

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
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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(k1) = 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 2923= 115 =6, 3123 = 1911=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



KEYWORD

nonn


AUTHOR

Amarnath Murthy and Meenakshi Srikanth (menakan_s(AT)yahoo.com), Jun 17 2003


EXTENSIONS



STATUS

approved



