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A067356 Numbers n such that prime(n+3)-(n+3)*tau(n+3)=prime(n)-n*tau(n) where tau(n) is the number of divisors of n A000005(n). 0
172, 206, 435, 542, 551, 575, 611, 626, 718, 759, 903, 955, 1102, 1238, 1495, 1711, 2009, 2379, 2385, 2482, 2572, 2815, 2874, 3018, 3103, 3222, 3225, 3802, 3899, 4055, 4335, 4342, 4430, 4439, 4545, 4682, 5154, 5183, 5467, 5594, 6036, 6058, 6202, 6231 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..44.

MATHEMATICA

ptQ[n_]:=Module[{n3=n+3}, Prime[n3]-(n3)DivisorSigma[0, n3]==Prime[n]- n*DivisorSigma[ 0, n]]; Select[Range[6300], ptQ] (* Harvey P. Dale, Jul 22 2012 *)

CROSSREFS

Cf. A000005.

Sequence in context: A223823 A224555 A146339 * A230371 A056132 A261706

Adjacent sequences:  A067353 A067354 A067355 * A067357 A067358 A067359

KEYWORD

easy,nonn

AUTHOR

Benoit Cloitre, Feb 24 2002

STATUS

approved

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Last modified June 25 10:10 EDT 2019. Contains 324351 sequences. (Running on oeis4.)