Concatenate two primes is also prime: Difference between revisions
Concatenate two primes is also prime (view source)
Revision as of 04:44, 29 December 2022
, 1 year agoAdded Quackery.
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<pre>
Found 128 such primes: {23,37,53,73,113,"...",8941,8971,9719,9743,9767}
</pre>
=={{header|Quackery}}==
<code>isprime</code> is defined at [[Primality by trial division#Quackery]].
<syntaxhighlight lang="Quackery"> [ [] swap
[ base share /mod
rot join swap
dup 0 = until ]
drop ] is digits ( n --> [ )
[ 0 swap witheach
[ swap 10 * + ] ] is digits->n ( [ --> n )
[ behead dup dip nested rot
witheach
[ tuck != if
[ dup dip
[ nested join ] ] ]
drop ] is -duplicates ( [ --> [ )
[] dup temp put
100 times
[ i^ isprime if
[ i^ digits
nested join ] ]
dup witheach
[ over witheach
[ over join
digits->n
dup isprime iff
[ temp take
join
temp put ]
else drop ]
drop ]
drop
temp take
sort -duplicates
[ dup [] != while
10 split swap
witheach
[ dup 1000 < if sp
dup 100 < if sp
echo sp ]
cr
again ]
drop</syntaxhighlight>
{{out}}
<pre> 23 37 53 73 113 137 173 193 197 211
223 229 233 241 271 283 293 311 313 317
331 337 347 353 359 367 373 379 383 389
397 433 523 541 547 571 593 613 617 673
677 719 733 743 761 773 797 977 1117 1123
1129 1153 1171 1319 1361 1367 1373 1723 1741 1747
1753 1759 1783 1789 1913 1931 1973 1979 1997 2311
2341 2347 2371 2383 2389 2917 2953 2971 3119 3137
3167 3719 3761 3767 3779 3797 4111 4129 4153 4159
4337 4373 4397 4723 4729 4759 4783 4789 5323 5347
5923 5953 6113 6131 6143 6173 6197 6719 6737 6761
6779 7129 7159 7331 7919 7937 8311 8317 8329 8353
8389 8923 8929 8941 8971 9719 9743 9767
</pre>
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