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

1, 4, 6

Offset

1,2

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

Table of n, a(n) for n=1..3.

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

Formula

a(3) = A121571(1).

Crossrefs

Cf. A121571, A231408.

Sequence in context: A064612 A299639 A244444 * A005927 A201529 A079207

Adjacent sequences: A231404 A231405 A231406 * A231408 A231409 A231410

Keyword

fini,full,nonn

Author

Jonathan Sondow, Nov 24 2013

Status

approved