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A048264 Numbers that aren't the sum of distinct primes of the form 6k+5. 1

%I #13 Apr 14 2021 22:44:34

%S 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,

%T 36,37,38,42,43,44,48,49,50,54,55,60,61,65,66,67,72,73,77,78,79,84,90,

%U 91,95,96,102,108,114,119,120,125,143,155,161

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

%C 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

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

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

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

%Y Cf. A007528, A048265, A324076.

%K fini,full,nonn

%O 1,2

%A _Jud McCranie_

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Last modified April 19 16:52 EDT 2024. Contains 371794 sequences. (Running on oeis4.)