Explore BrainMass

Explore BrainMass

    Superincreasing Sequence and Prove that Expression is Prime

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    1) Let S= {b ,b ,...........b } satisfies b j+1 >2b j for all j =1,2,3,.......n-1. Prove that S is a superincreasing sequence. ≡

    2) Prove that n E N with n ≥ 3 is prime if and only if there exists an integer m such that m^(n-1) ≡ 1 (mod n)^((n-1)/q) but m is not ≡ ( mod n) for any prime q| (n-1)

    © BrainMass Inc. brainmass.com March 4, 2021, 6:25 pm ad1c9bdddf


    Solution Preview

    Please see the attached file for the complete solution.
    Thanks for using BrainMass.

    1. Proof:
    We know that a sequence is superincreasing if . In this problem, we are given with , . Then we have
    More generally, for any ...

    Solution Summary

    A Superincreasing Sequence and a prime expression are investigated. The superincreasing sequences are examined.