Quadrat special primes: Difference between revisions

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(→‎{{header|Ring}}: cleaned up columns, added additional degrees)
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=={{header|Phix}}==
=={{header|Phix}}==
<!--<lang Phix>-->
<!--<lang Phix>-->
<span style="color: #004080;">atom</span> <span style="color: #000000;">N</span><span style="color: #0000FF;">=</span><span style="color: #000000;">16000</span>
<span style="color: #008080;">constant</span> <span style="color: #000000;">desc</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">split</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"linear quadratic cubic quartic quintic sextic septic octic nonic decic"</span><span style="color: #0000FF;">),</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">desc</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">split</span><span style="color: #0000FF;">(</span><span style="color: #008000;">"linear quadratic cubic quartic quintic sextic septic"</span><span style="color: #0000FF;">)</span>
<span style="color: #000000;">limits</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">16000</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">15000</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">14e9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">8025e5</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">25e12</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">195e12</span><span style="color: #0000FF;">,</span><span style="color: #000000;">75e11</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">3e9</span><span style="color: #0000FF;">,</span> <span style="color: #000000;">11e8</span><span style="color: #0000FF;">}</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">=</span><span style="color: #000000;">2</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">desc</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">p</span><span style="color: #0000FF;">=</span><span style="color: #000000;">2</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">desc</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">lastn</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">ceil</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">N</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">/</span><span style="color: #000000;">p</span><span style="color: #0000FF;">))</span>
<span style="color: #004080;">atom</span> <span style="color: #000000;">N</span> <span style="color: #0000FF;">=</span> <span style="color: #000000;">limits</span><span style="color: #0000FF;">[</span><span style="color: #000000;">p</span><span style="color: #0000FF;">],</span> <span style="color: #000000;">lastn</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">ceil</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">power</span><span style="color: #0000FF;">(</span><span style="color: #000000;">N</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">/</span><span style="color: #000000;">p</span><span style="color: #0000FF;">))</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">}</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">res</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{</span><span style="color: #000000;">2</span><span style="color: #0000FF;">}</span>
<span style="color: #004080;">bool</span> <span style="color: #000000;">done</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">false</span>
<span style="color: #004080;">bool</span> <span style="color: #000000;">done</span> <span style="color: #0000FF;">=</span> <span style="color: #004600;">false</span>
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<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">while</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">r</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">join_by</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">,{{</span><span style="color: #008000;">"%,6d"</span><span style="color: #0000FF;">},</span><span style="color: #000000;">res</span><span style="color: #0000FF;">}),</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p</span><span style="color: #0000FF;">+</span><span style="color: #000000;">5</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">string</span> <span style="color: #000000;">r</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">join_by</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">apply</span><span style="color: #0000FF;">(</span><span style="color: #004600;">true</span><span style="color: #0000FF;">,</span><span style="color: #7060A8;">sprintf</span><span style="color: #0000FF;">,{{</span><span style="color: #008000;">"%,6d"</span><span style="color: #0000FF;">},</span><span style="color: #000000;">res</span><span style="color: #0000FF;">}),</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">p</span><span style="color: #0000FF;">+</span><span style="color: #000000;">5</span><span style="color: #0000FF;">)</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;">"Found %d %s special primes &lt; %,d:\n%s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">),</span><span style="color: #000000;">desc</span><span style="color: #0000FF;">[</span><span style="color: #000000;">p</span><span style="color: #0000FF;">],</span><span style="color: #000000;">N</span><span style="color: #0000FF;">,</span><span style="color: #000000;">r</span><span style="color: #0000FF;">})</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;">"Found %d %s special primes &lt; %g:\n%s\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">res</span><span style="color: #0000FF;">),</span><span style="color: #000000;">desc</span><span style="color: #0000FF;">[</span><span style="color: #000000;">p</span><span style="color: #0000FF;">],</span><span style="color: #000000;">N</span><span style="color: #0000FF;">,</span><span style="color: #000000;">r</span><span style="color: #0000FF;">})</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--</lang>-->
<!--</lang>-->
{{out}}
{{out}}
<pre>
<pre>
Found 49 quadratic special primes < 16,000:
Found 49 quadratic special primes < 16000:
2 3 7 11 47 83 227
2 3 7 11 47 83 227
263 587 911 947 983 1,019 1,163
263 587 911 947 983 1,019 1,163
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12,791 13,367 13,691 14,591 14,627 14,771 15,671
12,791 13,367 13,691 14,591 14,627 14,771 15,671


Found 23 cubic special primes < 16,000:
Found 23 cubic special primes < 15000:
2 3 11 19 83 1,811 2,027 2,243
2 3 11 19 83 1,811 2,027 2,243
2,251 2,467 2,531 2,539 3,539 3,547 4,547 5,059
2,251 2,467 2,531 2,539 3,539 3,547 4,547 5,059
10,891 12,619 13,619 13,627 13,691 13,907 14,419
10,891 12,619 13,619 13,627 13,691 13,907 14,419


Found 3 quartic special primes < 16,000:
Found 9 quartic special primes < 1.4e+10:
2 3 19
2 3 19 160,019 1,049,920,019 1,050,730,019 1,051,540,019 12,910,750,019 13,960,510,019


Found 2 quintic special primes < 16,000:
Found 9 quintic special primes < 8.025e+8:
2 3 32,771 32,803 33,827 41,603 579,427 778,179,427 802,479,427
2 3


Found 4 sextic special primes < 16,000:
Found 6 sextic special primes < 2.5e+13:
2 3 67 131
2 3 67 131 2,176,782,467 22,485,250,805,891


Found 3 septic special primes < 16,000:
Found 7 septic special primes < 1.95e+14:
2 3 131
2 3 131 194,871,710,000,131 194,893,580,000,131 194,893,580,280,067 194,971,944,444,163

Found 4 octic special primes < 7.5e+12:
2 3 65,539 6,553,600,065,539

Found 6 nonic special primes < 3e+9:
2 3 262,147 10,339,843 20,417,539 1,020,417,539

Found 4 decic special primes < 1.1e+9:
2 3 1,073,741,827 1,073,742,851
</pre>
</pre>


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