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A098027 Smallest prime p such that p+2 is a product of exactly n distinct primes. 0

%I #14 Oct 19 2017 03:14:36

%S 3,13,103,1153,15013,255253,4849843,111546433,4360010653,100280245063,

%T 5245694198743,152125131763603,7149881192889433,421842990380476663,

%U 16294579238595022363,1106494163767990292293,74135108972455349583763

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

%C 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

%e 3+2=5 (1 prime), 13+2=15=3*5 (2 primes), 103+2=105=3*5*7 (3 primes), ...

%e 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, ...

%Y Cf. A067024 [From _R. J. Mathar_, Sep 02 2008]

%K nonn

%O 1,1

%A _Lekraj Beedassy_, Sep 10 2004

%E Extended by _Ray Chandler_, Sep 18 2004

%E More terms from _Zak Seidov_ and _Don Reble_, Mar 10 2006

%E Corrected by _Don Reble_, Apr 03 2006

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Last modified April 19 02:00 EDT 2024. Contains 371782 sequences. (Running on oeis4.)