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Search: id:A163398
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| A163398 |
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Numbers m such that all numbers 10*m+(odd single-digit number) and 100*m+(any 2-digit, digits coprime to 10) are composite. |
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+0
2
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| 167, 176, 403, 513, 761, 935, 1037, 1218, 1307, 1559, 1865, 1932, 1995, 2057, 2123, 2255, 2288, 2340, 2414, 2852, 3152, 3483, 3581, 3734, 3914, 4136, 4169, 4226, 4238, 4265, 4373, 4390, 4433, 4436, 4443, 4460, 4466, 4482, 4631, 4706, 4806, 4842, 4850
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The first requirement is that 10m+1, 10m+3, 10m+5, 10m+7 and 10m+9 are all composite; for
10*m+5 with the divisor 5 this is redundant. The second requirement is that
100*m plus any 2-digit number of A136333 is also composite.
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EXAMPLE
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m=167 is in the sequence because 1671, 1673, 1677, 1679, 16711, 16713, 16717, 16719, 16731,
16733, 16737, 16739, 16771, 16773, 16777, 16779, 16791, 16793, 16797, 16799 are composites.
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CROSSREFS
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Cf. A002808.
Sequence in context: A144380 A011815 A144929 this_sequence A097400 A142664 A142329
Adjacent sequences: A163395 A163396 A163397 this_sequence A163399 A163400 A163401
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KEYWORD
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nonn
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AUTHOR
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Vladislav-Stepan Malakhovsky and Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), Jul 26 2009
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EXTENSIONS
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Rephrased in terms of A136333 and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Aug 02 2009
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