A088903 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 ).

5, 11, 17, 41, 59, 71, 227, 239, 269, 281, 311, 2339, 2381, 30089, 30137, 30269, 510551, 510581, 510611, 510617, 510707, 9699731, 9699887, 9699917, 223093511, 6469693331, 6469693511, 6469693661, 6469694039, 6469694057

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..30.

Example

p(8)# + 41 = 9699731, 9699733 are twin primes ( as 41, 43 )
p(8)# + 197 = 9699887, 9699889 are twin primes ( as 197, 199 )
p(8)# + 227 = 9699917, 9699919 are twin primes ( as 227, 229 )
p(8)=19#=2*3*5*7*11*13*17*19

Crossrefs

Sequence in context: A157478 A297583 A356756 * A094205 A136091 A184968

Adjacent sequences: A088900 A088901 A088902 * A088904 A088905 A088906

Keyword

base,nonn,less

Author

Pierre CAMI, Nov 29 2003

Status

approved