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Putnam
1981 Putnam
B3
B3
Part of
1981 Putnam
Problems
(1)
p|n^2 +3, p|k^2 +3
Source:
11/21/2020
Prove that there are infinitely many positive
n
n
n
that for all prime divisors
p
p
p
of
n
2
+
3
,
∃
0
≤
k
≤
n
n^2 + 3, \exists 0 \leq k \leq \sqrt{n}
n
2
+
3
,
∃0
≤
k
≤
n
and
p
∣
k
2
+
3
p \mid k^2+3
p
∣
k
2
+
3
prime numbers
number theory