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- W2783375005 abstract "In 1963, Graham proved that all integers greater than 77 (but not 77 itself) can be partitioned into distinct positive integers whose reciprocals sum to 1. He further conjectured that for any sufficiently large integer, it can be partitioned into squares of distinct positive integers whose reciprocals sum to 1. In this study, we establish the exact bound for existence of such partitions by proving that 8542 is the largest integer with no such partition." @default.
- W2783375005 created "2018-01-26" @default.
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- W2783375005 date "2019-08-13" @default.
- W2783375005 modified "2023-09-27" @default.
- W2783375005 title "ON PARTITIONS INTO SQUARES OF DISTINCT INTEGERS WHOSE RECIPROCALS SUM TO 1" @default.
- W2783375005 cites W2112201978 @default.
- W2783375005 doi "https://doi.org/10.2307/j.ctvd58spj.18" @default.
- W2783375005 hasPublicationYear "2019" @default.
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