a(n) equals the smallest Sophie Germain prime q such that pi_(p,2p+1)(q,10,(1,3)) - pi_(p,2p+1)(q,10,(3,1)) = n, where pi_(p,2p+1)(q,10,(b,c)) equals the number of Sophie Germain primes A005384(i) such A005384(i) <= q and (A005384(i),A005384(i+1)) == (b,c) (mod 10).
A333084
a(n) equals the smallest Sophie Germain prime q such that pi_(p,2p+1)(q,10,(1,3)) - pi_(p,2p+1)(q,10,(3,1)) = n, where pi_(p,2p+1)(q,10,(b,c)) equals the number of Sophie Germain primes A005384(i) such A005384(i) <= q and (A005384(i),A005384(i+1)) == (b,c) (mod 10).
Terms
- a(0) =11a(1) =41a(2) =191a(3) =281a(4) =431a(5) =2351a(6) =2741a(7) =31721a(8) =32561a(9) =34631a(10) =35291a(11) =36821a(12) =37181a(13) =60761a(14) =62591a(15) =62981a(16) =63671a(17) =64301a(18) =65171a(19) =196541a(20) =238691a(21) =239201a(22) =241781a(23) =244301a(24) =246731a(25) =255191a(26) =310181a(27) =311021a(28) =358331a(29) =358901
External references
- oeis: A333084