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A110606 Numbers n whose base 8 representations, interpreted as base 10 integers, are semiprimes. 6
4, 6, 8, 12, 13, 17, 18, 21, 22, 27, 28, 29, 38, 41, 45, 47, 50, 53, 60, 63, 70, 73, 77, 81, 82, 83, 91, 92, 97, 98, 99, 101, 102, 109, 113, 118, 127, 129, 130, 131, 133, 134, 139, 140, 141, 143, 145, 150, 157, 159, 167, 171, 172, 178, 181, 183, 188, 193, 194, 195 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

A108873 is the equivalent using base 3. A110602 is the equivalent using base 4. A110603 is the equivalent using base 5. A110604 is the equivalent using base 6. A110605 is the equivalent using base 7. A110607 is the equivalent using base 9.

EXAMPLE

a(1) = 4 because 4 (base 8) = 4 (base 10) = 2 * 2, a semiprime (A001358).

a(2) = 6 because 6 (base 8) = 6 (base 10) = 2 * 3.

a(3) = 8 because 8 (base 8) = 10 and 10 (base 10) = 2 * 5.

a(4) = 12 because 12 (base 8) = 14 and 14 (base 10) = 2 * 7.

a(5) = 13 because 13 (base 8) = 15 and 15 (base 10) = 3 * 5.

MATHEMATICA

Select[Range[195], Plus @@ Last /@ FactorInteger[FromDigits[IntegerDigits[ #, 8]]] == 2 &] (*Chandler*)

CROSSREFS

Cf. A001358, A007094, A108873, A110602, A110603, A110604, A110605, A110607.

Sequence in context: A110646 A031359 A179852 * A117247 A047407 A090697

Adjacent sequences:  A110603 A110604 A110605 * A110607 A110608 A110609

KEYWORD

base,easy,nonn

AUTHOR

Jonathan Vos Post (jvospost3(AT)gmail.com), Jul 30 2005

EXTENSIONS

Extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), Aug 05 2005

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Last modified February 15 18:22 EST 2012. Contains 205835 sequences.