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A048264
Numbers that aren't the sum of distinct primes of the form 6k+5.
1
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.
CROSSREFS
KEYWORD
fini,full,nonn
AUTHOR
STATUS
approved