Twin prime pairs p, p+2 such that p+(p+2)+1 and p*(p+2)+1 are both square.

Terms

a(0) =3a(1) =5a(2) =11a(3) =13a(4) =59a(5) =61a(6) =179a(7) =181a(8) =311a(9) =313a(10) =419a(11) =421a(12) =2111a(13) =2113a(14) =3119a(15) =3121a(16) =5099a(17) =5101a(18) =21011a(19) =21013a(20) =21839a(21) =21841a(22) =24419a(23) =24421a(24) =30011a(25) =30013a(26) =37811a(27) =37813a(28) =41759a(29) =41761