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 A153081 Nonnegative numbers n such that 2n + 13 is prime. 22
 0, 2, 3, 5, 8, 9, 12, 14, 15, 17, 20, 23, 24, 27, 29, 30, 33, 35, 38, 42, 44, 45, 47, 48, 50, 57, 59, 62, 63, 68, 69, 72, 75, 77, 80, 83, 84, 89, 90, 92, 93, 99, 105, 107, 108, 110, 113, 114, 119, 122, 125, 128, 129, 132, 134, 135, 140, 147, 149, 150, 152, 159, 162, 167 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Or, (p-13)/2 for primes p >= 13. a(n) = (A000040(n+5) - 13)/2. a(n) = A005097(n+4) - 6. a(n) = A067076(n+4) - 5. a(n) = A089038(n+3) - 4. a(n) = A105760(n+2) - 3. a(n) = A101448(n+1) - 1. a(n) = A089559(n-1) + 1 for n>1. Solutions of the equation (2*n+13)' = 1, where n' is the arithmetic derivative of n. - Paolo P. Lava, Nov 15 2012 LINKS Vincenzo Librandi, Table of n, a(n) for n = 1..1000 EXAMPLE For n = 7, 2*n+13 = 27 is not prime, so 7 is not in the sequence; for n = 8, 2*n+13 = 29 is prime, so 8 is in the sequence. MATHEMATICA (Prime[Range[6, 100]]-13)/2 (* Vladimir Joseph Stephan Orlovsky, Feb 08 2010 *) Select[Range[0, 200], PrimeQ[2#+13]&] (* Harvey P. Dale, Mar 02 2015 *) PROG (MAGMA) [ n: n in [0..200] | IsPrime(2*n+13) ]; (PARI) is(n)=isprime(2*n+13) \\ Charles R Greathouse IV, Jul 12 2016 (Sage) [n for n in (0..200) if is_prime(2*n+13) ] # G. C. Greubel, May 22 2019 (GAP) Filtered([0..200], k-> IsPrime(2*k+13) ) # G. C. Greubel, May 22 2019 CROSSREFS Cf. A000040 (prime numbers). 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), this seq (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), A097932 (k=19). Sequence in context: A013634 A133484 A181155 * A190841 A095952 A286492 Adjacent sequences:  A153078 A153079 A153080 * A153082 A153083 A153084 KEYWORD easy,nonn AUTHOR Vincenzo Librandi, Dec 18 2008 EXTENSIONS Edited and extended by Klaus Brockhaus, Dec 22 2008 Definition clarified by Zak Seidov, Jul 11 2014 STATUS approved

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Last modified April 6 08:53 EDT 2020. Contains 333268 sequences. (Running on oeis4.)