### The number of relatively prime subsets of $\{1,2,...,n\}$.

Ayad, Mohamed, Kihel, Omar (2009)

Integers

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Ayad, Mohamed, Kihel, Omar (2009)

Integers

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Andrew Granville, Barry Powell (1988)

Acta Arithmetica

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Stanislav Jakubec (2003)

Mathematica Slovaca

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Iannucci, Douglas E., Deng, Moujie, Cohen, Graeme L. (2003)

Journal of Integer Sequences [electronic only]

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W. Narkiewicz (1983)

Acta Arithmetica

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Cosgrave, John B., Dilcher, Karl (2008)

Integers

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Mazur, Marcin (2006)

Integers

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Xiquan Liang, Li Yan, Junjie Zhao (2007)

Formalized Mathematics

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In this paper, we defined the congruence relation and proved its fundamental properties on the base of some useful theorems. Then we proved the existence of solution and the number of incongruent solution to a linear congruence and the linear congruent equation class, in particular, we proved the Chinese Remainder Theorem. Finally, we defined the complete residue system and proved its fundamental properties.

J. Wójcik (1966)

Acta Arithmetica

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Shiu, P. (2005)

Experimental Mathematics

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