Results 1 to 3 of 3

Thread: number theory

  1. Aug 17th, 2003, 11:49 AM #1
    bugzpodder
    bugzpodder is offline

    Thread Starter
    Fanatic Member bugzpodder's Avatar
    Join Date
    Jun 2002
    Location
    Ontario, Canada
    Posts
    787

    number theory

    solve in positive integers:
    a^2+5b^2=p^2
    a^2-5b^2=q^2
    Massey RuleZ! ^-^__Cheers!__^-^ Massey RuleZ!


    Did you know that...
    The probability that a random rational number has an even denominator is 1/3 (Salamin and Gosper 1972)? This result is independently verified by me (2002)!
    Reply With Quote Reply With Quote
  2. Aug 17th, 2003, 06:25 PM #2
    sql_lall
    sql_lall is offline
    Fanatic Member sql_lall's Avatar
    Join Date
    Jul 2002
    Location
    Up Above (i.e. AUS)
    Posts
    571

    Talking hmm....

    Are we solving for a and b in terms of p and q,
    p and q in terms of a and b,
    or all possibilities for a,b,p and q?

    Also:
    2a2=p2+q2
    10b2=p2-q2
    sql_lall
    Reply With Quote Reply With Quote
  3. Aug 17th, 2003, 09:16 PM #3
    bugzpodder
    bugzpodder is offline

    Thread Starter
    Fanatic Member bugzpodder's Avatar
    Join Date
    Jun 2002
    Location
    Ontario, Canada
    Posts
    787
    find all quadriples (a,b,p,q)
    Massey RuleZ! ^-^__Cheers!__^-^ Massey RuleZ!


    Did you know that...
    The probability that a random rational number has an even denominator is 1/3 (Salamin and Gosper 1972)? This result is independently verified by me (2002)!
    Reply With Quote Reply With Quote
« Previous Thread | Next Thread »

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •  

Forum Rules


Click Here to Expand Forum to Full Width