

A302299


Values of A000010(m) such that no solutions share the same prime signature.


1



1, 2, 4, 6, 8, 10, 16, 18, 22, 28, 30, 32, 42, 44, 46, 52, 54, 56, 58, 64, 66, 70, 78, 82, 92, 100, 102, 104, 106, 110, 116, 126, 128, 130, 136, 138, 140, 148, 150, 162, 164, 166, 172, 178, 184, 190, 196, 198, 204, 208, 210, 212, 220, 222, 226, 228, 238, 250, 256, 260
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OFFSET

1,2


LINKS

Table of n, a(n) for n=1..60.
Max Alekseyev, PARI scripts for various problems (see invphi.gp there).


EXAMPLE

1 is a term as the only solutions A000010(1) and A000010(2) do not share the same prime signature.
2 is a term as the only solutions A000010(3), A000010(4), and A000010(6) do not share the same prime signature.
12 is not a term since A000010(21) = A000010(26) are solutions and the prime signature of 21 and 26 is {1,1}.


PROG

(PARI) signa(n) = {my(f = factor(n)); vecsort(f[, 2]); }
isok(n) = {my(vinv = invphi(n), vinvs = vector(#vinv, k, signa(vinv[k]))); return (#vinvs == #Set(vinvs)); }
lista(nn) = {for (n=1, nn, if (istotient(n) && isok(n), print1(n, ", ")); ); } \\ Michel Marcus, Apr 08 2018


CROSSREFS

Complement of A302297 w.r.t. A002202. Cf. A000010.
Sequence in context: A102470 A057195 A088007 * A227992 A175299 A088008
Adjacent sequences: A302296 A302297 A302298 * A302300 A302301 A302302


KEYWORD

nonn


AUTHOR

Torlach Rush, Apr 04 2018


EXTENSIONS

More terms from Michel Marcus, Apr 09 2018


STATUS

approved



