Triplet of three numbers

Triplet of three numbers is a draft programming task. It is not yet considered ready to be promoted as a complete task, for reasons that should be found in its talk page.

Task

Numbers n such that the three numbers n-1, n+3 and n+5 are all prime. where n < 6000

Julia

<lang julia>using Primes

makesprimetriplet(n) = all(isprime, [n - 1, n + 3, n + 5]) println(" N Prime Triplet\n--------------------------") foreach(n -> println(rpad(n, 6), [n - 1, n + 1, n + 5]), filter(makesprimetriplet, 2:6005))

</lang>

Output:

 N       Prime Triplet
--------------------------
8     [7, 9, 13]
14    [13, 15, 19]
38    [37, 39, 43]
68    [67, 69, 73]
98    [97, 99, 103]
104   [103, 105, 109]
194   [193, 195, 199]
224   [223, 225, 229]
278   [277, 279, 283]
308   [307, 309, 313]
458   [457, 459, 463]
614   [613, 615, 619]
824   [823, 825, 829]
854   [853, 855, 859]
878   [877, 879, 883]
1088  [1087, 1089, 1093]
1298  [1297, 1299, 1303]
1424  [1423, 1425, 1429]
1448  [1447, 1449, 1453]
1484  [1483, 1485, 1489]
1664  [1663, 1665, 1669]
1694  [1693, 1695, 1699]
1784  [1783, 1785, 1789]
1868  [1867, 1869, 1873]
1874  [1873, 1875, 1879]
1994  [1993, 1995, 1999]
2084  [2083, 2085, 2089]
2138  [2137, 2139, 2143]
2378  [2377, 2379, 2383]
2684  [2683, 2685, 2689]
2708  [2707, 2709, 2713]
2798  [2797, 2799, 2803]
3164  [3163, 3165, 3169]
3254  [3253, 3255, 3259]
3458  [3457, 3459, 3463]
3464  [3463, 3465, 3469]
3848  [3847, 3849, 3853]
4154  [4153, 4155, 4159]
4514  [4513, 4515, 4519]
4784  [4783, 4785, 4789]
5228  [5227, 5229, 5233]
5414  [5413, 5415, 5419]
5438  [5437, 5439, 5443]
5648  [5647, 5649, 5653]
5654  [5653, 5655, 5659]
5738  [5737, 5739, 5743]

Ring

<lang ring> load "stdlib.ring" see "working..." + nl see "Numbers n such that the three numbers n-1, n+3 and n+5 are all prime:" + nl row = 0

limit = 6000

for n = 2 to limit-2

   bool1 = isprime(n-1)
   bool2 = isprime(n+3)
   bool3 = isprime(n+5)
   bool = bool1 and bool2 and bool3
   if bool
      row = row + 1
      see "" + n + " "
      if row%10 = 0
         see nl
      ok    
   ok

next

see nl + "Found " + row + " primes" + nl see "done..." + nl </lang>

Output:

working...
Numbers n such that the three numbers n-1, n+3 and n+5 are all prime:
8 14 38 68 98 104 194 224 278 308 
458 614 824 854 878 1088 1298 1424 1448 1484 
1664 1694 1784 1868 1874 1994 2084 2138 2378 2684 
2708 2798 3164 3254 3458 3464 3848 4154 4514 4784 
5228 5414 5438 5648 5654 5738
Found 46 primes
done...

Wren

Library: Wren-math

Library: Wren-fmt

<lang ecmascript>import "/math" for Int import "/fmt" for Fmt

var c = Int.primeSieve(6003, false) var numbers = [] System.print("Numbers n < 6000 where: n - 1, n + 3, n + 5 are all primes:") var n = 4 while (n < 6000) {

   if (!c[n-1] && !c[n+3] && !c[n+5]) numbers.add(n)
   n = n + 2

} for (n in numbers) Fmt.print("$,6d => $,6d", n, [n-1, n+3, n+5]) System.print("\nFound %(numbers.count) such numbers.")</lang>

Output:

Numbers n < 6000 where: n - 1, n + 3, n + 5 are all primes:
     8  =>      7     11     13
    14  =>     13     17     19
    38  =>     37     41     43
    68  =>     67     71     73
    98  =>     97    101    103
   104  =>    103    107    109
   194  =>    193    197    199
   224  =>    223    227    229
   278  =>    277    281    283
   308  =>    307    311    313
   458  =>    457    461    463
   614  =>    613    617    619
   824  =>    823    827    829
   854  =>    853    857    859
   878  =>    877    881    883
 1,088  =>  1,087  1,091  1,093
 1,298  =>  1,297  1,301  1,303
 1,424  =>  1,423  1,427  1,429
 1,448  =>  1,447  1,451  1,453
 1,484  =>  1,483  1,487  1,489
 1,664  =>  1,663  1,667  1,669
 1,694  =>  1,693  1,697  1,699
 1,784  =>  1,783  1,787  1,789
 1,868  =>  1,867  1,871  1,873
 1,874  =>  1,873  1,877  1,879
 1,994  =>  1,993  1,997  1,999
 2,084  =>  2,083  2,087  2,089
 2,138  =>  2,137  2,141  2,143
 2,378  =>  2,377  2,381  2,383
 2,684  =>  2,683  2,687  2,689
 2,708  =>  2,707  2,711  2,713
 2,798  =>  2,797  2,801  2,803
 3,164  =>  3,163  3,167  3,169
 3,254  =>  3,253  3,257  3,259
 3,458  =>  3,457  3,461  3,463
 3,464  =>  3,463  3,467  3,469
 3,848  =>  3,847  3,851  3,853
 4,154  =>  4,153  4,157  4,159
 4,514  =>  4,513  4,517  4,519
 4,784  =>  4,783  4,787  4,789
 5,228  =>  5,227  5,231  5,233
 5,414  =>  5,413  5,417  5,419
 5,438  =>  5,437  5,441  5,443
 5,648  =>  5,647  5,651  5,653
 5,654  =>  5,653  5,657  5,659
 5,738  =>  5,737  5,741  5,743

Found 46 such numbers.