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Positive integers that are not the sum of distinct primes.
5

%I #4 Nov 25 2013 02:59:43

%S 1,4,6

%N Positive integers that are not the sum of distinct primes.

%C Using elementary methods, Richert proved that 6 is the largest integer which is not the sum of distinct primes.

%D H.-E. Richert, Über Zerlegungen in paarweise verschiedene Zahlen, Norsk. Mat. Tidsskr., 31 (1949), 120-122.

%H R. E. Dressler, <a href="http://www.ams.org/journals/proc/1973-038-03/S0002-9939-1973-0309842-8/S0002-9939-1973-0309842-8.pdf">Addendum to "A stronger Bertrand’s postulate with an application to partitions"</a>, Proc. Am. Math. Soc., 38 (1973), 667.

%F a(3) = A121571(1).

%Y Cf. A121571, A231408.

%K fini,full,nonn

%O 1,2

%A _Jonathan Sondow_, Nov 24 2013