A191216 Arithmetic derivative of prime(n) * prime(n+1) * prime(n+2) * prime(n+3) * prime(n+4) * prime(n+5).

361, 230456, 1005768, 3462570, 11006128, 25925028, 61456764, 127697940, 249379116, 448408452, 740850012, 1263239320, 1914568816, 2884222410, 4371191782, 6287341056, 8758591370, 11640682466, 15938770638, 21721208748, 29153150298, 38784336168, 49888704100, 62506263054, 76188213990, 95511276660, 118760260290, 150724895476, 187405610004, 243040520764

Offset: 1

Author

Giorgio Balzarotti, May 26 2011

Keywords

• nonn

Links

• Extension to 5 primes of concepts in A001043 A127489 A127349 A127345

Crossrefs

Cf. A001043, A127489, A127349, A127345.

Programs

Maple

der:=n->n*add(op(2,p)/op(1,p),p=ifactors(n)[2]);
seq(dif(ithprime(i)*ithprime(i+1)*ithprime(i+2)*ithprime(i+3)*ithprime(i+4)*ithprime(i+5)),i=1..30);

Formula

a(n) = (prime(n) * prime(n+1) * prime(n+2) * prime(n+3) * prime(n+4) * prime(n+5))' where f' is the arithmetic derivative (see A003415) of f.