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Primes P such that P and P+2 are twin primes and P = p(n)# + p(m) with p(n) < p(m) < p(n+1)^2, or 0 if no such prime P for n, p(n)# = n-th primorial, p(m)= m-th prime ( p(m), p(m+1) twin primes ).
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%I #9 Oct 12 2013 15:14:06

%S 5,11,17,41,59,71,227,239,269,281,311,2339,2381,30089,30137,30269,

%T 510551,510581,510611,510617,510707,9699731,9699887,9699917,223093511,

%U 6469693331,6469693511,6469693661,6469694039,6469694057

%N Primes P such that P and P+2 are twin primes and P = p(n)# + p(m) with p(n) < p(m) < p(n+1)^2, or 0 if no such prime P for n, p(n)# = n-th primorial, p(m)= m-th prime ( p(m), p(m+1) twin primes ).

%C First 0 is at n=41 p(n)=179, then at n=48, 49, 55, 63, 64......

%e p(8)# + 41 = 9699731, 9699733 are twin primes ( as 41, 43 )

%e p(8)# + 197 = 9699887, 9699889 are twin primes ( as 197, 199 )

%e p(8)# + 227 = 9699917, 9699919 are twin primes ( as 227, 229 )

%e p(8)=19#=2*3*5*7*11*13*17*19

%K base,nonn,less

%O 1,1

%A _Pierre CAMI_, Nov 29 2003