A231407 Positive integers that are not the sum of distinct primes.

1, 4, 6

Offset: 1

Author

Jonathan Sondow, Nov 24 2013

Keywords

• fini
• full
• nonn

Comments

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

References

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

Links

• R. E. Dressler, Addendum to "A stronger Bertrand’s postulate with an application to partitions", Proc. Am. Math. Soc., 38 (1973), 667.

Crossrefs

Cf. A121571, A231408.

Formula

a(3) = A121571(1).