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A053020
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Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes.
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1
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319, 372, 492, 703, 865, 954, 1584, 1842, 2112, 2118, 2418, 2569, 2575, 2899, 2905, 3078, 3432, 3438, 4212, 4218, 4423, 4429, 5341, 5815, 5821, 6066, 6072, 6323, 6329, 6592, 7132, 7967, 7973, 8254, 8260, 8266, 9502, 9508, 9514, 9839, 9845, 10176, 10182, 11225, 11231
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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REFERENCES
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R. K. Guy, Unsolved Problems Number Theory, 2nd edition, Springer, 1994, F19.
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LINKS
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EXAMPLE
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10 is not in the sequence because 5+3+2 has maximum product AND uses the maximum number of primes (3). (10 = 7+3 is worse in both senses). 319 is the first number for which there's a difference.
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PROG
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(Perl) # See Atkinson link
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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