%I A002822 M0641 N0235
%S A002822 1,2,3,5,7,10,12,17,18,23,25,30,32,33,38,40,45,47,52,58,70,72,77,87,95,
%T A002822 100,103,107,110,135,137,138,143,147,170,172,175,177,182,192,205,213,
%U A002822 215,217,220,238,242,247,248,268,270,278,283,287,298,312,313,322,325
%N A002822 Numbers n such that 6n-1, 6n+1 are twin primes.
%C A002822 Iff n is not of the form by 6ab+-a+-b, then 6n-1 and 6n+1 are twin primes. 
               - Jon Perry (perry(AT)globalnet.co.uk), Feb 01 2002
%C A002822 Even entries correspond to twin primes of the form (4k - 1,4k + 1), odd 
               entries to twin primes of the form (4k + 1,4k + 3). - Lekraj Beedassy 
               (blekraj(AT)yahoo.com), Apr 03 2002
%D A002822 S. W. Golomb, Problem E969, Amer. Math. Monthly, 58 (1951), 338; 59 (1952), 
               44.
%D A002822 W. J. LeVeque, Topics in Number Theory. Addison-Wesley, Reading, MA, 
               2 vols., 1956, Vol. 1, p. 69.
%D A002822 W. Sierpi\'{n}ski, A Selection of Problems in the Theory of Numbers. 
               Macmillan, NY, 1964, p. 120.
%D A002822 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002822 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%H A002822 T. D. Noe, <a href="b002822.txt">Table of n, a(n) for n = 1..10000</a>
%p A002822 ZL:=[]:for p from 5 to 1950 do if (isprime(p) and isprime(p+2)) then 
               ZL:=[op(ZL),(((p+2)^2)-p^2)/24]; fi; od; print(ZL); - Zerinvary Lajos 
               (zerinvarylajos(AT)yahoo.com), Mar 08 2007
%t A002822 Select[ Range[350], PrimeQ[6# - 1] && PrimeQ[6# + 1] & ]
%Y A002822 Complement of A067611.
%Y A002822 Equal to A014574(n)/6 for n>0.
%Y A002822 Sequence in context: A062442 A036964 A067162 this_sequence A109598 A117959 
               A117952
%Y A002822 Adjacent sequences: A002819 A002820 A002821 this_sequence A002823 A002824 
               A002825
%K A002822 nonn,nice,easy
%O A002822 1,2
%A A002822 N. J. A. Sloane (njas(AT)research.att.com).
%E A002822 More terms from Larry Reeves (larryr(AT)acm.org), Mar 27 2001