cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A133802 #14 Mar 30 2025 14:19:11
%S A133802 2,4,8,12,68,72,76,278,282,286,638,642,644,648,652,908,912,916,1058,
%T A133802 1062,1066,1328,1332,1336,1418,1422,2114,2118,2122,2294,2298,2302,
%U A133802 2528,2532,2536,2948,2952
%N A133802 Even numbers which are not the sum of a pair of cousin primes.
%C A133802 No other n < 10^9. Conjectured to be complete.
%D A133802 D. Wells, Prime Numbers: The Most Mysterious Figures in Math. John Wiley & Sons, Inc., Hoboken, New Jersey, page 33.
%H A133802 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CousinPrimes.html">Cousin Primes</a>.
%H A133802 Marek Wolf, <a href="https://citeseerx.ist.psu.edu/pdf/efa69289aa31f0260e0b603e951b0e25bd875fae">On the Twin and Cousin Primes</a>, (1996) IFTU Wr 909/96.
%e A133802 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.
%t A133802 Lim=10^4;cp1=Select[Range[Lim], PrimeQ[#] && PrimeQ[# + 4] &] ;cp=Union[Join[cp1,cp1+4]];sms=Total/@Tuples[cp,2];en=Range[2,Lim,2];Complement[en,sms] (* _James C. McMahon_, Mar 30 2025 *)
%Y A133802 Cf. A023200, A046132, A007534.
%K A133802 nonn
%O A133802 1,1
%A A133802 _Donovan Johnson_, Jan 06 2008