

A163398


Numbers m such that all numbers 10*m+(odd singledigit number) and 100*m+(any 2digit, digits coprime to 10) are composite.


1



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
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OFFSET

1,1


COMMENTS

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 2digit number of A136333 is also composite.


LINKS

Table of n, a(n) for n=1..43.


EXAMPLE

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.


CROSSREFS

Cf. A002808.
Sequence in context: A144929 A281934 A212325 * A273548 A273549 A299379
Adjacent sequences: A163395 A163396 A163397 * A163399 A163400 A163401


KEYWORD

nonn,base,less


AUTHOR

VladislavStepan Malakhovsky and JuriStepan Gerasimov, Jul 26 2009


EXTENSIONS

Rephrased in terms of A136333 and extended by R. J. Mathar, Aug 02 2009


STATUS

approved



