A098027 Smallest prime p such that p+2 is a product of exactly n distinct primes.

3, 13, 103, 1153, 15013, 255253, 4849843, 111546433, 4360010653, 100280245063, 5245694198743, 152125131763603, 7149881192889433, 421842990380476663, 16294579238595022363, 1106494163767990292293, 74135108972455349583763

Offset: 1

Author

Lekraj Beedassy, Sep 10 2004

Keywords

• nonn

Comments

In most cases a(n) = pn! - 2, where pn! is "factorial of odd primes": from 3 to n-th odd prime. - Zak Seidov - Zak Seidov and Don Reble, Mar 10 2006

Examples

			3+2=5 (1 prime), 13+2=15=3*5 (2 primes), 103+2=105=3*5*7 (3 primes), ...
1153 is the 4th entry in the sequence because it is followed by primes 1783, 1993, 2143, 2803, ... with the property 1153+2 = 3*5*7*11, 1783+2 = 3*5*7*17, 1993+2 = 3*5*7*19, 2143+2 = 3*5*11*13, 2803+2 = 3*5*11*17, ...
		

Crossrefs

Cf. A067024 [From R. J. Mathar, Sep 02 2008]

Extensions

Extended by Ray Chandler, Sep 18 2004

More terms from Zak Seidov and Don Reble, Mar 10 2006

Corrected by Don Reble, Apr 03 2006