Consider all primes(adsbygoogle = window.adsbygoogle || []).push({});

2, 3, 5, 7, 11, 13...

and their products such that

2x3=6, 2x3x5=30, 2x3x5x7=210, 2x3x5x7x11=2310, 2x3x5x7x11x13=30030...

Is this latter series used in number theory?

Likewise, can one determine

lim (2+3+5+7+11+13...p_{n-1})/(2+3+5+7+11+13...p_{n})

n-->_{[oo]}

in analogy to phi of Fibonacci numbers?

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# New prime series?

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