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 A084758 The slowest increasing sequence of primes such that difference of successive terms is unique. 26
 2, 3, 5, 11, 19, 23, 37, 47, 59, 79, 97, 113, 137, 163, 191, 223, 257, 293, 331, 353, 383, 431, 487, 541, 587, 631, 673, 733, 773, 823, 881, 947, 1009, 1061, 1129, 1193, 1277, 1367, 1439, 1531, 1601, 1697, 1777, 1871, 1949, 2053, 2129, 2203, 2309, 2411, 2521 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The sequence of successive differences is 1,2,6,8,4,14,10,12,20,18,16,... Conjecture: every even number is a term of this sequence. For every even number e there exists some k such that a(k) - a(k-1) = e. The slowest increasing sequence of primes such that each difference between successive terms is unique. - Zak Seidov, Feb 10 2015 LINKS Zak Seidov, Table of n, a(n) for n = 1..1000 EXAMPLE After 23, the next term is 37 and not 29 or 31 as 29-23= 11-5 =6, 31-23 = 19-11=8. MATHEMATICA diffs = {}; prms = {2}; p = 2; Do[While[p = NextPrime[p]; d = p - prms[[-1]]; MemberQ[diffs, d]]; AppendTo[diffs, d]; AppendTo[prms, p], {100}]; prms (* T. D. Noe, Nov 01 2011 *) CROSSREFS Cf. A084759, A121862. Sequence in context: A024371 A344963 A231479 * A087582 A235661 A070865 Adjacent sequences: A084755 A084756 A084757 * A084759 A084760 A084761 KEYWORD nonn AUTHOR Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 17 2003 EXTENSIONS More terms from David Wasserman, Jan 05 2005 Definition corrected by Zak Seidov, Nov 01 2011 Definition corrected by Zak Seidov, Feb 11 2015 STATUS approved

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Last modified May 26 11:55 EDT 2024. Contains 372824 sequences. (Running on oeis4.)