Sum of primes in odd positions is prime

my @odd  = grep { ++$ !%% 2 }, grep &is-prime, 2 ..^ 1000;
my @sums = [\+] @odd;

say .fmt('%5d') for grep { .[2].is-prime }, ( (1,3…*) Z @odd Z @sums );

Output:

    1     2     2
    3     5     7
   11    31    89
   27   103   659
   35   149  1181
   67   331  5021
   91   467  9923
   95   499 10909
   99   523 11941
  119   653 17959
  143   823 26879