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.
%I A234320 #16 Dec 14 2014 02:20:42 %S A234320 9,121,55,205,161 %N A234320 Largest number that is not the sum of distinct primes of the form 2k+1, 4k+1, 4k+3, 6k+1, 6k+5, ...; or 0 if none exists. %C A234320 Largest number that is not the sum of distinct primes of the form 2nk+r for fixed n > 0 and 0 < r < 2n with gcd(2n,r) = 1. %C A234320 n = 1: Dressler proved that 9 is the largest integer which is not the sum of distinct odd primes. %C A234320 n = 2 and 3: Makowski proved that the largest integer that is not the sum of distinct primes of the form 4k+1, 4k+3, 6k+1, 6k+5 is 121, 55, 205, 161, respectively. %C A234320 n = 6: Dressler, Makowski, and Parker proved that the largest integer that is not the sum of distinct primes of the form 12k+1, 12k+5, 12k+7, 12k+11 is 1969, 1349, 1387, 1475. %C A234320 For n = 4, 5, 7, 8, 9, ..., the largest number that is not the sum of distinct primes of the form 2nk+r seems to be unknown. %D A234320 A. Makowski, Partitions into unequal primes, Bull. Acad. Polon. Sci. Sér. Math. Astronom. Phys., 8 (1960), 125-126. %H A234320 R. E. Dressler, <a href="http://dx.doi.org/10.1090/S0002-9939-1972-0292746-6">A stronger Bertrand's postulate with an application to partitions</a>, Proc. Amer. Math. Soc., 33 (1972), 226-228. %H A234320 R. E. Dressler, <a href="http://dx.doi.org/10.1090/S0002-9939-1973-0309842-8">Addendum to "A stronger Bertrand's postulate with an application to partitions"</a>, Proc. Am. Math. Soc., 38 (1973), 667. %H A234320 R. E. Dressler, A. Makowski, and T. Parker, <a href="http://dx.doi.org/10.1090/S0025-5718-1974-0340206-6">Sums of Distinct Primes from Congruence Classes Modulo 12</a>, Math. Comp., 28 (1974), 651-652. %H A234320 T. Kløve, <a href="http://dx.doi.org/10.1090/S0025-5718-1975-0398969-0">Sums of Distinct Elements from a Fixed Set</a>, Math. Comp., 29 (1975), 1144-1149. %e A234320 The positive integers that are not the sum of distinct odd primes are A231408 = 1, 2, 4, 6, 9, so a(1) = A231408(5) = 9. %Y A234320 Cf. A231407, A231408. %K A234320 nonn,more %O A234320 1,1 %A A234320 _Jonathan Sondow_, Dec 28 2013