Problem AnanonymousArabmanuscript1written before972containsthefollowing Congruentnumberproblem Originalversion Givenanintegernndarationalsquare such that narebothrationalsquares Examples 124isacongruent 24 5 24 Sois6 Itisclearthatitsufcestoassume has ID: 70482
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\n ˜”„Œ ’ Œ ˜ \b\f\b\t \fShou-Wu Zhang \r\f \n\t\f \b \b \f \r \f \r \r\f ‹ €ƒ‹ ˆ‹‹ ˆ ‹ ˆ\b \f\r \r\b\n \t \f \n \n ˜”„Œ ’ Œ ˜ \r\f \r \r \n\t \b \r \b\r \f \r\n \b \f \r\f \n\t \f\b \n \f \n \t \b \r \f\r\f \n\t\t\t\n\t\t\t\b \b \f \f \f \f\f \f \f\r \f\f \r \f\t \b \r\r \f\b \r\b\b \f \f€ \f\f \f \t \r ‚ƒ„ €\f \r \r\f\f…\n † \r \b \f \b \b ‡ \b\r \f ˆ ‰Š \r \f \f…\n † \r \b \r \b \f\n \r \f \f‚ ƒ \f ‚ƒ„ \f \r \f \b \r\t \b \f \t \r\f \f\f\r \f \f\b \f „… €\f Ž ‘‡ \b \r \r \f \r \b ‚‚ \f’ \r “‰\b \b \b ƒ \r \f \b \f \r ‰ \r\b\r \r ”\r \r \r \f \n\n‹\f \b \t ‹† \f€\f ƒ \f ‚ ƒ ƒ‚ „ŒƒŒ„ƒ€„Œ \f‚\f\f\fƒŒ „ŒŒ„ŒŒ\f\f\f \r \b \n‡ \r \b‡ \r \b ‘ \b‡ \r \b \t \fˆ • ‹„ŒŒƒ€€ŒŒ „ƒ ƒ ƒŒ ƒ‚ „ŒƒŒ„ƒ€ \n ˜”„Œ ’ Œ ˜ \r\f \t\t \n\b\t\n\t\b \n\b\t \n\b\t \b\t€‚ \f \t \tƒ „ ……†‡„ \r \r\r\f \n\t\b\t\t\f \b\n\r \t\t \r \fˆ‰Š‹\f Œ…\b\nŽ\b\t €\bˆ\b‰‘ ’„\r\b \b \n\t\b\n “ ”„ ”•–†— “ •‡ƒ˜\n \r \r\f \n\t\r\b\r\n\r\b \r\t\t\r \t „ … •‘‡• ”„ – • Ž Ž €™ŽŽ „ “\f\n…”„ \t “ Š • “ š ›… †–“ “ ”„ \nŽŽ œŽŽ€\t– “ …”„ \nŽŽ€œŽŽ \t“ …”„ \nŽŽ œ\b\t “ “ ”„ \b˜ …… „ … … – …„ † „ \n…†‹”……\t ž…„Ÿ … … š ‡˜ …… „ …„ šŠ\n\b\t „ …… … …™ … … …… ž ‡•† ‡\f Ÿ …„ šŠ\n\b\t „ …… … … … „ … „ ˜… •…›¡ › ……†\nŽŽ‚\t š… … \nŽŽ \tš ›‡› ……†\n\bŽ\t‹… › ……† – – – • \n\b\t †…„ ™ … ŽŽ \f “ ”„ › ……“ ¢£ ”•– Shou-Wu Zhangœ\n \n € \n œ\n \n — ‘ \b \rŠ £ \b\n \n \b\n \n \n © \n Š „•ŽŒ „•Ž™ „••„ \n œ \rŠ \n\f \n \b œ\n \n › –\n œ\n \n ž \n ‰\b\t € œ\n \n œ\n \n \r„••‡¨„••™\f œ\n \n Š \n \r„••™¨„••Ž\f œ\n \n Š \n \r„••Ž¨˜”„Œ\f \n œ\n \n œ\n \n ˜”„„ ‘ \b¤ \n \n \n \n \b \n \b \n \n \n \n \n € \n \r\b € ˆ \f “\b \n \b \n ž\n‘\b \n \n \n \n \n ž›\r˜\f \n \n Ÿ \n\n \n \n \n \n “\n € \n \n \n \n \n ž›\r˜\f \n \n Ÿ \t \n \n \n \n ‘ \b ‰ ‚ \n ‰ € \r„••†\f \n\b ž \r„••Ž\f ž\b\b ‰ ‰ € \r˜””•\f ˆ ‰ € \n \n \r˜”„„\f \t € \n \n Š\b\n „••Ž