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

Author

Jud McCranie

Keywords

• fini
• full
• nonn

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.

Crossrefs

Cf. A007528, A048265, A324076.