A172344 Numbers n such that phi(n)/n = 16/29.

609, 1827, 4263, 5481, 12789, 16443, 17661, 29841, 38367, 49329, 52983, 89523, 115101, 123627, 147987, 158949, 208887, 268569, 345303, 370881, 443961, 476847, 512169, 626661, 805707, 865389, 1035909, 1112643, 1331883, 1430541, 1462209, 1536507, 1879983

Offset

1,1

Comments

Also, numbers n such that phi(n)/n = 16/29, where phi is the Euler totient function "A000010". - Lekraj Beedassy, Jul 18 2008

References

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 840.

T. M. Apostol, Introduction to Analytic Number Theory, Springer-Verlag, 1976, page 24.

J.-M. De Koninck, Ces nombres qui nous fascinent, Entry 189, p. 57, Ellipses, Paris 2008.

Links

Donovan Johnson, Table of n, a(n) for n = 1..300

H. Fripertinger, The Euler phi function

Graeme McRae, Euler's Totient Function

Maple

with(numtheory):for n from 1 to 1500000 do; if evalf(phi(n)/n) = evalf(16/29) then print(n); else fi ; od;

Mathematica

Select[Range[2000000], EulerPhi[#]/#==16/29&] (* Harvey P. Dale, Dec 13 2013 *)

Crossrefs

Sequence in context: A345875 A252436 A179247 * A187421 A296825 A186213

Adjacent sequences: A172341 A172342 A172343 * A172345 A172346 A172347

Keyword

nonn

Author

Michel Lagneau, Feb 01 2010

Status

approved