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- Q2293800 subject Q5519261.
- Q2293800 subject Q6091893.
- Q2293800 subject Q7000764.
- Q2293800 subject Q7217289.
- Q2293800 subject Q8612029.
- Q2293800 abstract "In number theory, Sylvester's sequence is an integer sequence in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are:2, 3, 7, 43, 1807, 3263443, 10650056950807, 113423713055421844361000443 (sequence A000058 in OEIS).Sylvester's sequence is named after James Joseph Sylvester, who first investigated it in 1880. Its values grow doubly exponentially, and the sum of its reciprocals forms a series of unit fractions that converges to 1 more rapidly than any other series of unit fractions with the same number of terms. The recurrence by which it is defined allows the numbers in the sequence to be factored more easily than other numbers of the same magnitude, but, due to the rapid growth of the sequence, complete prime factorizations are known only for a few of its members. Values derived from this sequence have also been used to construct finite Egyptian fraction representations of 1, Sasakian Einstein manifolds, and hard instances for online algorithms.".
- Q2293800 thumbnail Sylvester-square.svg?width=300.
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- Q2293800 comment "In number theory, Sylvester's sequence is an integer sequence in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are:2, 3, 7, 43, 1807, 3263443, 10650056950807, 113423713055421844361000443 (sequence A000058 in OEIS).Sylvester's sequence is named after James Joseph Sylvester, who first investigated it in 1880.".
- Q2293800 label "Sylvester's sequence".
- Q2293800 depiction Sylvester-square.svg.
