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A071116 Least m such that sigma(n + phi(m)) = sigma(phi(m)). +0
1
2049, 81, 383, 67, 7, 25, 11, 103, 17, 271, 29, 159, 1416741, 35 (list; graph; listen)
OFFSET

1,1

COMMENT

a(15), if it exists, is at least 10^8. The sequence then continues 31, 239, 41, 227, 43, 25, 339, 683, 71, 31, 151, 43, 67, 2897, 89, 59, 61, 81, 97, 35, 131, 110039, 461, 69, 103, 31, 123, 87981, 1941, 53, 197, 311, 213, 41, 161, 141, 187, 67, 143, 167, 161, 89, 353, 479, 339, 124809, 339, 61, 143, 79, 233, 6723723, 313, 724747, 97, 113, 211, 863, 281, 131, 343, 121, 569, 59217, 127, 127, 309, 61, 271, 103, 1329, 359, 229, 79, 299, 89, 911, 264263, 575, 14627, 281, 139, 203, 267, 211, ..., . [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 09 2009]

MATHEMATICA

a[n_] := For[m=1, True, m++, p=EulerPhi[m]; If[DivisorSigma[1, n+p]==DivisorSigma[1, p], Return[m]]]

f[n_] := Block[{k = 1}, While[ DivisorSigma[1, n + EulerPhi@k] != DivisorSigma[1, EulerPhi@k], k++ ]; k] [From Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 09 2009]

CROSSREFS

Cf. A000010, A000203.

Sequence in context: A017303 A017423 A017555 this_sequence A060949 A017685 A013959

Adjacent sequences: A071113 A071114 A071115 this_sequence A071117 A071118 A071119

KEYWORD

nonn

AUTHOR

Jason Earls (zevi_35711(AT)yahoo.com), May 27 2002

EXTENSIONS

Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Jun 02 2002

I extended the search from 7*10^7 to 10^8 Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 09 2009

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Last modified December 16 17:18 EST 2009. Contains 170825 sequences.


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