define euclid's lemma
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In number theory, Euclid's lemma is a lemma that captures a fundamental property of prime numbers, namely: Euclid's lemma — If a prime p divides the product ab of two integers a and b, then p must divide at least one of those integers a and b.
simpleboy66:
a=bq+r
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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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