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A116035 Numbers n such that n+phi(n)+sigma(n) is a prime. 1
1, 4, 15, 33, 35, 36, 50, 55, 57, 64, 65, 75, 77, 85, 87, 93, 98, 115, 119, 129, 133, 143, 155, 159, 185, 187, 189, 205, 213, 215, 217, 219, 242, 243, 247, 253, 265, 287, 295, 303, 309, 323, 324, 327, 339, 345, 365, 385, 393, 395, 407, 425, 427, 453, 469, 493 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

EXAMPLE

205+phi(205)+sigma(205) = 617 (prime).

MATHEMATICA

Select[Range[500], PrimeQ[#+EulerPhi[#]+DivisorSigma[1, #]]&] (* Harvey P. Dale, Nov 09 2014 *)

CROSSREFS

Cf. A078762, A068080.

Sequence in context: A188075 A121914 A110341 * A256715 A022265 A120389

Adjacent sequences:  A116032 A116033 A116034 * A116036 A116037 A116038

KEYWORD

nonn

AUTHOR

Giovanni Resta, Feb 13 2006

STATUS

approved

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Last modified August 28 08:35 EDT 2015. Contains 261118 sequences.