Fermat Theorem Combinatorics Proof

Revision en2, by ASHWANTH_K, 2024-08-13 22:04:27

Hello everyone,

I did like to give a brief overview of Fermat's theorem and its proof. There are various methods to prove Fermat's theorem, but I found the combinatorial approach to be the most straightforward and easy to understand. I'd like to discuss Fermat's theorem and its proof using combinatorics.

References: Wikepedia

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  Rev. Lang. By When Δ Comment
en42 English ASHWANTH_K 2024-08-14 07:15:35 6 Tiny change: ' \n\nThus, this comple' -> ' \n\nThis comple'
en41 English ASHWANTH_K 2024-08-14 07:15:05 110 Tiny change: 'ime and $a$ is any i' -> 'ime and $a > 1$ is any i'
en40 English ASHWANTH_K 2024-08-14 07:10:21 47 Tiny change: 'ons. \n\n<spoiler' -> 'ons. \n![ ](https://ibb.co/DrMDhmJ)\n<spoiler'
en39 English ASHWANTH_K 2024-08-14 00:55:29 258
en38 English ASHWANTH_K 2024-08-14 00:51:19 0 Tiny change: ' characters are repea' -> ' character are repea' (published)
en37 English ASHWANTH_K 2024-08-14 00:47:12 5 Tiny change: ' \n######References' -> ' \n##### References'
en36 English ASHWANTH_K 2024-08-14 00:43:01 18
en35 English ASHWANTH_K 2024-08-14 00:40:07 33 Tiny change: ' \n\nReferenc' -> ' \n\nThus, completing the proof. \nReferenc'
en34 English ASHWANTH_K 2024-08-14 00:39:37 1091 Tiny change: 'xplanation and Proof">\nLet's ' -> 'xplanation">\nLet's '
en33 English ASHWANTH_K 2024-08-14 00:20:03 1135 Tiny change: 'inal form.`\n######Pr' -> 'inal form.\n######Pr'
en32 English ASHWANTH_K 2024-08-14 00:09:51 866
en31 English ASHWANTH_K 2024-08-13 23:06:19 223
en30 English ASHWANTH_K 2024-08-13 23:03:50 90
en29 English ASHWANTH_K 2024-08-13 23:01:52 327 Tiny change: 'YYX, YXY \n- \n\n\nRefere' -> 'YYX, YXY \n\nRefere'
en28 English ASHWANTH_K 2024-08-13 22:43:22 139
en27 English ASHWANTH_K 2024-08-13 22:41:17 4 Tiny change: 'consider $A = 2, P = 3$ ' -> 'consider $a = 2, p = 3$ '
en26 English ASHWANTH_K 2024-08-13 22:40:58 264
en25 English ASHWANTH_K 2024-08-13 22:35:30 74
en24 English ASHWANTH_K 2024-08-13 22:31:20 45
en23 English ASHWANTH_K 2024-08-13 22:30:11 15
en22 English ASHWANTH_K 2024-08-13 22:28:39 416 Tiny change: ' $ = 2^4$ \n $ = 16$ ' -> ' $ = 2^4 = 16$ '
en21 English ASHWANTH_K 2024-08-13 22:19:00 8 Tiny change: 'mple:\n Say a =' -> 'mple:\n Say a ='
en20 English ASHWANTH_K 2024-08-13 22:18:44 9
en19 English ASHWANTH_K 2024-08-13 22:18:19 101
en18 English ASHWANTH_K 2024-08-13 22:16:33 13 Tiny change: 'e Theorem:\n- States that' -> 'e Theorem: \n It states that'
en17 English ASHWANTH_K 2024-08-13 22:16:12 3
en16 English ASHWANTH_K 2024-08-13 22:16:00 44
en15 English ASHWANTH_K 2024-08-13 22:15:40 48
en14 English ASHWANTH_K 2024-08-13 22:15:24 38
en13 English ASHWANTH_K 2024-08-13 22:15:00 346
en12 English ASHWANTH_K 2024-08-13 22:09:27 2 Tiny change: 'v 1 \pmod{n}$ \n\n' -> 'v 1 \pmod{p}$ \n\n'
en11 English ASHWANTH_K 2024-08-13 22:09:16 11 Tiny change: ' \equiv 1 mod p$ \n\n\' -> ' \equiv 1 \pmod{n}$ \n\n\'
en10 English ASHWANTH_K 2024-08-13 22:08:23 8 Tiny change: ' $a^{p-1} = 1 mod ' -> ' $a^{p-1} \equiv 1 mod '
en9 English ASHWANTH_K 2024-08-13 22:07:51 4 Tiny change: '{p-1} = 1 mod p$ \n\' -> '{p-1} = 1 mod p$ \n\'
en8 English ASHWANTH_K 2024-08-13 22:07:38 10
en7 English ASHWANTH_K 2024-08-13 22:07:05 9 Tiny change: 'orem: \n &mdash; States th' -> 'orem: \n- States th'
en6 English ASHWANTH_K 2024-08-13 22:06:55 0 Tiny change: 'rem: \n &mdash; States th' -> 'rem: \n - States th'
en5 English ASHWANTH_K 2024-08-13 22:06:41 8 Tiny change: 'rem: \n States th' -> 'rem: \n - States th'
en4 English ASHWANTH_K 2024-08-13 22:06:24 136
en3 English ASHWANTH_K 2024-08-13 22:04:56 10
en2 English ASHWANTH_K 2024-08-13 22:04:27 287
en1 English ASHWANTH_K 2024-08-13 22:00:23 307 Initial revision (saved to drafts)