113423713055421844361000443 (sequence A000058 in the OEIS). Sylvester's sequence is named after James Joseph Sylvester, who first investigated it in 1880...

non-greedy representation, ⁠1/12⁠ + ⁠1/63⁠ + ⁠1/2799⁠ + ⁠1/8708⁠. Sylvester's sequence 2, 3, 7, 43, 1807, ... (OEIS: A000058) can be viewed as generated...

lines. Sylvester matroid, a matroid without any two-point lines. Sylvester's determinant identity. Sylvester's matrix theorem, a.k.a. Sylvester's formula...

prime. It is also the third Wagstaff prime. 43 is the fourth term of Sylvester's sequence, one more than the product of the previous terms (2 × 3 × 7). 43...

considered similar problems around the same time. The initial terms of Sylvester's sequence almost solve this problem, except that the last chosen term equals...

442 = product of the first five terms of Sylvester's sequence 3,263,443 = sixth term of Sylvester's sequence 3,276,509 = Markov prime 3,294,172 = 22×77...

the same as the sequence of prime factors of Sylvester's sequence. Like the Euclid–Mullin sequence, this is a non-monotonic sequence of primes, but it...

geometry he is remembered for Sylvester's problem and a result on the orchard problem, and in matrix theory he discovered Sylvester's determinant identity, which...

fractions that most rapidly converge to 1 are the reciprocals of Sylvester's sequence, which generate the infinite Egyptian fraction 1 = 1 2 + 1 3 + 1...

{\displaystyle 1} : see, Sylvester's sequence s ( n ) {\displaystyle s(n)} . The product of the first four terms in Sylvester's sequence 2 × 3 × 7 × 43 = 1806...

the pentatope numbers is ⁠4/ 3 ⁠ . Sylvester's sequence is an integer sequence in which each member of the sequence is the product of the previous members...

− 1 − 1 {\displaystyle MM(p)=2^{2^{p}-1}-1} The elements of Sylvester's sequence (sequence A000058 in the OEIS) s n = ⌊ E 2 n + 1 + 1 2 ⌋ {\displaystyle...

643410546288...} (sequence A118227 in the OEIS) Here ( s i ) i ≥ 0 {\displaystyle (s_{i})_{i\geq 0}} denotes Sylvester's sequence, which is defined recursively...

Sylvester's law of inertia is a theorem in matrix algebra about certain properties of the coefficient matrix of a real quadratic form that remain invariant...

four (2, 6, 42, 1806) are one less than the first four numbers in Sylvester's sequence. Sphenic numbers always have exactly eight divisors. A polygon with...

prime factor of the 9th number in Sylvester's sequence, and is the 15th prime to divide any number in the sequence. There are 1987 polyiamonds with 12...

is a list of notable integer sequences with links to their entries in the On-Line Encyclopedia of Integer Sequences. OEIS core sequences Index to OEIS...

A000058 : Sylvester's sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 12 June 2016. Sloane, N. J. A. (ed.). "Sequence A083186...

{\displaystyle 2^{2^{n}}} , form an irrationality sequence. However, although Sylvester's sequence 2, 3, 7, 43, 1807, 3263443, ... (in which each term...

for the fractions in the sequence ⁠1/2⁠, ⁠2/3⁠, ⁠6/7⁠, ⁠42/43⁠, ⁠1806/1807⁠, ... whose denominators form Sylvester's sequence. It has been conjectured...

examples include the set of all prime numbers, the set of elements in Sylvester's sequence, and the set of all Fermat numbers. Two ideals A and B in a commutative...

infinite series of unit fractions, with alternating signs, derived from Sylvester's sequence Cahen–Mellin integral, an integral transform Albert Cahen (1846–1903)...

There are only four of them: 2, 3, 7 and 43 (a sequence suspiciously similar to Sylvester's sequence). Burris & Lee (1993) found that about a fifth of...

flashback sequence, young Sylvester looks like Sylvester Jr. and Sylvester's father looks like the adult Sylvester. He is seen in one of the "Mysterious Phenomenon...

prime Primality test Proth's theorem Pseudoprime Sierpiński number Sylvester's sequence For any positive odd number m {\displaystyle m} , 2 2 k m + 1 = (...

"Backhouse's Constant". MathWorld. Weisstein, Eric W. "Random Fibonacci Sequence". MathWorld. Weisstein, Eric W. "Komornik-Loreti Constant". MathWorld....

mathematics, Sylvester’s criterion is a necessary and sufficient criterion to determine whether a Hermitian matrix is positive-definite. Sylvester's criterion...

of Liber Abaci (Book of Calculation) and also introduced Europe to the sequence of Fibonacci numbers, which he used as an example in Liber Abaci. Fibonacci...

(sequence A054377 in the OEIS). The first four of these numbers are one less than the corresponding numbers in Sylvester's sequence, but then...

James Patrick Kent-Smith (born 20 August 1943), known professionally as Sylvester McCoy, is a Scottish actor. Gaining prominence as a physical comedian...