A141813 Primitive RMS numbers: RMS numbers which are not the product of two smaller RMS numbers.

1, 7, 41, 239, 3055, 6665, 9545, 9855, 26095, 34697, 155287, 380511, 421655, 627215, 814463, 823537, 1166399, 1204281, 1256489, 1289441, 1815073, 2265353, 2544697, 2627343, 3132935, 3188809, 3762639, 4647985, 4730879, 4963127, 4995569, 5054015, 5143945

Offset: 1

Author

Andrew Weimholt, Jul 07 2008

Keywords

• nonn

Comments

RMS numbers (see A140480) are numbers such that the RMS (Root Mean Square) of their divisors is an integer. If A and B both appear in A140480 and GCD(A,B)=1, then A*B is also in A140480. This sequence contains only those RMS numbers that are not a product of smaller RMS numbers.

Examples

			The RMS Number 287 is not in the sequence because 287=7*41 and both 7 and 41 are RMS numbers.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..2768 (terms < 10^13, first 666 terms from Donovan Johnson)

Crossrefs

Cf. A140480, A141812, A141814, A141815, A141816.