define euclid's lemma
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let 'a' and 'b' be any two positive integers. Then, there exists unique integers 'q' and 'r' such that a=bq+r, where 0 <_ r < b.
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ᴍɪss ᴍᴀsᴛᴇʀᴍɪɴᴅ~❤️
ɪɴ ɴᴜᴍʙᴇʀ ᴛʜᴇᴏʀʏ, ᴇᴜᴄʟɪᴅ's ʟᴇᴍᴍᴀ ɪs ᴀ ʟᴇᴍᴍᴀ ᴛʜᴀᴛ ᴄᴀᴘᴛᴜʀᴇs ᴀ ғᴜɴᴅᴀᴍᴇɴᴛᴀʟ ᴘʀᴏᴘᴇʀᴛʏ ᴏғ ᴘʀɪᴍᴇ ɴᴜᴍʙᴇʀs, ɴᴀᴍᴇʟʏ: ᴇᴜᴄʟɪᴅ's ʟᴇᴍᴍᴀ — ɪғ ᴀ ᴘʀɪᴍᴇ ᴘ ᴅɪᴠɪᴅᴇs ᴛʜᴇ ᴘʀᴏᴅᴜᴄᴛ ᴀʙ ᴏғ ᴛᴡᴏ ɪɴᴛᴇɢᴇʀs ᴀ ᴀɴᴅ ʙ, ᴛʜᴇɴ ᴘ ᴍᴜsᴛ ᴅɪᴠɪᴅᴇ ᴀᴛ ʟᴇᴀsᴛ ᴏɴᴇ ᴏғ ᴛʜᴏsᴇ ɪɴᴛᴇɢᴇʀs ᴀ ᴀɴᴅ ʙ.
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