Rebol3 Code Examplex
Additive primes
Identify primes whose digit sums are also prime.
Rebol [
title: "Rosetta code: Additive primes"
file: %Additive_primes.r3
url: https://rosettacode.org/wiki/Additive_primes
note: "Based on Red language solution"
]
primes: function [n [integer!]][
;; See: https://rosettacode.org/wiki/Sieve_of_Eratosthenes#Rebol
poke prim: make bitset! n 1 true
r: 2 while [r * r <= n][repeat q n / r - 1 [poke prim q + 1 * r true]
until [not pick prim r: r + 1]]
collect [repeat i n [unless prim/:i [keep i]]]
]
;; Compute the digit sum (cross-sum) of an integer n
cross-sum: function [n][
out: 0 ;; accumulator for sum of digits
foreach m form n [ ;; iterate over the characters of n's string form
out: out - 48 + m ;; convert char to integer, add to out
]
out
]
;; Return all additive primes <= n:
;; A prime p is "additive" if its digit-sum is also prime.
additive-primes: function [n][
collect [
foreach p ps: primes n [ ;; generate primes up to n and iterate over them
if find ps cross-sum p [ ;; check if digit-sum of p is itself in the prime set
keep p ;; keep p if digit-sum is prime
]
]
]
]
;; Generate additive primes up to 500
result: additive-primes 500
;; Format nicely by rows of 10 (with newlines)
print [length? result "additive primes < 500:"]
forall result [
prin pad result/1 -4
if zero? ((index? result) % 10) [print ""]
]
print ""Output:
54 additive primes < 500:
2 3 5 7 11 23 29 41 43 47
61 67 83 89 101 113 131 137 139 151
157 173 179 191 193 197 199 223 227 229
241 263 269 281 283 311 313 317 331 337
353 359 373 379 397 401 409 421 443 449
461 463 467 487