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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
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
Sequence in context: A024371 A344963 A231479 * A087582 A235661 A070865
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.)