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A255305 The largest number that cannot be written as a sum of squarefree numbers that are the product of n primes. 0

%I #14 Feb 23 2015 00:31:50

%S 6,23,299,3439,51637,894211

%N The largest number that cannot be written as a sum of squarefree numbers that are the product of n primes.

%e a(1)=6 because each number that is 7 or larger can be written as the sum of distinct primes.

%e a(2)=23 because the squarefree numbers less than or equal to 23 that are the product of two primes are {6, 10, 14, 15, 21, 22} and there is no way to add some subset of these together to get 23; on the other hand every number greater than 23 can be so represented, i.e., 24=10+14, 25=10+15, 26=26, 27=6+21, 28=6+22, 30=6+10+14, and so on.

%K nonn,more

%O 1,1

%A _Steve Butler_, Feb 20 2015

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Last modified August 11 13:26 EDT 2024. Contains 375069 sequences. (Running on oeis4.)