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A100409 Numbers n such that n is d_1*d_2*...*d_k-th composite number (n=A002808(d_1*d_2*...*d_k)) where d_1 d_2 ... d_k is the decimal expansion of n. 0
48, 68, 78, 88, 98 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

If n is a composite number then A002808(n-pi(n)-1)=n.

EXAMPLE

98 is in the sequence because 9*8=72 and 98 is 72-th composite number(98=A002808(9*8)).

MATHEMATICA

Do[h=IntegerDigits[n]; l=Length[h]; If[ !PrimeQ[n]&& n-PrimePi[n]-1==Product[h[[k]], {k, l}], v=Append[v, n]; Print[n]], {n, 100000}]

CROSSREFS

Cf. A002808.

Sequence in context: A186400 A205188 A045072 * A043157 A039334 A043937

Adjacent sequences:  A100406 A100407 A100408 * A100410 A100411 A100412

KEYWORD

base,fini,full,nonn

AUTHOR

Farideh Firoozbakht (mymontain(AT)yahoo.com), Dec 06 2004

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Last modified February 16 08:13 EST 2012. Contains 205893 sequences.