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A097363 Positive integers n such that 2n-13 is prime. 20
8, 9, 10, 12, 13, 15, 16, 18, 21, 22, 25, 27, 28, 30, 33, 36, 37, 40, 42, 43, 46, 48, 51, 55, 57, 58, 60, 61, 63, 70, 72, 75, 76, 81, 82, 85, 88, 90, 93, 96, 97, 102, 103, 105, 106, 112, 118, 120, 121, 123, 126, 127, 132, 135, 138, 141, 142, 145, 147, 148, 153, 160, 162 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Solutions of the equation (2*n-13)'=1, where n' is the arithmetic derivative of n. - Paolo P. Lava, Nov 15 2012

LINKS

Shawn A. Broyles, Table of n, a(n) for n = 1..1000

FORMULA

Half of p+13 where p is a prime greater than 2.

MATHEMATICA

(Prime[Range[2, 100]]+13)/2 (* Vladimir Joseph Stephan Orlovsky, Feb 08 2010 *)

Select[Range[8, 200], PrimeQ[2#-13]&] (* Harvey P. Dale, Apr 26 2013 *)

CROSSREFS

Cf. A000040, A098602.

Numbers n such that 2n+k is prime: A005097 (k=1), A067076 (k=3), A089038 (k=5), A105760 (k=7), A155722 (k=9), A101448 (k=11), A153081 (k=13), A089559 (k=15), A173059 (k=17), A153143 (k=19).

Numbers n such that 2n-k is prime: A006254 (k=1), A098090 (k=3), A089253 (k=5), A089192 (k=7), A097069 (k=9), A097338 (k=11), this sequence (k=13), A097480 (k=15), A098605 (k=17), A097932 (k=19).

Sequence in context: A280290 A138581 A323062 * A152870 A181723 A078893

Adjacent sequences:  A097360 A097361 A097362 * A097364 A097365 A097366

KEYWORD

easy,nonn

AUTHOR

Douglas Winston (douglas.winston(AT)srupc.com), Sep 18 2004

STATUS

approved

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Last modified August 25 13:50 EDT 2019. Contains 326324 sequences. (Running on oeis4.)