❤️ Are There Odd Perfect Numbers

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1
https://mathworld.wolfram.com/OddPerfectNumber.html
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https://blogs.ams.org/mathgradblog/2013/07/25/odd-perfect-numbers-exist/
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3
https://www.quantamagazine.org/mathematicians-open-a-new-front-on-an-ancient-number-problem-20200910/
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4
https://mathscholar.org/2020/09/do-odd-perfect-numbers-exist-new-results-on-an-old-problem/
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9
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10
https://www.johndcook.com/blog/2010/11/08/odd-perfect-numbers/
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11
https://math.dartmouth.edu/~jvoight/articles/opn-mass-rev-060211.pdf
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12
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13
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14
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17
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18
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19
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20
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21
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22
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23
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26
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27
http://math.stmarys-ca.edu/wp-content/uploads/2017/07/Arturo-Garcia.pdf
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29
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30
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31
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https://www.jstor.org/stable/pdf/2370405.pdf
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34
https://www.maa.org/sites/default/files/s1239496.pdf
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35
https://www.lirmm.fr/~ochem/opn/opn.pdf
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36
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https://blog.jpolak.org/?p=2135
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38
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https://cupola.gettysburg.edu/cgi/viewcontent.cgi?article=1010&context=philfac
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https://www.tandfonline.com/doi/full/10.1080/00029890.2019.1584515
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50
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51
https://mathshistory.st-andrews.ac.uk/HistTopics/Perfect_numbers/
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52
http://pollack.uga.edu/oddperfs-AMM.pdf
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53
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https://link.springer.com/content/pdf/10.1007%2F1-4020-2547-5_1.pdf
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https://sites.math.washington.edu/~morrow/336_17/2016papers/timmy.pdf
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58
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60
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61
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62
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63
https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/odd-perfect-numbers/5FA21CDC2F3D0922D6A4589CC918E7DE
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64
https://maths-people.anu.edu.au/~brent/pd/rpb116.pdf
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65
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66
https://encyclopediaofmath.org/wiki/Perfect_number
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67
https://www.brynmawr.edu/sites/default/files/migrated-files/William%20Dunham%20F19.pdf
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68
https://cmst.eu/wp-content/uploads/files/10.12921_cmst.2021.0000005_TOTH.pdf
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69
https://www.unf.edu/~mdedeo/research/2020-Search_of_OPN.pdf
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70
https://mathforums.com/t/my-proof-that-perfect-numbers-can-only-be-even.356713/
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71
https://nntdm.net/volume-27-2021/number-2/12-19/
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72
https://zenodo.org/record/6592233
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73
https://www.theifod.com/the-rare-beauty-of-perfect-numbers/
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74
https://www.math.waikato.ac.nz/~kab/papers/chenchenformatted.pdf
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75
https://brilliant.org/wiki/perfect-numbers/
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76
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77
https://www.cuemath.com/numbers/perfect-numbers/
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78
https://www.personal.psu.edu/sxt104/class/Math140H/PerfectNum.html
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79
https://www.m-a.org.uk/resources/2E%20Palfreyman%20-%20Odd%20Perfect%20Numbers.pdf
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80
https://blog.mindresearch.org/blog/off-the-number-line-odd-perfect-number
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81
https://www.worldscientific.com/doi/abs/10.1142/S1793042112500935
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82
https://www.techandtrain.com/blog/2018/08/mystery-of-perfect-numbers-resolved-perfect-number-is-always-even-and-predictable/
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83
http://math.bu.edu/people/kost/teaching/MA341/Joe.pdf
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84
https://primes.utm.edu/notes/proofs/EvenPerfect.html
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86
http://weusemath.org/?didyouknow=odd-perfect-number
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https://www.wolframscience.com/nks/notes-4-4--perfect-numbers/
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88
https://www.scienceforums.net/topic/35914-odd-perfect-numbers/
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89
https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Elementary_Number_Theory_(Barrus_and_Clark)/01%3A_Chapters/1.16%3A_Perfect_Numbers_and_Mersenne_Primes
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90
https://www.yumpu.com/en/document/view/21944259/stephanie-mijat-math-301-odd-perfect-numbers-perfect-sfsu
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91
https://www.wikiwand.com/en/Perfect_number
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