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A133802
Even numbers which are not the sum of a pair of cousin primes.
0
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
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
KEYWORD
nonn
AUTHOR
Donovan Johnson, Jan 06 2008
STATUS
approved