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A096101 a(1) = 1; for n > 1: a(n) = smallest number >1 such that product of any two or more successive terms - 1 is prime. 1

%I #12 Jan 13 2020 14:57:33

%S 1,3,2,2,2,3,170,46600,1901907,65157236,42083217792,2819475721641

%N a(1) = 1; for n > 1: a(n) = smallest number >1 such that product of any two or more successive terms - 1 is prime.

%e a(2) is not 2 since 1*2-1 = 1 is not prime, but 1*3-1 = 2 is prime, hence a(2) = 3.

%e a(6) is not 2 since 2*2*2*2-1 = 15 is not prime, but 2*3-1 = 5, 2*2*3-1 = 11, 2*2*2*3-1 = 23, 3*2*2*2*3-1 = 71 are all prime, hence a(6) = 3.

%Y Cf. A096100.

%K nonn,more

%O 1,2

%A _Amarnath Murthy_, Jun 24 2004

%E Edited and extended by _Klaus Brockhaus_, Jul 05 2004

%E a(10) from _Donovan Johnson_, Apr 22 2008

%E a(11)-a(12) from _Bert Dobbelaere_, Jan 13 2020

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Last modified June 12 02:30 EDT 2024. Contains 373321 sequences. (Running on oeis4.)