Smallest k such that the partial sums of the divisors of k (in decreasing order) generate n primes.

Terms

a(0) =1a(1) =3a(2) =2a(3) =140a(4) =560a(5) =2160a(6) =2772a(7) =2016a(8) =16830a(9) =5148a(10) =20592a(11) =10640a(12) =69300a(13) =31200a(14) =156240a(15) =177840a(16) =288288a(17) =143520a(18) =927360a(19) =1203840a(20) =752400a(21) =1242360a(22) =2702700a(23) =2948400a(24) =3996720a(25) =1884960a(26) =5896800a(27) =2692800a(28) =1244880a(29) =15800400