

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
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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 6k1 (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), 125126.
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



