# Express 2014 as a sum of two prime numbers

2
by JeromAshly

2015-09-19T10:07:21+08:00

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Divide 2014 by 2.
= 1007

1007 is not a prime number, it is divisible by 19.

We shall find a prime number less than 2014, then find if the other addend of it to that of the desired sum is also a prime number.

1367 is a prime number.
2014 - 1367 = 647
1367 (Prime) + 647 (Prime) = 2014!

So therefore, the addends are 1367 and 647, which are prime numbers and sums up into 2014.
2015-09-19T18:53:33+08:00

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Here are the ones I found:
2011 + 3
2003 + 11
1997 + 17
1973 + 41
1931 + 83
1913 + 101
1907 + 107
1901 + 113
1877 + 137
1787 + 227
1733 + 281