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PEN P Problems
41
41
Part of
PEN P Problems
Problems
(1)
P 41
Source:
5/25/2007
The famous conjecture of Goldbach is the assertion that every even integer greater than
2
2
2
is the sum of two primes. Except
2
2
2
,
4
4
4
, and
6
6
6
, every even integer is a sum of two positive composite integers:
n
=
4
+
(
n
ā
4
)
n=4+(n-4)
n
=
4
+
(
n
ā
4
)
. What is the largest positive even integer that is not a sum of two odd composite integers?
Additive Number Theory