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Baltic Way
1999 Baltic Way
17
17
Part of
1999 Baltic Way
Problems
(1)
Adding a to each integer in the sequence gives a prime
Source: Baltic Way 1999
12/23/2010
Does there exist a finite sequence of integers
c
1
,
c
2
,
…
,
c
n
c_1,c_2,\ldots ,c_n
c
1
,
c
2
,
…
,
c
n
such that all the numbers
a
+
c
1
,
a
+
c
2
,
…
,
a
+
c
n
a+c_1,a+c_2,\ldots ,a+c_n
a
+
c
1
,
a
+
c
2
,
…
,
a
+
c
n
are primes for more than one but not infinitely many different integers
a
a
a
?
number theory proposed
number theory