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A097932 Positive integers n such that 2n-19 is prime. 22
11, 12, 13, 15, 16, 18, 19, 21, 24, 25, 28, 30, 31, 33, 36, 39, 40, 43, 45, 46, 49, 51, 54, 58, 60, 61, 63, 64, 66, 73, 75, 78, 79, 84, 85, 88, 91, 93, 96, 99, 100, 105, 106, 108, 109, 115, 121, 123, 124, 126, 129, 130, 135, 138, 141, 144, 145, 148, 150, 151, 156, 163 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Solutions of the equation (2*n-19)'=1, where n' is the arithmetic derivative of n. - Paolo P. Lava, Nov 15 2012

LINKS

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

FORMULA

Half of p+19 where p is a prime greater than 2.

MATHEMATICA

(Prime[Range[2, 100]]+19)/2 (* Vladimir Joseph Stephan Orlovsky, Feb 08 2010 *)

Select[Range[10, 200], PrimeQ[2#-19]&] (* Harvey P. Dale, May 08 2017 *)

CROSSREFS

Cf. A000040.

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), A097363 (k=13), A097480 (k=15), A098605 (k=17), this sequence (k=19).

Sequence in context: A192271 A214423 A185300 * A031300 A111019 A306583

Adjacent sequences:  A097929 A097930 A097931 * A097933 A097934 A097935

KEYWORD

easy,nonn

AUTHOR

Douglas Winston (douglas.winston(AT)srupc.com), Sep 21 2004

STATUS

approved

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Last modified August 21 05:37 EDT 2019. Contains 326162 sequences. (Running on oeis4.)