This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A096366 #39 Oct 16 2023 03:34:43
%S A096366 6,12,24,28,30,40,42,56,60,80,84,96,108,135,140,168,200,210,224,234,
%T A096366 240,264,270,273,280,360,380,408,480,496
%N A096366 Known primitive friendly integers.
%C A096366 Friends m and n are primitive friendly iff they have no common prime factor of the same multiplicity.
%C A096366 There may be other primitive friendly integers within the range of those given, but they have yet to be calculated.
%C A096366 All perfect numbers are 2-primitive-friendly (since they are all products of distinct powers of 2 and distinct Mersenne primes). - _Daniel Forgues_, Jun 24 2009
%C A096366 A friendly integer can be both primitive and nonprimitive. For example, consider 30. First, 30 is friendly to 140, but this relation is nonprimitive, because it is 5 times the friendly pair {6, 28}. But then, 30 is also friendly to 6200, and this is a primitive pair (not a scaling of a smaller friendly pair). - _Jeppe Stig Nielsen_, Dec 07 2022
%H A096366 Claude W. Anderson and Dean Hickerson, <a href="https://www.jstor.org/stable/2318325">Problem 6020: Friendly Integers</a>, Amer. Math. Monthly 84 (1977) pp. 65-66.
%H A096366 Dean Hickerson, <a href="https://groups.google.com/g/sci.math/c/9yktrgY5mdY/m/QX3yIfQZgigJ">Friendly number</a>, post to newsgroup sci.math, Jan 31, 2000.
%H A096366 Walter Nissen, <a href="https://listserv.nodak.edu/cgi-bin/wa.exe?A2=NMBRTHRY;560ec1b3.0407">Primitive Friendly Integers and Exclusive Multiples</a>, 2004 post to NMBRTHRY mailing list.
%e A096366 While 6 and 28 are not coprime because they share the common factor 2, the factor 2 appears twice in 28 but only once in 6, so they are in the sequence.
%e A096366 From _Suyash Pandit_, Oct 15 2023: (Start)
%e A096366 280 is primitive friendly with 1553357978368 = 2^8*7^2*19^2*37*73*127;
%e A096366 360 is primitive friendly with 155086041146982400 = 2^20*5^2*7^3*13*31*127*337;
%e A096366 380 is primitive friendly with 31701183232 = 2^8*19^2*37*73*127;
%e A096366 408 is primitive friendly with 874453888 = 2^7*7*11*17^2*307. (End)
%Y A096366 Cf. A014567, A074902, A095738, A095739.
%K A096366 nonn,more
%O A096366 1,1
%A A096366 _Walter Nissen_, Jul 01 2004
%E A096366 Offset 1 from _Michel Marcus_, Dec 13 2022
%E A096366 Terms 280, 360, 380, and 408 from _Suyash Pandit_, Sep 16 2023