A365423 Odd numbers k for which k and A163511(k) have the same prime signature.

3, 7, 31, 45, 55, 111, 119, 123, 127, 175, 207, 247, 253, 447, 567, 895, 927, 945, 957, 959, 987, 1005, 1007, 1017, 1503, 1519, 1887, 1919, 1983, 2013, 2023, 2031, 2037, 2045, 3325, 3567, 3835, 3839, 3927, 3965, 4015, 4025, 4029, 4031, 4063, 4085, 4087, 5887, 7035, 7095, 7119, 7163, 7167, 7679, 7791, 7839, 7917, 7931

Offset

1,1

Comments

See comments in A364297.

Links

Table of n, a(n) for n=1..58.

Prog

(PARI)
A046523(n) = { my(f=vecsort(factor(n)[, 2], , 4), p); prod(i=1, #f, (p=nextprime(p+1))^f[i]); };
A163511(n) = if(!n, 1, my(p=2, t=1); while(n>1, if(!(n%2), (t*=p), p=nextprime(1+p)); n >>= 1); (t*p));
A365421(n) = (A046523(A163511(n))==A046523(n));
isA365423(n) = ((n%2)&&A365421(n));

Crossrefs

Odd terms in A365422.

Cf. A000668 (subsequence), A046523, A163511, A278531, A364297, A365421.

Sequence in context: A034915 A145479 A077315 * A080168 A183075 A292890

Adjacent sequences: A365420 A365421 A365422 * A365424 A365425 A365426

Keyword

nonn

Author

Antti Karttunen, Sep 04 2023

Status

approved