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A333266
a(n) is the smallest number k such that for all m >= k there is at least one prime partition of m with prime(n) as least part.
0
4, 8, 15, 24, 39, 49, 67, 83, 89, 115, 127, 143, 163, 179, 193, 223, 235, 249, 271, 281, 295, 333, 349, 363, 387, 403, 409, 427, 461, 483, 515, 535, 545, 565, 595, 625, 643, 659, 685, 703, 725, 733, 759, 805, 813, 835, 851, 895, 907, 923, 937, 965, 989, 1033
OFFSET
1,1
COMMENTS
a(n) is a term if and only if it is the smallest number such that there exists a prime partition of every m in the interval [a(n), 2*a(n)] with least part prime(n). There is no prime partition of a(n)-1 having prime(n) as least part, and this is the greatest such number.
EXAMPLE
For any k >= 4 there exists a prime partition of k having least part 2, hence a(1)=4.
CROSSREFS
KEYWORD
nonn
AUTHOR
EXTENSIONS
More terms from Alois P. Heinz, Mar 16 2020
STATUS
approved