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Search: id:A007617
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| A007617 |
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Values not in range of Euler phi function. |
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+0
18
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| 3, 5, 7, 9, 11, 13, 14, 15, 17, 19, 21, 23, 25, 26, 27, 29, 31, 33, 34, 35, 37, 38, 39, 41, 43, 45, 47, 49, 50, 51, 53, 55, 57, 59, 61, 62, 63, 65, 67, 68, 69, 71, 73, 74, 75, 76, 77, 79, 81, 83, 85, 86, 87, 89, 90, 91, 93, 94, 95, 97, 98, 99, 101, 103, 105, 107
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Nontotient numbers.
All odd numbers >2 are in the sequence. The even numbers of the sequence are in A005277.
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REFERENCES
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Jerzy Browkin and Andrzej Schinzel, On integers not of the form n-phi(n), Colloq. Math., 58 (1995) 55-58.
P. Erdos and R. R. Hall, Distinct values of Euler's phi-function, Mathematika, 23 (1976) 1-3.
Kevin Ford, The distribution of totients. Paul ErdHos (1913-1996). Ramanujan J., 2 (1998) 67-151.
Kevin Ford, The distribution of totients, Electron. Res. Announc. Amer. Math. Soc., 4 (1998) 27-34.
Kevin Ford, The number of solutions of phi(x)=m, Ann. of Math.(2), 150 (1999) 283-311.
R. K. Guy, Unsolved Problems in Number Theory, B36.
Helmut Maier and Carl Pomerance, On the number of distinct values of Euler's phi -function, Acta Arith., 49 (1988) 263-275.
Zhang Ming-Zhi, On nontotients, J. Number Theory, 43 (1993) 168-173.
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EXAMPLE
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There are no solutions to phi(m)=14, so 14 is a member of the sequence.
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CROSSREFS
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Numbers not in A000010. Cf. A005277.
Adjacent sequences: A007614 A007615 A007616 this_sequence A007618 A007619 A007620
Sequence in context: A050828 A081534 A097218 this_sequence A065878 A064996 A091569
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KEYWORD
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nonn
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AUTHOR
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wnissen(AT)tfn.net (Walter Nissen)
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