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A363342
Array read by descending antidiagonals. A(n,k), n > 1 and k > 0, is the least m such that the number of partitions of m into n distinct prime parts is exactly k, or -1 if no such number exists.
0
5, 16, 10, 24, 18, 17, 36, 26, 23, 28, 48, 31, 29, 34, 41, 60, 35, 33, -1, 47, 58, 78, 39, 37, 40, 70, 64, 77, 84, 80, 41, 55, 53, 72, 87, 100
OFFSET
2,1
EXAMPLE
A(2, 1) = 5 = 2 + 3, because 5 is the least number for which there exists exactly one partition into 2 distinct primes.
A(2, 2) = 16 = 3 + 13 = 5 + 11, because 16 is the least number for which there exist exactly 2 partitions into 2 distinct primes.
Array begins:
2: 5, 16, 24, 36, 48, 60, 78, 84, ...
3: 10, 18, 26, 31, 35, 39, 80, ...
4: 17, 23, 29, 33, 37, 41, ...
5: 28, 34, -1, 40, 55, ...
6: 41, 47, 70, 53, ...
7: 58, 64, 72, ...
8: 77, 87, ...
9: 100, ...
CROSSREFS
KEYWORD
sign,more
AUTHOR
Jean-Marc Rebert, May 28 2023
STATUS
approved