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A053020 Numbers which, when expressed as a sum of distinct primes with maximum product, use a non-maximal number of primes. 1
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)
OFFSET

1,1

REFERENCES

R. K. Guy, Unsolved Problems Number Theory, 2nd edition, Springer, 1994, F19.

LINKS

Adam Atkinson, Table of n, a(n) for n = 1..444

Adam Atkinson, Sequence A053020

Adam Atkinson, Sequence A053020 [Local copy, in pdf format, with permission]

EXAMPLE

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.

PROG

(Perl) # See Atkinson link

CROSSREFS

Sequence in context: A261281 A126838 A153048 * A250660 A252410 A064905

Adjacent sequences:  A053017 A053018 A053019 * A053021 A053022 A053023

KEYWORD

nonn

AUTHOR

Adam Atkinson, Feb 23 2000

EXTENSIONS

More terms from Adam Atkinson, Aug 23 2020

STATUS

approved

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Last modified August 17 05:07 EDT 2022. Contains 356184 sequences. (Running on oeis4.)