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amistre64

  • 2 years ago

So, number theory homework consists of questions like: 1) is 107 a prime number? 2) make a sieve to find all primes less than 200 3) what is the smallest prime of the form (5n+4) 4) is 1716 divisible by 22 5) what are the factors of 12 Welcome to college math .... :/

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  1. Traxter
    • 2 years ago
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    What one do you need help with? Sieve of Erastosthenes should be enough for the first 2.

  2. amistre64
    • 2 years ago
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    i need help with the sheer boredom of it all :) ive already finished them, i just found them to be soooo boring.

  3. Traxter
    • 2 years ago
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    Boring as in not challenging enough I hope you mean?

  4. amistre64
    • 2 years ago
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    yes

  5. Traxter
    • 2 years ago
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    I'm guessing you've just started this at college, in which case the lecturers will have to cover the basics to get everyone to the same level before they proceed with the more advanced stuff.

  6. amistre64
    • 2 years ago
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    that is correct

  7. Traxter
    • 2 years ago
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    Have you heard of Euler's totient function?

  8. amistre64
    • 2 years ago
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    ive heard of euler, cant say i know what a totient is tho

  9. Traxter
    • 2 years ago
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    Ok, you will no doubt learn about it this year so you might find it interesting to read about.

  10. amistre64
    • 2 years ago
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    the wolf says its a relatviely prime function sounds similar to the \(\pi\)(n) to me

  11. amistre64
    • 2 years ago
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    is 1 relativeley prime to 24?

  12. Traxter
    • 2 years ago
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    Yes.

  13. Traxter
    • 2 years ago
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    If integers n and k are relatively prime then gcd(n, k)=1 is the technical definition.

  14. amistre64
    • 2 years ago
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    ah yes

  15. amistre64
    • 2 years ago
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    i asked the teacher if when doing proofs on teh test, if we can make a not on the side margin saying that its fairly simple enough but that there is not enough room :)

  16. Traxter
    • 2 years ago
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    I don't think the Fermat argument will suffice in an exam unfortunately :P

  17. amistre64
    • 2 years ago
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    i think a classmate of mine did a paper in which he mentioned the totient function, if i recall correctly it has a relationship with a fibonnacci sequnce

  18. Traxter
    • 2 years ago
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    I'm not sure how it could have a relationship with the fibonacci sequence, I'd be interested to see if it did though.

  19. amistre64
    • 2 years ago
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    ill see him later today, if hes in class, and ask him to refresh me memory :)

  20. Traxter
    • 2 years ago
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    I have some very interesting problems we received as assignments in my first year number theory course, I could have a look for them if you are interested?

  21. EncyclopediaKid
    • 2 years ago
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    1.107 is an prime number 5. factors of 12; 1,2,3,4,6, and 12

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