A133802 Even numbers which are not the sum of a pair of cousin primes.

2, 4, 8, 12, 68, 72, 76, 278, 282, 286, 638, 642, 644, 648, 652, 908, 912, 916, 1058, 1062, 1066, 1328, 1332, 1336, 1418, 1422, 2114, 2118, 2122, 2294, 2298, 2302, 2528, 2532, 2536, 2948, 2952

Offset

1,1

Comments

No other n < 10^9. Conjectured to be complete.

References

D. Wells, Prime Numbers: The Most Mysterious Figures in Math. John Wiley & Sons, Inc., Hoboken, New Jersey, page 33.

Links

Table of n, a(n) for n=1..37.

Eric Weisstein's World of Mathematics, Cousin Primes.

Marek Wolf, On the Twin and Cousin Primes, (1996) IFTU Wr 909/96.

Example

The cousin primes < 100 are 3, 7, 11, 13, 17, 19, 23, 37, 41, 43, 47, 67, 71, 79, 83, 97. 76 is in the sequence because no combination of any two numbers from the set just enumerated can be summed to make 76.

Crossrefs

Cf. A023200, A046132, A007534.

Sequence in context: A177268 A289085 A242924 * A076202 A268713 A363594

Adjacent sequences: A133799 A133800 A133801 * A133803 A133804 A133805

Keyword

nonn

Author

Donovan Johnson, Jan 06 2008

Status

approved