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A087379 Beginning with 2, primes such that the difference between two successive terms is a distinct composite number. 0

%I #5 Dec 05 2013 19:56:21

%S 2,11,17,29,37,41,59,73,83,103,127,149,179,211,227,263,307,347,373,

%T 401,439,487,521,563,613,659,719,773,829,881,947,1009,1087,1151,1223,

%U 1291,1361,1447,1523,1597,1693,1777,1867,1949,2029,2087,2179,2267,2371,2473

%N Beginning with 2, primes such that the difference between two successive terms is a distinct composite number.

%C The sequence of successive differences is given by the following distinct composite numbers 9,6,12,8,4,18,14,10,20,.... And trivially second term onwards only even composite numbers occur. Conjecture: Let a(m+1)-a(m) be composite (k). Then there exists a constant C such that m < C*k.

%F a(n) = n-th partial sum of A068632. - _David Wasserman_, May 24 2005

%K nonn

%O 0,1

%A _Amarnath Murthy_, Sep 09 2003

%E More terms from _David Wasserman_, May 24 2005

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Last modified July 25 14:28 EDT 2024. Contains 374609 sequences. (Running on oeis4.)