context: A083958 A083959 A078212 this_sequence A092625 A043612 A101955
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KEYWORD
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base,nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 24 2002
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EXTENSIONS
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More terms from Sascha Kurz (sascha.kurz(AT)uni-bayreuth.de), Jan 04 2003
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