MathDB
Problems
Contests
National and Regional Contests
Latvia Contests
Latvia BW TST
2015 Latvia Baltic Way TST
13
13
Part of
2015 Latvia Baltic Way TST
Problems
(1)
[an+b] is prime for all natural n
Source: 2015 Latvia BW TST P13
12/16/2022
Are there positive real numbers
a
a
a
and
b
b
b
such that
[
a
n
+
b
]
[an+b]
[
an
+
b
]
is prime for all natural values of
n
n
n
?
[
x
]
[x]
[
x
]
denotes the integer part of the number
x
x
x
, the largest integer that does not exceed
x
x
x
.
floor function
number theory
prime