Wieferich primes: Difference between revisions
Content added Content deleted
(Added Rust solution) |
(→{{header|Phix}}: added alternative, theoretically much faster) |
||
Line 189: | Line 189: | ||
=={{header|Phix}}== |
=={{header|Phix}}== |
||
<!--<lang Phix>( |
<!--<lang Phix>(phixonline)--> |
||
⚫ | |||
<span style="color: # |
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span> |
||
<span style="color: #008080;"> |
<span style="color: #008080;">include</span> <span style="color: #004080;">mpfr</span><span style="color: #0000FF;">.</span><span style="color: #000000;">e</span> |
||
<span style="color: #008080;">function</span> <span style="color: #000000;">weiferich</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">)</span> |
|||
<span style="color: # |
<span style="color: #004080;">mpz</span> <span style="color: #000000;">p2pm1m1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">()</span> |
||
<span style="color: #7060A8;">mpz_ui_pow_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p2pm1m1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">2</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> |
|||
<span style="color: #7060A8;">mpz_sub_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p2pm1m1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p2pm1m1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span> |
|||
<span style="color: #008080;">return</span> <span style="color: #7060A8;">mpz_fdiv_q_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">p2pm1m1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p2pm1m1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p</span><span style="color: #0000FF;">*</span><span style="color: #000000;">p</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> |
|||
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
||
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">" |
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Weiferich primes less than 5000: %V\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">filter</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">get_primes_le</span><span style="color: #0000FF;">(</span><span style="color: #000000;">5000</span><span style="color: #0000FF;">),</span><span style="color: #000000;">weiferich</span><span style="color: #0000FF;">)})</span> |
||
<!--</lang>--> |
<!--</lang>--> |
||
{{out}} |
{{out}} |
||
<pre> |
<pre> |
||
Wieferich primes less than 5000: {1093,3511} |
Wieferich primes less than 5000: {1093,3511} |
||
</pre> |
</pre> |
||
alternative (same results), should be significantly faster, in the (largely pointless!) hunt for larger numbers. |
|||
<!--<lang Phix>(phixonline)--> |
|||
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span> |
|||
⚫ | |||
<span style="color: #004080;">mpz</span> <span style="color: #000000;">base</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_init</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">),</span> |
|||
<span style="color: #0000FF;">{</span><span style="color: #000000;">modulus</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">z</span><span style="color: #0000FF;">}</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">mpz_inits</span><span style="color: #0000FF;">(</span><span style="color: #000000;">2</span><span style="color: #0000FF;">)</span> |
|||
<span style="color: #008080;">function</span> <span style="color: #000000;">weiferich</span><span style="color: #0000FF;">(</span><span style="color: #004080;">integer</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">)</span> |
|||
<span style="color: #7060A8;">mpz_set_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">modulus</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p</span><span style="color: #0000FF;">*</span><span style="color: #000000;">p</span><span style="color: #0000FF;">)</span> |
|||
<span style="color: #7060A8;">mpz_powm_ui</span><span style="color: #0000FF;">(</span><span style="color: #000000;">z</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">base</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">-</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">modulus</span><span style="color: #0000FF;">)</span> |
|||
<span style="color: #008080;">return</span> <span style="color: #7060A8;">mpz_cmp_si</span><span style="color: #0000FF;">(</span><span style="color: #000000;">z</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> |
|||
<span style="color: #008080;">end</span> <span style="color: #008080;">function</span> |
|||
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Weiferich primes less than 5000: %V\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">filter</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">get_primes_le</span><span style="color: #0000FF;">(</span><span style="color: #000000;">5000</span><span style="color: #0000FF;">),</span><span style="color: #000000;">weiferich</span><span style="color: #0000FF;">)})</span> |
|||
<!--</lang>--> |
|||
=={{header|Raku}}== |
=={{header|Raku}}== |