login
Primes of the form 10n^2 - 90n + 163.
1

%I #16 Sep 08 2022 08:46:11

%S 23,83,163,263,383,523,683,863,1063,1283,1523,1783,2063,2683,3023,

%T 4583,5023,5483,6983,7523,8663,9883,11863,14783,16363,17183,19763,

%U 20663,25463,29663,30763,31883,33023,34183,35363,36563,37783,39023,40283,42863,45523,49663,56963,61583,64763

%N Primes of the form 10n^2 - 90n + 163.

%H Charles R Greathouse IV, <a href="/A256376/b256376.txt">Table of n, a(n) for n = 1..10000</a>

%t Select[Table[10 k^2 - 90 k + 163, {k, 7, 600}], PrimeQ]

%o (Magma) [ a: k in [7..200] | IsPrime(a) where a is 10*k^2-90*k+163];

%o (PARI) select(isprime, vector(100,n,10*n^2 + 30*n - 17)) \\ _Charles R Greathouse IV_, Mar 27 2015

%K nonn,easy

%O 1,1

%A _Avi Friedlich_, Mar 27 2015

%E Corrected by _Vincenzo Librandi_, Mar 27 2015