A364545 Odd numbers k such that k divides A005940(k).

1, 3, 5, 125, 245, 375, 715, 845, 847, 1215, 2873, 11583, 12635, 21879, 24255, 31213, 33495, 36125, 42875, 48125, 48841, 71269, 100793, 102245, 104907, 157035, 173641, 191607, 206045, 240787, 244205, 251459, 302575, 313937, 351509, 359513, 375687, 384475, 388531, 417605, 419957, 444889, 468999, 521703, 586177, 635375

Offset: 1

Author

Antti Karttunen, Jul 28 2023

Keywords

• nonn

Crossrefs

Odd terms in A364544.

Cf. A005940, A364501.

Cf. also A364495, A364547.

Programs

Mathematica

nn = 2^20; Array[Set[a[#], #] &, 2]; Do[If[EvenQ[n], Set[a[n], 2 a[n/2]], Set[a[n], Times @@ Power @@@ Map[{Prime[PrimePi[#1] + 1], #2} & @@ # &, FactorInteger[a[(n + 1)/2]]]]], {n, 3, nn}]; Select[Range[1, nn, 2], Divisible[a[#], #] &] (* Michael De Vlieger, Jul 28 2023 *)

PARI

A005940(n) = { my(p=2, t=1); n--; until(!n\=2, if((n%2), (t*=p), p=nextprime(p+1))); t };
isA364545(n) = ((n%2)&&!(A005940(n)%n));