OFFSET
1,2
COMMENTS
Some consecutive terms in this sequence are (102:103), (105:106), (143:144), ... (1320071:1320072), (1320250:1320251) ... Conjecture: There are infinitely many of these consecutive pairs.
REFERENCES
David Wells, Prime Numbers: The Most Mysterious Figures in Math, John Wiley & Sons, 2005, p. 231.
LINKS
Amiram Eldar, Table of n, a(n) for n = 1..10000
EXAMPLE
1 is in the sequence since 60*1^2 + 30*1 - 30 = 60 and {59, 61} are twin primes.
MATHEMATICA
lst={}; Do[If[PrimeQ[60*n^2+30*n-30-1]&&PrimeQ[60*n^2+30*n-30+1], AppendTo[lst, n]], {n, 10^3}]; lst (* Vladimir Joseph Stephan Orlovsky, Aug 08 2008 *)
CROSSREFS
KEYWORD
easy,nonn
AUTHOR
Jason Earls, Jul 16 2005
STATUS
approved