CoCalc Public Filestmp / 2015.sagews
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Yes, it&nbsp;is the <b><u>new&nbsp;year</u></b>!&nbsp;

<div>&nbsp;Yes! &nbsp;Finally!! xxx</div>
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<div class="MathJax_Display" role="textbox" aria-readonly="true" style="text-align: center;" contenteditable="false"></div> $$2015 = 5 \cdot 13 \cdot 31$$
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<b><i><u>Not</u></i></b> a sum of two squares, since $31\equiv 3 \pmod{4}$ &nbsp; <font color="#061b6e"><font size="5"></font></font>
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<div><font color="#061b6e"><font size="5">What is the deal?&nbsp;</font></font>
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Yes, it is the new year
Yes!  Finally!! xxx

$2015 = 5 \cdot 13 \cdot 31$
Not a sum of two squares, since $31\equiv 3 \pmod{4}$
What is the deal?
for n in [2010..2060]:
print n, factor(n)

2010 2 * 3 * 5 * 67 2011 2011 2012 2^2 * 503 2013 3 * 11 * 61 2014 2 * 19 * 53 2015 5 * 13 * 31 2016 2^5 * 3^2 * 7 2017 2017 2018 2 * 1009 2019 3 * 673 2020 2^2 * 5 * 101 2021 43 * 47 2022 2 * 3 * 337 2023 7 * 17^2 2024 2^3 * 11 * 23 2025 3^4 * 5^2 2026 2 * 1013 2027 2027 2028 2^2 * 3 * 13^2 2029 2029 2030 2 * 5 * 7 * 29 2031 3 * 677 2032 2^4 * 127 2033 19 * 107 2034 2 * 3^2 * 113 2035 5 * 11 * 37 2036 2^2 * 509 2037 3 * 7 * 97 2038 2 * 1019 2039 2039 2040 2^3 * 3 * 5 * 17 2041 13 * 157 2042 2 * 1021 2043 3^2 * 227 2044 2^2 * 7 * 73 2045 5 * 409 2046 2 * 3 * 11 * 31 2047 23 * 89 2048 2^11 2049 3 * 683 2050 2 * 5^2 * 41 2051 7 * 293 2052 2^2 * 3^3 * 19 2053 2053 2054 2 * 13 * 79 2055 3 * 5 * 137 2056 2^3 * 257 2057 11^2 * 17 2058 2 * 3 * 7^3 2059 29 * 71 2060 2^2 * 5 * 103