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A088121 Smallest prime obtained as a sum of n terms of a geometric progression + the common ratio, or 0 if no such terms exists. Smallest prime of the form (a +ar +ar^2 + ar^3 +... ) + r. 1

%I #5 Dec 05 2013 19:56:33

%S 3,5,23,17,157,191,383,257,2557,9209,6143,20477,73721,147449,360439,

%T 65537,655357,786431,11010029,5242877,31457267,71303153,276824033,

%U 150994937,301989881,469762043,671088637,4026531827,2684354557

%N Smallest prime obtained as a sum of n terms of a geometric progression + the common ratio, or 0 if no such terms exists. Smallest prime of the form (a +ar +ar^2 + ar^3 +... ) + r.

%C The ratio is required to be > 1.

%C For a(5), (1 + r + r^2 + r^3 + r^4) + r is composite. hence the first term of the geometric progression is >1. For a(5) a = 5 and r = 2. This is true For all odd n.

%e a(3) = (3+6+12) + 2 = 23.

%e a(4) = (1+2+4+8 ) + 2 = 17.

%e a(6) = (3+6+12+24+48+96) + 2= 191.

%Y Cf. A088120.

%K easy,nonn

%O 1,1

%A _Amarnath Murthy_, Sep 25 2003

%E More terms from _David Wasserman_, Jul 25 2005

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Last modified April 23 05:59 EDT 2024. Contains 371906 sequences. (Running on oeis4.)