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Number of the form x^y + y^x
In number theory, a Leyland number is a number of the form x y + y x {\displaystyle x^{y}+y^{x}} where x and y are integers greater than 1. They are named
Leyland_number
Natural number
metric prefix tera- 1,099,511,629,376 : Leyland number using 2 & 40 (240 + 402) 1,099,511,787,776 : Leyland number using 4 & 20 (420 + 204) 1,111,111,111
1,000,000,000,000
Natural number
073,742,724 : Leyland number using 2 and 30 (230 + 302) 1,073,792,449 : Leyland number using 4 and 15 (415 + 154) 1,093,104,961 : number of (unordered
1,000,000,000
Natural number
Leonardo prime 129,145,076 = Leyland number using 3 & 17 (317 + 173) 129,644,790 = Catalan number 130,150,588 = number of 33-bead binary necklaces with
100,000,000
Natural number
220, the number of bytes in a mebibyte (previously called a megabyte) 1,048,976 = smallest 7 digit Leyland number 1,058,576 = Leyland number 1,058,841
1,000,000
Natural number
13,079,255 = Number of free 16-ominoes 13,782,649 = Markov number 14,352,282 = Leyland number = 315 + 153 14,549,535 = Smallest number divisible by the
10,000,000
Natural number
smallest natural number requiring 19 syllables in American English, 21 in British English 178,478 = Leyland number 181,440 = highly totient number 181,819 =
100,000
Natural number
977 = number of parallelogram polyominoes with 29 cells. 10,460,362,464 = Leyland number using 3 & 21 (321 + 213) 10,480,142,147 = 16th Bell number. 11
10,000,000,000
Natural number
a Harshad number, a lucky prime, a happy number (happy prime), a safe prime (the only Mersenne safe prime), a sexy prime, a Leyland number of the second
7
Lorry and bus manufacturer
Leyland Motors Limited (later known as the Leyland Motor Corporation) was an English vehicle manufacturer of lorries, buses and trolleybuses. The company
Leyland_Motors
Natural number
62, thus 100 is the seventh Leyland number. 100 is also the seventeenth Erdős–Woods number, and the fourth 18-gonal number. In medieval contexts, it may
100
Natural number
deficient number. Since both prime factors are congruent to 3 modulo 4, 57 = 3 ⋅ 19 {\displaystyle 57=3\cdot 19} is a Blum integer. It is a Leyland number, because
57_(number)
Natural number
smallest number that can be expressed as four sums with the same product in this way. Because of its expression as 118 = 35 − 53, it is a Leyland number of
118_(number)
American baseball manager (born 1944)
James Richard Leyland (born December 15, 1944) is an American former professional baseball player, coach and manager. He serves as a special assistant
Jim_Leyland
Natural number
Because its only prime factors are 2 and 3, it is a 3-smooth number. 192 is a Leyland number of the second kind using 2 & 8 ( 2 8 − 8 2 {\displaystyle 2^{8}-8^{2}}
192_(number)
Natural number
(seventeen) is the natural number following 16 and preceding 18. It is a prime number. 17 is a Leyland number and Leyland prime, using 2 and 3 (23 + 32)
17_(number)
is a pronic number. 1123 is a balanced prime. 1124 = 22 × 281. It is a Leyland number using 2 & 10: 1124 = 210 + 102. It is a spy number. 1126 = 2 × 563
1000_(number)
Topics referred to by the same term
Leyland may refer to: Leyland, Lancashire, an English town Leyland Hundred, an hundred of Lancashire, England Leyland, Alberta, a community in Canada
Leyland
Natural number
integers: 22 × 24 = 528 {\displaystyle 22\times 24=528} . 32 is also a Leyland number expressible in the form x y + y x {\displaystyle x^{y}+y^{x}} , where:
32_(number)
Natural number
312 = Leyland number: 66 + 66. Also a 3-smooth number. 94,249 = palindromic square: 3072 94,932 = Leyland number: 75 + 57 95,121 = Kaprekar number: 951212
90,000
Natural number
18679, 18691} 18620 = harmonic divisor number 18785 = Leyland number using 4 & 7 (47 + 74) 18800 = initial number of first century xx00 to xx99 containing
10,000
Natural number
proper Leyland number of the form xy + yx, where in its case x and y both equal 2. 8 is a Fibonacci number and the only nontrivial Fibonacci number that
8
Natural number
× 5). It is a Leyland number, and the maximum determinant of a 10 by 10 matrix of zeros and ones. 321 = 3 × 107. It is a Delannoy number 322 = 2 × 7 ×
300_(number)
Natural number
triangular number 2160 – largely composite number 2162 – pronic number 2166 – sum of the totient function for the first 84 integers 2169 – Leyland number 2175
2000_(number)
Natural number
the natural number that follows 59,999 and precedes 60,001. It is the value of φ {\displaystyle \varphi } (75025). 60,049 = Leyland number using 3 & 10
60,000
Natural number
super-prime 6229 – super-prime 6232 – amicable number with 6368 6241 = 792, centered octagonal number 6250 – Leyland number 6263 – Sophie Germain prime, balanced
6000_(number)
Truck manufacturer
Leyland Trucks is a medium- and heavy-duty truck manufacturer based in Leyland, Lancashire, United Kingdom. It can trace its origins back to the original
Leyland_Trucks
1968–1986 automotive manufacturing conglomerate
British Leyland was a British automotive engineering and manufacturing conglomerate formed in 1968 as British Leyland Motor Corporation Ltd (BLMC), following
British_Leyland
Motor vehicle
The Leyland P76 is a large car that was produced by Leyland Australia, the Australian subsidiary of British Leyland. Featuring what was described at the
Leyland_P76
Natural number
43 + 47 + 53 + 59 + 61 + 67). 513 = 33 × 19. It is a Harshad number and a Leyland number of the second kind, using 3 & 6 (36 - 63). It is palindromic
500_(number)
Natural number
seventy-seven) is the natural number following 176 and preceding 178. One hundred and seventy-seven is the eighth Leyland number, where 177 = 2 7 + 7 2 . {\displaystyle
177_(number)
Natural number
different pairs of squares. Also, 145 is the result of 34 + 43, making it a Leyland number. 145 = 1 ! + 4 ! + 5 ! {\displaystyle 145=1!+4!+5!} , making it a factorion
145_(number)
British double-decker chassis with front-mounted engine
The Leyland Titan was a forward-control chassis with a front-mounted engine designed to carry double-decker bus bodywork. It was built mainly for the
Leyland Titan (front-engined double-decker)
Leyland_Titan_(front-engined_double-decker)
Natural number
natural number following 511 and preceding 513. 512 is a power of two: 29 (2 to the 9th power) and the cube of 8: 83. It is the eleventh Leyland number. It
512_(number)
Natural number
Lehmer-Comtet number. 945 = 33 × 5 × 7. It is a Leyland number, the smallest odd abundant number, the smallest odd primitive abundant number, and the smallest
900_(number)
Indian multinational automotive company
Ashok Leyland Limited is an Indian multinational automotive manufacturer headquartered in Chennai and owned by the Hinduja Group. Founded in 1948 as Ashok
Ashok_Leyland
Natural number
20230 = pentagonal pyramidal number 20412 = Leyland number: 93 + 39 20540 = square pyramidal number 20569 = tetranacci number 20593 = unique prime in base
20,000
Natural number
base 6 8361 – Leyland number 8363 – prime number, number of prime numbers having five digits 8377 – super-prime 8385 – triangular number 8389 – super-prime
8000_(number)
English socialite, brand collaborator, writer and business owner
Alice Naylor-Leyland (née Dawson; born March 30, 1986) is an English socialite, brand collaborator, writer and business owner. Naylor-Leyland was born in
Alice_Naylor-Leyland
Natural number
prime, balanced prime 5392 – Leyland number 5393 – balanced prime 5399 – Sophie Germain prime, safe prime 5402 – number of non-equivalent ways of expressing
5000_(number)
Natural number
super-prime 7073 – Leyland number 7079 – Sophie Germain prime, safe prime 7103 – Sophie Germain prime, sexy prime with 7109 7106 – octahedral number 7109 – super-prime
7000_(number)
2 and 3-axle step-entrance double-decker bus chassis
The Leyland Olympian is a 2-axle and 3-axle double-decker bus chassis that was manufactured by Leyland between 1980 and 1993. It was the last Leyland bus
Leyland_Olympian
Integral rear-engined single-deck bus
The Leyland National is an integrally constructed British step-floor single-decker bus manufactured in large quantities between 1972 and 1985. It was
Leyland_National
Natural number
centered hexagonal number 4225 = 652, centered octagonal number 4227 – sum of the first 46 primes 4240 – Leyland number 4257 – decagonal number 4259 – safe prime
4000_(number)
Motor vehicle
The Leyland Tiger, also known as the B43, was a mid-engined bus and coach chassis manufactured by Leyland between 1981 and 1992. This name had previously
Leyland_Tiger
Motor vehicle
The Leyland Comet was a long running badge used by Leyland for a series of trucks (and the occasional bus) intended mainly for export markets. The name
Leyland_Comet
British bus & train manufacturer
British Leyland, as a management buyout of the group's bus business. Leyland Bus was subsequently acquired by Volvo Buses in 1988, with the Leyland name
Leyland_Bus
British mid-engined single-decker bus and coach chassis
The Leyland Leopard was a mid-engined single-decker bus and single-decker coach chassis manufactured by Leyland between 1959 and 1982. The Leyland Leopard
Leyland_Leopard
British tractor manufacturer
Leyland tractors was a tractor manufacturer in the United Kingdom. It was created after the merger of the British Motor Corporation (BMC) with Leyland
Leyland_Tractors
Rear engined double decker bus
The Leyland Atlantean is a predominantly double-decker bus chassis manufactured by Leyland Motors between 1958 and 1986. Only 17 Atlantean chassis were
Leyland_Atlantean
British rear-engined single-decker bus chassis
The Leyland Panther was a rear-engined single-decker bus chassis manufactured by Leyland between the years 1964 and 1972. A version with a smaller engine
Leyland_Panther
English cricketer (1900–1967)
Maurice Leyland (20 July 1900 – 1 January 1967) was an English international cricketer who played 41 Test matches between 1928 and 1938. In first-class
Maurice_Leyland
Natural number
A123206 (Leyland prime numbers of the second kind)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Media related to 79 (number) at Wikimedia
79_(number)
Former British commercial vehicle manufacturing company
Leyland DAF was a commercial vehicle manufacturing company based in Leyland, United Kingdom, and a subsidiary of DAF NV. In February 1993, Leyland DAF
Leyland_DAF
Australian explorers and filmmakers
The Leyland brothers were an English-born Australian duo of explorers and documentary filmmakers, consisting of Michael James "Mike" Leyland, MBE (4 September
Leyland_brothers
British military truck
The Leyland 4-tonne truck was produced by Leyland Trucks in Lancashire. It was developed for the British Army and won the competition to replace a fleet
Leyland_4-tonne_truck
Integral rear-engined double-decker bus
The Leyland B15 Titan is a rear-engined double-decker bus manufactured by British Leyland between 1977 and 1984, primarily for London Transport. First
Leyland_Titan_(B15)
British truck
The Leyland Landtrain was a heavy truck that was produced in the 1980s by British Leyland. Designed for the export markets in Africa, Asia, Latin America
Leyland_Landtrain
Step-entrance integral single-deck bus
The Leyland Lynx is a step-entrance integral single-deck bus manufactured by Leyland Bus in Workington, England between 1986 and 1992. Internally marketed
Leyland_Lynx
Range of trucks produced for the Indian Army
was granted by Ashok Leyland to produce the Stallion Mk III variant at Vehicle Factory Jabalpur. In February 2005, Ashok Leyland began to market the Stallion
Ashok_Leyland_Stallion
Indian multinational conglomerate based in Mumbai
Hinduja Housing Finance Ltd. Ashok Leyland Switch Mobility Ashok Leyland Foundries – a division of Ashok Leyland, also known as Hinduja Foundries P.D
Hinduja_Group
Motor vehicle
The Leyland Royal Tiger was a rear-engined semi-integral luxury coach chassis manufactured by Leyland Bus between 1982 and 1987. Launched in October 1982
Leyland_Royal_Tiger
British number theorist
Paul Leyland is a British astronomer and number theorist who has studied integer factorization and primality testing. He has contributed to the factorization
Paul_Leyland
Motor vehicle
Leyland Cub CU series was a midibus manufactured by Leyland between 1979 and 1987. There was a previous Leyland Cub, the K series built at Leyland's Ham
Leyland_Cub
British lightweight underfloor-engined bus chassis
The Leyland Tiger Cub (coded as PSUC1) was a lightweight underfloor-engined chassis manufactured by Leyland between 1952 and 1970. The Leyland Tiger Cub
Leyland_Tiger_Cub
Motor vehicle
family car that was manufactured by the Austin-Morris division of British Leyland (BL) from 1971 until 1980. It served to replace both the Morris Minor and
Morris_Marina
Indian defence contractor
Ashok Leyland Defence Systems is a Hinduja Group company involved in manufacturing military trucks such as the widely used Stallion troop carriers. Ashok
Ashok_Leyland_Defence_Systems
Danish articulated bus
The Leyland-DAB articulated bus is an articulated bus that was manufactured by Leyland-DAB in Denmark. The Leyland-DAB artic found customers in Denmark
Leyland-DAB_articulated_bus
System for identifying vehicles
vehicle identification number (VIN; also called a chassis number or frame number) is a unique code, including a serial number, used by the automotive
Vehicle_identification_number
British rear-engined double-decker bus chassis
The Daimler Fleetline (known as the Leyland Fleetline from circa 1975) is a rear-engined double-decker bus chassis which was built between 1960 and 1983
Daimler_Fleetline
1925 Railmotor by Victorian Railways, Australia
the units were designated the LP class and numbered LP 1 and LP 2. While sharing the same 100 hp Leyland petrol engine and wooden body design as the
Leyland_railmotor
Motor vehicle
The Leyland-MCW Olympic was an underfloor-engined single-deck bus manufactured for at least eighteen countries from 1949 to 1971. 3,564 Olympics were
Leyland-MCW_Olympic
Prime number of the form 2^n – 1
2305843009213693951 http://www.leyland.vispa.com/numth/factorization/cunningham/2-.txt Archived 2014-11-05 at the Wayback Machine http://www.leyland.vispa
Mersenne_prime
Number used for counting
natural-number results: subtracting a larger natural number from a smaller one results in a negative number and dividing one natural number by another
Natural_number
Number divisible only by 1 and itself
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that
Prime_number
British light utility vehicle (1963–1993)
and subsequently marketed for civilian use under the Austin, Morris, Leyland, and Moke brands. The name "Mini Moke" combines mini with moke, an archaic
Mini_Moke
Car brand and former British car company
that created British Leyland Motor Corporation (BLMC). The MG marque continued to be used by the successors of BLMC: British Leyland, the Rover Group and
MG_Cars
Step-entrance coach and bus bodywork
assembled with a light aluminium frame on the Dennis Lancet, Leyland Leopard, Leyland Tiger, Scania K92CRB and Volvo B10M chassis. After securing a handful
Alexander_Y_Type
British vehicle manufacturing company
with Leyland Motor Corporation (Standard-Triumph, Rover and Alvis cars, Leyland trucks and buses, Alvis fighting vehicles) to form British Leyland Motor
British_Motor_Holdings
Motor vehicle
The Leyland Royal Tiger PSU was an underfloor-engined bus and coach chassis manufactured by Leyland between 1950 and 1954. The Leyland Royal Tiger was
Leyland_Royal_Tiger_PSU
Automobile manufacturer
with Leyland Motors, which made trucks and buses and owned both Standard-Triumph International and the Rover Company to become British Leyland. BMC was
British_Motor_Corporation
Numbers obtained by adding the two previous ones
month, the number of pairs of rabbits is equal to the number of mature pairs (that is, the number of pairs in month n – 2) plus the number of pairs alive
Fibonacci_sequence
Motor vehicle
to Leyland with the chassis relaunched as the Leyland Super Viking. Production ceased in 1984. The Leyland Super Viking was purchased by a number of Sydney
Leyland_Super_Viking
Number equal to the sum of its proper divisors
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number
Perfect_number
Defunct association football club in Leyland, England
Leyland F.C. was an association football club from Leyland, Lancashire, active in the early part of the 20th century. The earliest references to the club
Leyland_F.C.
English engineer, industrialist, army officer and nobleman
was the managing director of Leyland Motors from 1962 to 1968 and the chief executive of its successor British Leyland from 1968 to 1975. Stokes was
Donald_Stokes,_Baron_Stokes
British single-deck midibus chassis
The Leyland Swift was a midibus chassis manufactured by Leyland between 1987 and 1990 as a successor to the Leyland Cub. It shared many components with
Leyland_Swift
Motor vehicle
The Leyland Tiger is a heavyweight half-cab single-decker bus and coach chassis built by Leyland Motors between 1927 — 1942 and 1946 — 1968. The Tiger
Leyland_Tiger_(front-engined)
Former Australian manufacturing company
absorbed into the newly established British Leyland Motor Corporation of Australia, the name of which became Leyland Motor Corporation of Australia in 1972
British Motor Corporation (Australia)
British_Motor_Corporation_(Australia)
Former British automotive company
manufacturing conglomerate known as "BL plc" until 1986 (formerly British Leyland), which had been a state-owned company since 1975. It initially included
Rover_Group
Dutch truck manufacturing company
truck models sold with the DAF brand are designed and built by Leyland Trucks at its Leyland plant in the United Kingdom. In 1928, Hubert "Hub" van Doorne
DAF_Trucks
British car model from 1959 to 2000
variants, by the British Motor Corporation (BMC) and its successors British Leyland and the Rover Group, and finally (briefly) under BMW ownership. Minis were
Mini
British car manufacturing company, 1885–1984
The company was acquired by Leyland Motors in 1960, ultimately becoming part of the giant conglomerate British Leyland (BL) in 1968, where the Triumph
Triumph_Motor_Company
Former British van manufacturer
formerly Leyland DAF Vans, was a British van manufacturer based in Washwood Heath, Birmingham. Historically part of Rover Group and Leyland DAF, it was
LDV_Group
Major League Baseball season
Retrieved October 1, 2024. Detroit Tigers to retire former coach Jim Leyland's number at Comerica Park WJBK (Fox 2), August 1, 2024 "Why new Tigers play-by-play
2024_Detroit_Tigers_season
Motor vehicle
were wider and longer versions of the Freight Rover Sherpa, based on the Leyland Sherpa series of vans from 1974 and later known as the LDV Pilot. Originally
LDV_Convoy
Car marque owned by Jaguar Land Rover and former British car company
merged with Leyland Motor Corporation and became British Leyland, itself to be nationalised in 1975. Jaguar was spun off from British Leyland and was listed
Jaguar_Cars
Motor vehicle
small number of additional 320 bodies were built as the Plaxton 321. When it was launched the 320 was available on 11-metre long Bedford YNT and Leyland Tiger
Duple_300_Series
Series of SUV models
Jaguar Land Rover. The Range Rover line was launched in 1970 by British Leyland and since 2022 is in its fifth generation. Additional models have been
Range_Rover
Integer having a non-trivial divisor
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly, it is a positive integer that has
Composite_number
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