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A097824 Gaps associated with the arithmetic progressions of semiprimes in A096003. 5

%I #6 Jun 03 2012 12:33:38

%S 12,12,4,52,52,72,96,198,198,114,594,48,354,1860,3942,2574,2574,2574,

%T 20910,20910,9600,9600,152250,152250,152250,152250,1887270,4667040,

%U 4094790

%N Gaps associated with the arithmetic progressions of semiprimes in A096003.

%C The terms a(1),a(2) and a(3) are omitted to avoid the ambiguity caused by the two progressions of length 3 ending at A096003(3)=14: a(3)=5 for (4,9,14) or a(3)=4 for (6,10,14).

%e a(6)=4 because the 6 semiprimes in the progression ending at A096003(6)=221 are separated by an increment of 4: 201=3*67, 205=5*41, 209=11*19, 213=3*71, 217=7*31, 221=13*17.

%Y Cf. A096003, A093364 gaps in arithmetic progressions of primes, A082919 clusters of 8 consecutive semiprimes.

%K more,nonn

%O 4,1

%A _Hugo Pfoertner_, Aug 27 2004

%E a(26)-a(30) from _Hugo Pfoertner_, Sep 07 2004

%E a(31)-a(32) from _Donovan Johnson_, Jun 03 2012

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Last modified April 25 01:35 EDT 2024. Contains 371964 sequences. (Running on oeis4.)