Numbers k with a record number of divisors d < sqrt(k) such that d + k/d is prime.

Terms

a(0) =1a(1) =2a(2) =6a(3) =30a(4) =210a(5) =2310a(6) =3570a(7) =4830a(8) =11550a(9) =30030a(10) =43890a(11) =111930a(12) =131670a(13) =510510a(14) =690690a(15) =870870a(16) =1021020a(17) =2459730a(18) =9699690a(19) =13123110a(20) =17160990a(21) =40750710a(22) =146006070a(23) =223092870a(24) =340510170a(25) =358888530a(26) =688677990a(27) =1462190730a(28) =2445553110a(29) =2911018110