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Numbers whose count of divisors is prime: Difference between revisions
Numbers whose count of divisors is prime (view source)
Revision as of 12:37, 28 December 2021
, 2 years ago→{{header|Julia}}
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52441 54289 57121 58081 59049 63001 65536 66049 69169 72361
73441 76729 78961 80089 83521 85849 94249 96721 97969
</pre>
=={{header|Mathematica}} / {{header|Wolfram Language}}==
<lang Mathematica>max = 100000;
maxPrime = NextPrime[Sqrt@max, -1];
maxPower = NextPrime[Log[2, max], -1];
base = NestWhileList[NextPrime, 2, # < maxPrime &];
g = NestWhileList[NextPrime, 3, # < maxPower &] - 1;
ans = Sort@Select[Flatten@Table[base^n, {n, g}], # < max &];
Labeled[Partition[Select[ans, # < 1000 &], UpTo[8]] //
TableForm, "Numbers up to 1000 with prime divisor counts:", Top]
Labeled[Partition[ans, UpTo[8]] //
TableForm, "Numbers up to 100,000 with prime divisor counts:", Top]</lang>
{{out}}<pre>
Numbers up to 1000 with prime divisor counts:
4 9 16 25 49 64 81 121
169 289 361 529 625 729 841 961
Numbers up to 100,000 with prime divisor counts:
4 9 16 25 49 64 81 121
169 289 361 529 625 729 841 961
1024 1369 1681 1849 2209 2401 2809 3481
3721 4096 4489 5041 5329 6241 6889 7921
9409 10201 10609 11449 11881 12769 14641 15625
16129 17161 18769 19321 22201 22801 24649 26569
27889 28561 29929 32041 32761 36481 37249 38809
39601 44521 49729 51529 52441 54289 57121 58081
59049 63001 66049 69169 72361 73441 76729 78961
80089 83521 85849 94249 96721 97969
</pre>
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