in the Lucas sequence are known as Lucas numbers. Lucas numbers and Fibonacci numbers form complementary instances of Lucas sequences. The Lucas sequence...

known whether any Lucas–Carmichael number is also a Carmichael number. Thomas Wright proved in 2016 that there are infinitely many Lucas–Carmichael numbers...

the numbers derived from it to John Pell. The Pell–Lucas numbers are also named after Édouard Lucas, who studied sequences defined by recurrences of this...

{\displaystyle F_{n}} is the nth Fibonacci number. Jacobsthal–Lucas numbers represent the complementary Lucas sequence V n ( 1 , − 2 ) {\displaystyle V_{n}(1...

the number 54. Squares: Sum of squares of two consecutive integers, 17 and 18. Additional properties: a lucky number, index of prime Lucas number. In...

hundred [and] twenty-three) is the natural number following 122 and preceding 124. 123 is a Lucas number. It is the eleventh member of the Mian–Chowla...

Édouard Anatole Lucas (French pronunciation: [fʁɑ̃swa edwaʁ anatɔl lykɑ]; 4 April 1842 – 3 October 1891) was a French mathematician. Lucas is known for his...

closely related to Lucas numbers, which obey the same recurrence relation and with the Fibonacci numbers form a complementary pair of Lucas sequences. The...

is prime, number of series-reduced trees with 18 nodes 843 = 3 × 281, Lucas number 844 = 22 × 211, nontotient, smallest 5 consecutive integers which are...

0 and 1, or it's a sum of distinct powers of 4 (45 + 40); Jacobsthal-Lucas number; hypotenuse of primitive Pythagorean triangle 1026 = sum of two distinct...

general form and the seventh of the form (22.q). a Lucas number. a telephone or involution number, the number of different ways of connecting 6 points with...

Lucas has founded and supported multiple philanthropic organizations and campaigns dedicated to education and the arts, including the George Lucas Educational...

Look up Lucas in Wiktionary, the free dictionary. Lucas or LUCAS may refer to: Lucas (surname) Lucas (given name) Luca Family Singers, or the Lucas, a 19th-century...

\ldots } ⁠ (OEIS: A000045). The sequence of Lucas numbers (not to be confused with the generalized Lucas sequences, of which this is part) is like the...

a simple efficient test to determine whether a given Mersenne number is prime: the Lucas–Lehmer primality test (LLT), which makes it much easier to test...

prime Lucas number. an isolated prime 504 = 23 × 32 × 7. It is: the sum between the smallest pair of amicable numbers (220, 284). a tribonacci number. a...

a happy number an Armstrong number - in base 4 ( 3×42 + 1×41 + 3×40 = 33 + 13 + 33 ) an index of a prime Lucas number. a palindromic number in base 2...

if the modulo base is a Lucas number (≥ 3) with an even index, the period is four times the index. If the base is a Lucas number (≥ 4) with an odd index...

491, 499, 503, 509, 541, 571, 577, 593 (OEIS: A001913) Primes in the Lucas number sequence L0 = 2, L1 = 1, Ln = Ln−1 + Ln−2. 2, 3, 7, 11, 29, 47, 199,...

number is the sum of five consecutive prime numbers (19 + 23 + 29 + 31 + 37). It is the smallest factor of 64079 which is the smallest Lucas number with...

number 3559 – super-prime 3569 – highly cototient number 3570 – triangular number 3571 – 500th prime, Cuban prime of the form x = y + 1, 17th Lucas number...

destinations, Cabo San Lucas is known for its beaches, scuba diving locations, Balnearios, the sea arch El Arco de Cabo San Lucas, and marine life. The...

irregular prime, a prime that is one more than a square, and a Jacobsthal–Lucas number. Four-fold 257 is 1028, which is the prime index of the fifth Mersenne...

322 is a sphenic, nontotient, untouchable, and a Lucas number. It is also the first unprimeable number to end in 2. 324 = 22 × 34 = 182. 324 is the sum...

a prime number p in terms of the base p expansions of the integers m and n. Lucas's theorem first appeared in 1878 in papers by Édouard Lucas. For non-negative...

64079 is the twenty-third Lucas number and is thus often written as L23. It is significant for being the first Lucas number Ln where n is prime that is...

is the only prime pronic number. It is also the only pronic number in the Fibonacci sequence and the only pronic Lucas number. The arithmetic mean of two...

 p + 6). It is the index of a prime Lucas number. 613 is a centered square number with 18 per side, a circular number of 21 with a square grid and 27 using...

Gary Maurice "Joyner" Lucas Jr. (born August 17, 1988) is an American rapper, actor and entrepreneur. Lucas first received exposure after the release...

Thorne-Smith. Thorne-Smith and Winona Ryder made their film debuts in Lucas. Lucas Blye is a 14-year-old high school student in suburban Chicago. He becomes...