- #1

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## Main Question or Discussion Point

Does either

[tex]\frac{\prod_{2N=n}^\infty{p_n}}{\prod_{2N-1=n}^\infty{p_n}}[/tex]

or

[tex]\frac{\sum_{2N=n}^\infty{p_n}}{\sum_{2N-1=n}^\infty{p_n}}[/tex]

converge, diverge or oscillate, where N are the natural numbers, and p

[tex]\frac{\prod_{2N=n}^\infty{p_n}}{\prod_{2N-1=n}^\infty{p_n}}[/tex]

or

[tex]\frac{\sum_{2N=n}^\infty{p_n}}{\sum_{2N-1=n}^\infty{p_n}}[/tex]

converge, diverge or oscillate, where N are the natural numbers, and p

_{n}is the nth prime?