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

4, 6, 14, 46, 58, 221, 445, 497, 1211, 1561, 4195, 4393, 6347, 10717, 14233, 28213, 31451, 72965, 119029, 121603, 124177, 611261, 632171, 2003171, 2012771, 7466993, 7619243, 7771493, 7923743, 68029097, 142247113, 168901739

Offset

1,1

Comments

a(33) <= 1320196303 (gap of 39029760). a(34) <= 1359226063 (gap of 39029760). a(35) <= 1398255823 (gap of 39029760). - Donovan Johnson, Jun 03 2012

Links

Table of n, a(n) for n=1..32.

Example

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.

Crossrefs

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

For the associated gaps see A097824.

Sequence in context: A274208 A077068 A277059 * A114058 A214901 A357808

Adjacent sequences: A096000 A096001 A096002 * A096004 A096005 A096006

Keyword

nonn

Author

N. J. A. Sloane, Jul 28 2004

Extensions

More terms from T. D. Noe and Ray Chandler, Jul 29 2004

a(18)-a(20) from Ray Chandler, Aug 01 2004

More terms from Hugo Pfoertner, Aug 27 2004

a(26)-a(30) from Hugo Pfoertner, Sep 07 2004

a(31)-a(32) from Donovan Johnson, Jun 03 2012

Status

approved