A364565 Numbers k at which point A364557 (the Möbius transform of A005941) is equal to A000010 (Euler phi function).

1, 2, 3, 4, 5, 6, 8, 10, 12, 16, 20, 24, 32, 40, 48, 64, 80, 85, 96, 128, 160, 170, 192, 256, 320, 340, 384, 512, 640, 680, 768, 1024, 1280, 1360, 1536, 2048, 2560, 2720, 3072, 4096, 5120, 5440, 6144, 8192, 10240, 10880, 12288, 16384, 20480, 21760, 24576, 32768, 40960, 43520, 49152, 65536, 81920, 87040, 98304, 131072

Offset: 1

Author

Antti Karttunen, Jul 29 2023

Keywords

• nonn

Comments

Question: Are there any other odd terms apart from 1, 3, 5, 85?

Crossrefs

Positions of 0's in A364558.

Cf. A000010, A029747, A364557, A364566.

Programs

PARI

A364557(n) = if(1==n, 1, 2^(primepi(vecmax(factor(n)[, 1]))+(bigomega(n)-omega(n))-1));
isA364565(n) = (A364557(n)==eulerphi(n));