Zsigmondy numbers: Difference between revisions
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2 3 109 37 6841 13 372709 1513 176149 1661 964249309 1801 47834153641 75139 3162961 3077713 115933787267041 30133 5689910849522509 3949201
</pre>
=={{header|SETL}}==
{{trans|Java}}
<syntaxhighlight lang="setl">program zsigmondy;
pairs := [[2, 1], [3, 1], [4, 1], [5, 1], [6, 1], [7, 1],
[3, 2], [5, 3], [7, 3], [7, 5]];
loop for [a, b] in pairs do
print("Zsigmondy(n, " + str a + ", " + str b + ")");
loop for n in [1..18] do
putchar(str zs(n, a, b) + " ");
end loop;
print;
end loop;
proc zs(n,a,b);
dn := a**n - b**n;
divs := divisors(dn);
if #divs = 1 then return dn; end if;
loop for m in [1..n-1] do
dm := a**m - b**m;
divs -:= {d : d in divs | gcd(dm, d) > 1};
end loop;
return max/divs;
end proc;
proc divisors(n);
ds := {d : d in {1..floor(sqrt(n))} | n mod d=0};
return ds + {n div d : d in ds};
end proc;
proc gcd(a,b);
loop while b/=0 do
[a, b] := [b, a mod b];
end loop;
return a;
end proc;
end program;</syntaxhighlight>
{{out}}
<pre>Zsigmondy(n, 2, 1)
1 3 7 5 31 1 127 17 73 11 2047 13 8191 43 151 257 131071 19
Zsigmondy(n, 3, 1)
2 1 13 5 121 7 1093 41 757 61 88573 73 797161 547 4561 3281 64570081 703
Zsigmondy(n, 4, 1)
3 5 7 17 341 13 5461 257 1387 41 1398101 241 22369621 3277 49981 65537 5726623061 4033
Zsigmondy(n, 5, 1)
4 3 31 13 781 7 19531 313 15751 521 12207031 601 305175781 13021 315121 195313 190734863281 5167
Zsigmondy(n, 6, 1)
5 7 43 37 311 31 55987 1297 46873 1111 72559411 1261 2612138803 5713 1406371 1679617 3385331888947 46441
Zsigmondy(n, 7, 1)
6 1 19 25 2801 43 137257 1201 39331 2101 329554457 2353 16148168401 102943 4956001 2882401 38771752331201 117307
Zsigmondy(n, 3, 2)
1 5 19 13 211 7 2059 97 1009 11 175099 61 1586131 463 3571 6817 129009091 577
Zsigmondy(n, 5, 3)
2 1 49 17 1441 19 37969 353 19729 421 24325489 481 609554401 10039 216001 198593 381405156481 12979
Zsigmondy(n, 7, 3)
4 5 79 29 4141 37 205339 1241 127639 341 494287399 2041 24221854021 82573 3628081 2885681 58157596211761 109117
Zsigmondy(n, 7, 5)
2 3 109 37 6841 13 372709 1513 176149 1661 964249309 1801 47834153641 75139 3162961 3077713 115933787267041 30133</pre>
=={{header|Sidef}}==
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