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A074777 Integers n such that sigma(phi(n))/n = 1/2. +0
1
2, 6, 30, 510, 131070, 8589934590 (list; graph; listen)
OFFSET

1,1

COMMENT

Since 2^2^n+1 is prime for n=0,1,...,4 (Fermat primes), 2^(2^(n-1)+1)-2 is in the sequence for n=1,2,...,6. Conjecture: There are no further terms. - Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Sep 14 2004

FORMULA

For n=1, 2, ..., 6, a(n)=2^(2^(n-1)+1)-2. - Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Sep 14 2004

CROSSREFS

Cf. A062402.

Sequence in context: A076926 A092023 A112723 this_sequence A007280 A102927 A127295

Adjacent sequences: A074774 A074775 A074776 this_sequence A074778 A074779 A074780

KEYWORD

nonn

AUTHOR

Antonio G. Astudillo (afg_astudillo(AT)hotmail.com), Sep 07 2002

EXTENSIONS

8589934590 from Farideh Firoozbakht (f.firoozbakht(AT)math.ui.ac.ir), Sep 14 2004

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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