login
A373613
Positive integers that cannot be written as a sum of a practical number and a decagonal number.
1
10, 15, 23, 27, 44, 62, 71, 77, 95, 102, 119, 137, 143, 188, 194, 242, 249, 269, 278, 284, 311, 323, 338, 359, 413, 422, 509, 519, 524, 593, 599, 614, 656, 662, 663, 683, 698, 779, 824, 944, 974, 1028, 1049, 1058, 1061, 1073, 1124, 1139, 1178, 1208, 1293, 1304
OFFSET
1,1
COMMENTS
Somu and Tran (2024) conjectured that there are finitely many such integers. It was also conjectured that 13613213 is the largest such integer. This conjecture was checked up to 10^8.
LINKS
Sai Teja Somu and Duc Van Khanh Tran, On sums of practical numbers and polygonal numbers, Journal of Integer Sequences, 27(5), 2024.
CROSSREFS
Sequence in context: A373421 A267329 A120138 * A050200 A034961 A207637
KEYWORD
nonn,hard
AUTHOR
Duc Van Khanh Tran, Jun 10 2024
STATUS
approved