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Primitive RMS numbers: RMS numbers which are not the product of two smaller RMS numbers.
5

%I #8 Oct 29 2019 05:32:59

%S 1,7,41,239,3055,6665,9545,9855,26095,34697,155287,380511,421655,

%T 627215,814463,823537,1166399,1204281,1256489,1289441,1815073,2265353,

%U 2544697,2627343,3132935,3188809,3762639,4647985,4730879,4963127,4995569,5054015,5143945

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

%C 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.

%H Giovanni Resta, <a href="/A141813/b141813.txt">Table of n, a(n) for n = 1..2768</a> (terms < 10^13, first 666 terms from Donovan Johnson)

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

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

%K nonn

%O 1,2

%A _Andrew Weimholt_, Jul 07 2008