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A089781 Successive coprime numbers with distinct successive differences: (a(k+1),a(k))= (a(m+1),a(m)) = 1 and a(k+1)-a(k) = a(m+1)-a(m) <==> m=k. +0
2
1, 2, 5, 7, 11, 16, 23, 29, 37, 46, 57, 67, 79, 92, 107, 121, 137, 154, 173, 191, 211, 232, 255, 277 (list; graph; listen)
OFFSET

1,2

COMMENT

Conjecture: If a(k+1)-a(k) = n then k < C*n. Can some one find an estimate for the constant C?

EXAMPLE

5 follows 2 as 4 is not coprime to 2 and 5-2 = 3, 2-1 =1.

CROSSREFS

Sequence in context: A006066 A084935 A062409 this_sequence A144832 A023238 A049042

Adjacent sequences: A089778 A089779 A089780 this_sequence A089782 A089783 A089784

KEYWORD

nonn,more

AUTHOR

Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Nov 24 2003

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Last modified December 17 19:39 EST 2009. Contains 170821 sequences.


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