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A096003 Smallest semiprime (A001358) which is at the end of an arithmetic progression of n semiprimes. 5

%I #16 Jul 10 2015 23:07:18

%S 4,6,14,46,58,221,445,497,1211,1561,4195,4393,6347,10717,14233,28213,

%T 31451,72965,119029,121603,124177,611261,632171,2003171,2012771,

%U 7466993,7619243,7771493,7923743,68029097,142247113,168901739

%N Smallest semiprime (A001358) which is at the end of an arithmetic progression of n semiprimes.

%C a(33) <= 1320196303 (gap of 39029760). a(34) <= 1359226063 (gap of 39029760). a(35) <= 1398255823 (gap of 39029760). - _Donovan Johnson_, Jun 03 2012

%e a(3)=14 since (4,9,14) [or (6,10,14)] is an arithmetic progression of 3 semiprimes ending in 14 and 14 is the smallest semiprime with this property.

%Y Cf. A001358 (semiprimes), A005115 (analog for primes).

%Y For the associated gaps see A097824.

%K nonn

%O 1,1

%A _N. J. A. Sloane_, Jul 28 2004

%E More terms from _T. D. Noe_ and _Ray Chandler_, Jul 29 2004

%E a(18)-a(20) from _Ray Chandler_, Aug 01 2004

%E More terms from _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 March 28 14:02 EDT 2024. Contains 371254 sequences. (Running on oeis4.)