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Search: id:A102747
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%I A102747
%S A102747 2,7,103,229561,863833
%N A102747 Primes p(n) such that p(n)#+p(n+1) is divisible by p(n+2).
%e A102747 7 belongs to this sequence since 2*3*5*7+11 is divisible by 13.
%o A102747 (PARI) { isgood(p) = local(r,p2,p3); p2=nextprime(p+1); p3=nextprime(p2+1); 
               r=Mod(1,p3); forprime(q=1,p,r*=q); r+=p2; return(r==0); }
%Y A102747 Cf. A002110, A058233.
%Y A102747 Sequence in context: A087589 A002812 A102598 this_sequence A122524 A162634 
               A072664
%Y A102747 Adjacent sequences: A102744 A102745 A102746 this_sequence A102748 A102749 
               A102750
%K A102747 hard,more,nonn
%O A102747 1,1
%A A102747 Max Alekseyev (maxale(AT)gmail.com), Feb 09 2005
%E A102747 863833 from Ryan Propper (rpropper(AT)cs.stanford.edu), Jan 07 2008

    
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Last modified December 17 13:29 EST 2009. Contains 170826 sequences.


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