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Search: id:A084758
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| A084758 |
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Primes in ascending order such that difference of successive terms is unique. a(m)-a(m-1) = a(k)-a(k-1) iff m = k. |
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+0
3
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| 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; listen)
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OFFSET
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0,1
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COMMENT
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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.
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EXAMPLE
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after 23 the next term is 37 and not 29 or 31 as 29-23= 11-5 =6, 31-23 = 19-11=8.
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CROSSREFS
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Cf. A084759.
Adjacent sequences: A084755 A084756 A084757 this_sequence A084759 A084760 A084761
Sequence in context: A097048 A025067 A024371 this_sequence A087582 A070865 A084697
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy and Meenakshi Srikanth (amarnath_murthy(AT)yahoo.com), Jun 17 2003
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EXTENSIONS
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More terms from David Wasserman (wasserma(AT)spawar.navy.mil), Jan 05 2005
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