I am having a hard time making head way on two problems related to the k-th prime and one about co-primes that I would really appreciate some help and/or direction!(adsbygoogle = window.adsbygoogle || []).push({});

Prove that:

(let pk be the k-th prime)

and

Regarding co-primes... is there any way to find a set of four numbers that are coprime, but cannot be subsequently grouped into sets of three that are?

Again, thank you for your time and generosity in helping me out!

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# K-th Prime Proofs & Co-Prime Numbers

Loading...

Similar Threads - Prime Proofs Prime | Date |
---|---|

Proof question: the sum of the reciprocals of the primes diverges | Jun 13, 2014 |

Proof of the twin primes conjecture | Jun 29, 2013 |

Need proof re prime of the form 8N +/-1 | Nov 11, 2012 |

Proof that ∏(√n) increments when n is a centered polygonal number with a prime index. | Oct 15, 2012 |

Proof that exists prime btw n<p<n! | Oct 11, 2012 |

**Physics Forums - The Fusion of Science and Community**