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Ingy döt Net 2023-09-16 17:28:03 -07:00
parent 5af6d93694
commit 796d366b97
455 changed files with 7413 additions and 1900 deletions
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Task/Almost-prime/Maxima/almost-prime.maxima Normal file
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/* Predicate function that checks k-almost primality for given integer n and parameter k */
k_almost_primep(n,k):=if integerp((n)^(1/k)) and primep((n)^(1/k)) then true else
lambda([x],(length(ifactors(x))=k and unique(map(second,ifactors(x)))=[1]) or (length(ifactors(x))<k and apply("+",map(second,ifactors(x)))=k))(n)$
/* Function that given a parameter k1 returns the first len k1-almost primes */
k_almost_prime_count(k1,len):=block(
count:len,
while length(sublist(makelist(i,i,count),lambda([x],k_almost_primep(x,k1))))<len do (count:count+1),
sublist(makelist(i,i,count),lambda([x],k_almost_primep(x,k1))))$
/* Test cases */
k_almost_prime_count(1,10);
k_almost_prime_count(2,10);
k_almost_prime_count(3,10);
k_almost_prime_count(4,10);
k_almost_prime_count(5,10);