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 A023201 Sexy primes: numbers n such that n and n + 6 are both prime. 100
 5, 7, 11, 13, 17, 23, 31, 37, 41, 47, 53, 61, 67, 73, 83, 97, 101, 103, 107, 131, 151, 157, 167, 173, 191, 193, 223, 227, 233, 251, 257, 263, 271, 277, 307, 311, 331, 347, 353, 367, 373, 383, 433, 443, 457, 461, 503, 541, 557, 563, 571, 587, 593, 601, 607, 613, 641, 647 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS T. D. Noe, Table of n, a(n) for n = 1..10000 Maxie D. Schmidt, New Congruences and Finite Difference Equations for Generalized Factorial Functions, arXiv:1701.04741 [math.CO], 2017. Eric Weisstein's World of Mathematics, Sexy Primes. Eric Weisstein's World of Mathematics, Twin Primes MAPLE A023201 := proc(n)     option remember;     if n = 1 then         5;     else         for a from procname(n-1)+2 by 2 do             if isprime(a) and isprime(a+6) then                 return a;             end if;         end do:     end if; end proc: # R. J. Mathar, May 28 2013 MATHEMATICA Select[Range[10^2], PrimeQ[ # ]&&PrimeQ[ #+6] &] (* Vladimir Joseph Stephan Orlovsky, Apr 29 2008 *) Select[Prime[Range[120]], PrimeQ[#+6]&] (* Harvey P. Dale, Mar 20 2018 *) PROG (MAGMA) [n: n in [0..40000] | IsPrime(n) and IsPrime(n+6)] // Vincenzo Librandi, Aug 04 2010 (Haskell) a023201 n = a023201_list !! (n-1) a023201_list = filter ((== 1) . a010051 . (+ 6)) a000040_list -- Reinhard Zumkeller, Feb 25 2013 (PARI) is(n)=isprime(n+6)&&isprime(n) \\ Charles R Greathouse IV, Mar 20 2013 CROSSREFS A031924 and A007529 together give A023201. Cf. A046117, A098428, A000040, A010051, A006489 (subsequence). Sequence in context: A040146 A243593 A015914 * A106059 A102386 A038958 Adjacent sequences:  A023198 A023199 A023200 * A023202 A023203 A023204 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified November 19 14:52 EST 2018. Contains 317352 sequences. (Running on oeis4.)