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A014573 Smallest k such that phi(x) = k has exactly n solutions. +0
7
3, 0, 1, 2, 4, 8, 12, 32, 36, 40, 24, 48, 160, 396, 2268, 704, 312, 72, 336, 216, 936, 144, 624, 1056, 1760, 360, 2560, 384, 288, 1320, 3696, 240, 768, 9000, 432, 7128, 4200, 480, 576, 1296, 1200, 15936, 3312, 3072, 3240, 864, 3120, 7344, 3888, 720, 1680 (list; graph; listen)
OFFSET

0,1

COMMENT

Carmichael conjectured that no term exists for n=1.

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.

LINKS

M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, December 1972 [alternative scanned copy].

Eric Weisstein's World of Mathematics, Carmichael's conjecture

CROSSREFS

Cf. A000010. Essentially same as A007374, which is the main entry for this sequence.

Sequence in context: A129555 A136748 A049765 this_sequence A067166 A125209 A071818

Adjacent sequences: A014570 A014571 A014572 this_sequence A014574 A014575 A014576

KEYWORD

nonn

AUTHOR

Eric Weisstein (eric(AT)weisstein.com)

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Last modified September 5 01:44 EDT 2008. Contains 143476 sequences.


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