Search: id:A120735
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%I A120735
%S A120735 21,27,97,21,151,163,243,79,313,159,933,197,257,483,313,1049,337,353,33,
%T A120735 217,751,257,1777,193,81,343,647,3,393,737,381,553,709,471,543,1237,23,
%U A120735 699,419,1251,843,953,497,1303,557,1803,841,397,273,681,319,263,231
%N A120735 Least positive k such that saw(n) + k is prime, where saw(n) = (1111120*(-1+10^(10*n))/
               900009).
%C A120735 The majority of the decimal expansions of these (probable) primes rise 
               and fall to form a "sawtooth" pattern, e.g. a(3)=97 and saw(3)+97 
               = 1234565432123456543212345654417. a(1000)=5291. Proof: PFGW Version 
               1.2.0 for Windows [FFT v23.8] Primality testing (1111120*(-1+10^(10000))/
               900009)+5291 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test 
               using base 2 Running N-1 test using base 3 Running N+1 test using 
               discriminant 11, base 2+sqrt(11) (1111120*(-1+10^(10000))/900009)+5291 
               is Fermat and Lucas PRP!
%Y A120735 Sequence in context: A098768 A114168 A103083 this_sequence A009727 A048012 
               A130202
%Y A120735 Adjacent sequences: A120732 A120733 A120734 this_sequence A120736 A120737 
               A120738
%K A120735 nonn
%O A120735 1,1
%A A120735 Jason Earls (zevi_35711(AT)yahoo.com), Aug 18 2006

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