A048264 Numbers that aren't the sum of distinct primes of the form 6k+5.

1, 2, 3, 4, 6, 7, 8, 9, 10, 12, 13, 14, 15, 18, 19, 20, 21, 24, 25, 26, 27, 30, 31, 32, 35, 36, 37, 38, 42, 43, 44, 48, 49, 50, 54, 55, 60, 61, 65, 66, 67, 72, 73, 77, 78, 79, 84, 90, 91, 95, 96, 102, 108, 114, 119, 120, 125, 143, 155, 161

Offset

1,2

Comments

A theorem due to Andrzej Makowski: every natural number greater than 161 is the sum of distinct primes of the form 6k-1 (see references). - Bernard Schott, Apr 12 2021

References

A. Mąkowski, Partitions into unequal primes, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astr. Phys. 8 (1960), 125-126.

Wacław Sierpiński, Elementary Theory of Numbers, p. 144, Warsaw, 1964.

David Wells, The Penguin Dictionary of Curious and Interesting Numbers, Penguin Books, Revised edition, 1997, p. 127, entry 161.

Links

Table of n, a(n) for n=1..60.

Crossrefs

Cf. A007528, A048265, A324076.

Sequence in context: A029596 A039160 A175439 * A260816 A285598 A275804

Adjacent sequences: A048261 A048262 A048263 * A048265 A048266 A048267

Keyword

fini,full,nonn

Author

Jud McCranie

Status

approved