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A084039 a(1) = 1; then distinct numbers such that both the product of two successive terms + 1 and the ratio of the larger to the smaller of two successive terms + 1 is a prime. 2

%I #10 May 06 2018 00:44:01

%S 1,2,8,32,384,4608,4,24,48,12,3,6,72,18,9,54,27,108,1296,648,324,162,

%T 2916,34992,979776,7,28,112,448,8064,1344,224,14,252,63,756,21,42,84,

%U 504,1008,12096,96,192,768,1536,9216,16,480,30,5,20,80,320,5760,10,40

%N a(1) = 1; then distinct numbers such that both the product of two successive terms + 1 and the ratio of the larger to the smaller of two successive terms + 1 is a prime.

%C a(k+1) is either a multiple or a divisor of a(k).

%e 8 follows 2 as both 2*8 + 1 = 17 and 8/2 + 1 = 5 are primes.

%Y Cf. A084040, A084041.

%K nonn

%O 1,2

%A _Amarnath Murthy_, May 26 2003

%E Corrected and extended by _Ray Chandler_, Aug 05 2003

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Last modified April 18 22:18 EDT 2024. Contains 371782 sequences. (Running on oeis4.)