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2011 Silk Road
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2011 Silk Road
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(1)
infinite primes of form m^2+mn+n^2 whereas m,n integers
Source: SRMC 2011
9/2/2018
Prove that there are infinitely many primes representable in the form
m
2
+
m
n
+
n
2
m^2+mn+n^2
m
2
+
mn
+
n
2
for some integers
m
,
n
m,n
m
,
n
.
number theory
primes
representation