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Integers which have more than one coprime factorization into nonprime powers which sum to the same number.
1

%I #9 Sep 07 2013 14:30:02

%S 30030,43890,53130,60060,72930,82110,90090,102102,103740

%N Integers which have more than one coprime factorization into nonprime powers which sum to the same number.

%e The term 30030 is in the list since 30030 = 65*22*21 = 39*55*14 and 65+22+21 = 108 = 39+55+14. The term 53130 = 15*22*161 = 6*77*115 (as well as 15*77*36 and 55*69*14) and 15+22+161 = 198 = 6+77+115 (and 15+77+36 = 55 + 69+ 14 = 138).

%Y Cf. A069064.

%K easy,nonn

%O 1,1

%A Mike Domaratzki (mdomaratzki(AT)alumni.uwaterloo.ca), Aug 12 2002