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Revision History for A055703 (Underlined text is an addition; strikethrough text is a deletion.)

Showing all changes.
A055703 Numbers n such that n | sigma_9(n) - phi(n)^9.
(history; published version)
#10 by Joerg Arndt at Sun Mar 02 12:35:51 EST 2014
STATUS

proposed

approved

#9 by Michel Marcus at Sun Mar 02 11:59:03 EST 2014
STATUS

editing

proposed

#8 by Michel Marcus at Sun Mar 02 11:58:55 EST 2014
NAME

Numbers n such that n | Sigmasigma_9(n) - Phiphi(n)^9.

STATUS

proposed

editing

#7 by Michel Marcus at Sun Mar 02 10:53:41 EST 2014
STATUS

editing

proposed

#6 by Michel Marcus at Sun Mar 02 10:53:32 EST 2014
NAME

Numbers n such that n | Sigma_9(n) + ) - Phi(n)^9.

COMMENTS

sigma_9(n) is the sum of the 9th powers of the divisors of n. (A013957).

MATHEMATICA

Do[If[Mod[DivisorSigma[9, n]+]-EulerPhi[n]^9, n]==0, Print[n]], {n, 1, 10^5}]

PROG

(PARI) isok(n) = !((sigma(n, 9) - eulerphi(n)^9) % n); \\ Michel Marcus, Mar 02 2014

EXTENSIONS

Definition corrected by Michel Marcus, Mar 02 2014

STATUS

approved

editing

#5 by Russ Cox at Fri Mar 30 17:30:21 EDT 2012
AUTHOR

_Robert G. Wilson v (rgwv(AT)rgwv.com), _, Jun 09 2000

Discussion
Fri Mar 30 17:30
OEIS Server: https://oeis.org/edit/global/156
#4 by N. J. A. Sloane at Fri Feb 24 03:00:00 EST 2006
MATHEMATICA

Do[If[Mod[DivisorSigma[9, , n]+EulerPhi[n]^9, , n]==0, , Print[n]], {]], {n, , 1, , 10^5}]

KEYWORD

nonn,new

nonn

#3 by N. J. A. Sloane at Sat Jun 12 03:00:00 EDT 2004
NAME

Numbers n such that n | Sigma_9(n) + Phi(n)^9.

KEYWORD

nonn,new

nonn

#2 by N. J. A. Sloane at Fri May 16 03:00:00 EDT 2003
COMMENTS

sigma_9(n) is the sum of the 9th powers of the divisors of n.

KEYWORD

nonn,new

nonn

AUTHOR

Robert G. Wilson v (rgwv(AT)rgwv@kspaint.com), Jun 09 2000

#1 by N. J. A. Sloane at Thu Jun 15 03:00:00 EDT 2000
NAME

n | Sigma_9(n) + Phi(n)^9.

DATA

1, 2, 12, 54, 76, 90, 216, 423, 514, 531, 621, 2166, 2241, 2772, 2976, 4752, 5154, 5400, 5481, 6264, 7290, 7344, 9018, 9144, 9470, 9555, 14094, 14904, 19494, 21222, 23780, 25848, 28323, 34830, 34911, 38220, 40122, 48768, 49079, 55782, 59400

OFFSET

1,2

MATHEMATICA

Do[If[Mod[DivisorSigma[9, n]+EulerPhi[n]^9, n]==0, Print[n]], {n, 1, 10^5}]

KEYWORD

nonn

AUTHOR

Robert G. Wilson v (rgwv@kspaint.com), Jun 09 2000

STATUS

approved

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Last modified August 30 07:09 EDT 2024. Contains 375532 sequences. (Running on oeis4.)