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A179668 Products of the 8th power of a prime and a distinct prime (p^8*q). 9
768, 1280, 1792, 2816, 3328, 4352, 4864, 5888, 7424, 7936, 9472, 10496, 11008, 12032, 13122, 13568, 15104, 15616, 17152, 18176, 18688, 20224, 21248, 22784, 24832, 25856, 26368, 27392, 27904, 28928, 32512, 32805, 33536, 35072, 35584, 38144, 38656, 40192 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

Will Nicholes, Prime Signatures

FORMULA

Solutions of the equation tau(n^17)=137*tau(n). - Paolo P. Lava, Mar 18 2013

MAPLE

A179668:=proc(q) local n;

for n from 1 to q do if tau(n^17)=137*tau(n) then print(n); fi; od; end:

A179668(10^10);  # Paolo P. Lava, Mar 18 2013

MATHEMATICA

f[n_]:=Sort[Last/@FactorInteger[n]]=={1, 8}; Select[Range[40000], f]

With[{nn=40}, Take[Union[#[[1]]^8 #[[2]]&/@Flatten[Permutations/@Subsets[ Prime[Range[nn]], {2}], 1]], nn]] (* Harvey P. Dale, Jan 20 2016 *)

PROG

(PARI) list(lim)=my(v=List(), t); forprime(p=2, (lim\2)^(1/8), t=p^8; forprime(q=2, lim\t, if(p==q, next); listput(v, t*q))); vecsort(Vec(v)) \\ Charles R Greathouse IV, Jul 20 2011

CROSSREFS

Cf. A006881, A007304, A065036, A085986, A085987, A092759, A178739, A179642, A179643, A179644, A179645, A179646, A179664, A179665, A179666, A179667.

Sequence in context: A219225 A045082 A257414 * A219317 A281238 A268808

Adjacent sequences:  A179665 A179666 A179667 * A179669 A179670 A179671

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jul 23 2010

STATUS

approved

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Last modified October 23 17:32 EDT 2019. Contains 328373 sequences. (Running on oeis4.)