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 A259019 Lexicographically first permutation of the nonnegative integers such that Sum_{k=n..2n} a(k) is a prime number, with a(1)=0. 0
 0, 2, 1, 4, 3, 5, 6, 11, 7, 9, 8, 13, 10, 15, 12, 16, 14, 23, 17, 20, 18, 25, 19, 21, 22, 31, 24, 30, 26, 29, 27, 35, 28, 34, 32, 38, 33, 48, 36, 37, 39, 41, 40, 44, 42, 53, 43, 50, 45, 46, 47, 55, 49, 52, 51, 57, 54, 66, 56, 60, 58, 63, 59, 62, 61, 78, 64, 84 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Previous name: a(1)=0; for n>1, a(n) is the least number not yet used having the property that a(n) added with the next n terms is a prime number. The corresponding primes are 2, 7, 13, 29, 41, 59, 79, 101, 127, 157, 191, 223, 263, 307, 347, 397, 443, 499, 557, 613, 673, 739, 809, 883, 953, 1033, 1103, 1187, 1277, 1367, 1459, 1553, 1657, 1777, ... This is a permutation of the integers. - Michel Marcus, Jun 21 2015 LINKS EXAMPLE a(1)= 0 plus the next single term 2 is 2 (a prime); a(2)= 2 plus the next two terms (1,4) is 7 (a prime); a(3)= 1 plus the next three terms (4,3,5) is 13 (a prime); a(4)= 4 plus the next four terms (3,5,6,11) is 29 (a prime); a(5)= 3 plus the next five terms (5,6,11,7,9) is 41 (a prime). MAPLE nn:=100:T:=array(1..nn):T[1]:=0:T[2]:=2:kk:=2:lst:={0, 2}: for n from 2 to nn do:   ii:=0:     for k from 1 to 1000 while(ii=0)do:      if {k} intersect lst = {}      then      ii:=1:lst:=lst union {k}:kk:=kk+1:T[kk]:=k:      else      fi:     od:      jj:=0:n0:=nops(lst):s:=sum('T[i]', 'i'=n..n0):       for p from 1 to 100 while(jj=0) do:         z:=s+p:          if type(z, prime)=true and {p} intersect lst={}          then          jj:=1:lst:=lst union {p}:kk:=kk+1:T[kk]:=p:          else          fi:        od: od: print(T): CROSSREFS Cf. A000040, A247665, A259018. Sequence in context: A055176 A118267 A324755 * A262663 A075348 A326062 Adjacent sequences:  A259016 A259017 A259018 * A259020 A259021 A259022 KEYWORD nonn AUTHOR Michel Lagneau, Jun 16 2015 EXTENSIONS Name edited by Jon E. Schoenfield, Sep 12 2017 STATUS approved

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Last modified January 20 08:39 EST 2022. Contains 350467 sequences. (Running on oeis4.)