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 A005381 Numbers n such that n and n-1 are composite. (Formerly M4598) 28
 9, 10, 15, 16, 21, 22, 25, 26, 27, 28, 33, 34, 35, 36, 39, 40, 45, 46, 49, 50, 51, 52, 55, 56, 57, 58, 63, 64, 65, 66, 69, 70, 75, 76, 77, 78, 81, 82, 85, 86, 87, 88, 91, 92, 93, 94, 95, 96, 99, 100, 105, 106, 111, 112, 115, 116, 117, 118, 119, 120, 121 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Position where the composites first outnumber the primes by n, among the first natural numbers. - Lekraj Beedassy, Jul 11 2006 REFERENCES M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards Applied Math. Series 55, 1964 (and various reprintings), p. 844. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS J. Stauduhar, Table of n, a(n) for n = 1..10000 M. Abramowitz and I. A. Stegun, eds., Handbook of Mathematical Functions, National Bureau of Standards, Applied Math. Series 55, Tenth Printing, 1972 [alternative scanned copy]. R. P. Boas & N. J. A. Sloane, Correspondence, 1974 B. W. J. Irwin, Recursive Modular Conjecture for pi(n). FORMULA Conjecture: pi(n)=Sum_{k=1..n} k mod a(m) mod a(m-1) ... mod a(1) mod 2, for all values 12, isprime(n)=(n mod x) mod 2, where x is the largest a(n)<=n. - Benedict W. J. Irwin, May 06 2016 MAPLE isA005381 := proc(n)     not isprime(n) and not isprime(n-1) ; end proc: A005381 := proc(n)     local a;     option remember;     if n = 1 then         9;     else         for a from procname(n-1)+1 do             if isA005381(a) then                 return a;             end if;         end do:     end if; end proc: # R. J. Mathar, Jul 14 2015 MATHEMATICA Select[Range[2, 200], ! PrimeQ[# - 1] && ! PrimeQ[#] &] PROG (PARI) is(n)=!isprime(n)&&!isprime(n-1) \\ M. F. Hasler, Jan 07 2019 CROSSREFS Equals A068780 + 1. Cf. A007921. Cf. A093515 (complement, apart from 1 which is in neither sequence), A323162 (characteristic function). Sequence in context: A227943 A114844 A194593 * A175090 A197113 A099616 Adjacent sequences:  A005378 A005379 A005380 * A005382 A005383 A005384 KEYWORD nonn,easy AUTHOR STATUS approved

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Last modified June 16 04:54 EDT 2019. Contains 324145 sequences. (Running on oeis4.)