Bit of Fun. PRIME DECOMPOSITION OF CALENDAR YEARS 2000-2100

PRIME DECOMPOSITION OF CALENDAR YEARS  2000-2100

Are you like me and always wondering what prime factorisation the next calendar year will bring? LoL. Well look no further, here are the prime decompositions of the whole century for your nerdy convenience!

$2016$ is composed of all single digit primes, while I'm really looking forward to $2017$, prime!, we haven't had a prime year since $2011$. This century there are a total of $14$ prime calendar years and the decade of highest density of primes is $2080-2090$ within which there are four prime years. Fascinating isn't it! $\Large{ {o\;o\atop |} \atop\smile}$

$\begin{array}{ll}
2000 &= 2^4\times 5^3 \\
2001 &= 3\times 23\times 29\\
2002 &= 2\times 7\times 11\times 13\\
2003 &= \mbox{prime} \\
2004 &= 2^2\times 3\times 167\\
2005 &= 5\times 401 \\
2006 &= 2\times 17\times 59\\
2007 &= 3^2\times 223\\
2008 &= 2^3\times 251\\
2009 &= 7^2\times 41\\
2010 &= 2\times 3\times 5\times 67\\
2011 &= \mbox{prime} \\
2012 &= 2^2\times 503 \\
2013 &= 3\times 11\times 61\\
2014 &= 3\times 19\times 53\\
2015 &= 5\times 13\times 31\\
2016 &= 2^5\times 3^2\times 7\\
2017 &= \mbox{prime}\\
2018 &= 2\times 1009\\
2019 &= 3\times 673\\
2020 &= 2^2\times 5\times 101\\
2021 &= 43\times 47\\
2022 &= 2\times 3\times 337\\
2023 &= 7\times 17^2\\
2024 &= 2^3\times 11\times 23\\
2025 &= 3^4\times 5^2\\
2026 &= 2\times 1013\\
2027 &= \mbox{prime}\\
2028 &= 2^2\times 3\times 13^2\\
2029 &= \mbox{prime}\\
2030 &= 2\times 5\times 7\times 29\\
2031 &= 3\times 677\\
2032 &= 2^4\times 127\\
2033 &= 19\times 107\\
2034 &= 2\times 3^2\times 113\\
2035 &= 5\times 11\times 37\\
2036 &= 2^2\times 509\\
2037 &= 3\times 7\times 97\\
2038 &= 2\times 1019\\
2039 &= \mbox{prime}\\
2040 &= 2^3\times 3\times 5\times 17\\
2041 &= 13\times 157\\
2042 &= 2\times 1021\\
2043 &= 3^2\times 227\\
2044 &= 2^2\times 7 \times 73\\
2045 &= 5\times 409\\
2046 &= 2\times 3 \times 11\times 31\\
2047 &= 23\times 89\\
2048 &= 2^{11}\\
2049 &= 3\times 683\\
2050 &= 2\times 5^2\times 41\\
2051 &= 7\times 293\\
2052 &= 2^2\times 3^3\times 19\\
2053 &= \mbox{prime}\\
2054 &= 2\times 13\times 79\\
2055 &= 3\times 5\times 137\\
2056 &= 2^3\times 257\\
2057 &= 11^2\times 17\\
2058 &= 2\times 3\times 7^3\\
2059 &= 29\times 71\\
2060 &= 2^2\times 5\times 103\\
2061 &= 3^2\times 229\\
2062 &= 2\times 1031\\
2063 &= \mbox{prime}\\
2064 &= 2^4\times 3\times 43\\
2065 &= 5\times 7\times 59\\
2066 &= 2\times 1033\\
2067 &= 3\times 13\times 53\\
2068 &= 2^2\times 11\times 47\\
2069 &= \mbox{prime}\\
2070 &= 2\times 3^2\times 5\times 23\\
2071 &= 19\times 109\\
2072 &= 2^3\times 7\times 37\\
2073 &= 3\times 691\\
2074 &= 2\times 17 \times 61\\
2075 &= 5^2\times 83\\
2076 &= 2^2\times 3\times 173\\
2077 &= 31\times 67\\
2078 &= 2\times 1039\\
2079 &= 3^3\times 7\times 11\\
2080 &= 2^5\times 5\times 13\\
2081 &= \mbox{prime}\\
2082 &= 2\times 3\times 347\\
2083 &= \mbox{prime}\\
2084 &= 2^2\times 521\\
2085 &= 3\times 5\times 139\\
2086 &= 2\times 7\times 149\\
2087 &= \mbox{prime}\\
2088 &= 2^3\times 3^2\times 29\\
2089 &= \mbox{prime}\\
2090 &= 2\times 5\times 11\times 19\\
2091 &= 3\times 17\times 41\\
2092 &= 2^2\times 523\\
2093 &= 7\times 13\times 23\\
2094 &= 2\times 3\times 349\\
2095 &= 5\times 419\\
2096 &= 2^4\times 131\\
2097 &= 3^2\times 233\\
2098 &= 2\times 1049\\
2099 &= \mbox{prime}\\
2100 &= 2^2\times 3\times 5^2\times 7
\end{array}$