... progression^2.1

This idea was proposed by Mr. Arnaldo Gomes de Oliveira Filho.

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... lattice^2.2

Note: the answer to this problem is currently unknown.

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... one^3.1

This calculation was developed originally in collaboration with Dr. Timothy Edward Gallivan.

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....^3.2

Many thanks to Dr. Miguel Bello Gamboa for detecting an error in the first version of this problem, and for correcting it for the author.

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... limit^4.1

This calculation was originally developed in collaboration with Dr. See Kit Foong.

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... happen^4.2

Note: the answer to this problem is currently unknown.

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