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A073544 Numbers n such that 1/(1/phi(n) + 1/phi(n+1) + 1/phi(n+2) + 1/phi(n+3)) is an integer. 0
13, 75, 111, 144, 192, 558, 559, 1683, 2016, 3624, 7129, 10369, 11658, 18362, 19442, 19800, 19801, 32772, 47627, 60482, 82082, 133988, 143642, 229321, 291721, 312483, 352846, 390603, 395136, 436801, 465482, 600601, 711936, 806736, 819729 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

EXAMPLE

1/phi(75)+1/phi(76)+1/phi(77)+1/phi(78) = 1/40+1/36+1/60+1/24 = 1/9 so 75 is in the sequence.

MATHEMATICA

Select[Range[900000], IntegerQ[1/Sum[1/EulerPhi[ #+i], {i, 0, 3}]]&]

CROSSREFS

Sequence in context: A139070 A094421 A103968 * A051361 A114070 A005340

Adjacent sequences:  A073541 A073542 A073543 * A073545 A073546 A073547

KEYWORD

nonn

AUTHOR

Benoit Cloitre (benoit7848c(AT)orange.fr), Aug 27 2002

EXTENSIONS

Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Sep 03 2002

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Last modified February 14 11:36 EST 2012. Contains 205623 sequences.