80 Lucas numbers

How many Lucas Numbers?

Generate the first 80 Lucas numbers

What are Lucas Numbers?

An integer sequence named after Francois Lucas

Lucas Number Algorithm:

L_n = L_{n - 1} + L_{n - 2}

where L₀ = 1 and L₁ = 1

Show the first 80 Lucas Numbers:

N/A = 2

N/A = 1

1 + 2 = 3

3 + 1 = 4

4 + 3 = 7

7 + 4 = 11

11 + 7 = 18

18 + 11 = 29

29 + 18 = 47

47 + 29 = 76

76 + 47 = 123

123 + 76 = 199

199 + 123 = 322

322 + 199 = 521

521 + 322 = 843

843 + 521 = 1,364

1,364 + 843 = 2,207

2,207 + 1,364 = 3,571

3,571 + 2,207 = 5,778

5,778 + 3,571 = 9,349

9,349 + 5,778 = 15,127

15,127 + 9,349 = 24,476

24,476 + 15,127 = 39,603

39,603 + 24,476 = 64,079

64,079 + 39,603 = 103,682

103,682 + 64,079 = 167,761

167,761 + 103,682 = 271,443

271,443 + 167,761 = 439,204

439,204 + 271,443 = 710,647

710,647 + 439,204 = 1,149,851

1,149,851 + 710,647 = 1,860,498

1,860,498 + 1,149,851 = 3,010,349

3,010,349 + 1,860,498 = 4,870,847

4,870,847 + 3,010,349 = 7,881,196

7,881,196 + 4,870,847 = 12,752,043

12,752,043 + 7,881,196 = 20,633,239

20,633,239 + 12,752,043 = 33,385,282

33,385,282 + 20,633,239 = 54,018,521

54,018,521 + 33,385,282 = 87,403,803

87,403,803 + 54,018,521 = 141,422,324

141,422,324 + 87,403,803 = 228,826,127

228,826,127 + 141,422,324 = 370,248,451

370,248,451 + 228,826,127 = 599,074,578

599,074,578 + 370,248,451 = 969,323,029

969,323,029 + 599,074,578 = 1,568,397,607

1,568,397,607 + 969,323,029 = 2,537,720,636

2,537,720,636 + 1,568,397,607 = 4,106,118,243

4,106,118,243 + 2,537,720,636 = 6,643,838,879

6,643,838,879 + 4,106,118,243 = 10,749,957,122

10,749,957,122 + 6,643,838,879 = 17,393,796,001

17,393,796,001 + 10,749,957,122 = 28,143,753,123

28,143,753,123 + 17,393,796,001 = 45,537,549,124

45,537,549,124 + 28,143,753,123 = 73,681,302,247

73,681,302,247 + 45,537,549,124 = 119,218,851,371

119,218,851,371 + 73,681,302,247 = 192,900,153,618

192,900,153,618 + 119,218,851,371 = 312,119,004,989

312,119,004,989 + 192,900,153,618 = 505,019,158,607

505,019,158,607 + 312,119,004,989 = 817,138,163,596

817,138,163,596 + 505,019,158,607 = 1,322,157,322,203

1,322,157,322,203 + 817,138,163,596 = 2,139,295,485,799

2,139,295,485,799 + 1,322,157,322,203 = 3,461,452,808,002

3,461,452,808,002 + 2,139,295,485,799 = 5,600,748,293,801

5,600,748,293,801 + 3,461,452,808,002 = 9,062,201,101,803

9,062,201,101,803 + 5,600,748,293,801 = 14,662,949,395,604

14,662,949,395,604 + 9,062,201,101,803 = 23,725,150,497,407

23,725,150,497,407 + 14,662,949,395,604 = 38,388,099,893,011

38,388,099,893,011 + 23,725,150,497,407 = 62,113,250,390,418

62,113,250,390,418 + 38,388,099,893,011 = 100,501,350,283,429

100,501,350,283,429 + 62,113,250,390,418 = 162,614,600,673,847

162,614,600,673,847 + 100,501,350,283,429 = 263,115,950,957,276

263,115,950,957,276 + 162,614,600,673,847 = 425,730,551,631,123

425,730,551,631,123 + 263,115,950,957,276 = 688,846,502,588,399

688,846,502,588,399 + 425,730,551,631,123 = 1,114,577,054,219,522

1,114,577,054,219,522 + 688,846,502,588,399 = 1,803,423,556,807,921

1,803,423,556,807,921 + 1,114,577,054,219,522 = 2,918,000,611,027,443

2,918,000,611,027,443 + 1,803,423,556,807,921 = 4,721,424,167,835,364

4,721,424,167,835,364 + 2,918,000,611,027,443 = 7,639,424,778,862,807

7,639,424,778,862,807 + 4,721,424,167,835,364 = 12,360,848,946,698,172

12,360,848,946,698,172 + 7,639,424,778,862,807 = 20,000,273,725,560,976

20,000,273,725,560,976 + 12,360,848,946,698,172 = 32,361,122,672,259,148

What is the Answer?

32,361,122,672,259,148

How does the Lucas Numbers Calculator work?

Free Lucas Numbers Calculator - Generates a list of the first 100 Lucas numbers.
This calculator has 1 input.

What 1 formula is used for the Lucas Numbers Calculator?

L_n = L_{n - 1} + L_{n - 2} where L₀ = 2 and F₁ = 1

For more math formulas, check out our Formula Dossier

What 8 concepts are covered in the Lucas Numbers Calculator?

algorithm: A process to solve a problem in a set amount of time
fibonacci: a number, commonly denoted F_n, which form the Fibonacci sequence, in which each number is the sum of the two preceding ones
generator: software algorithm that generates a number that is taken from a limited or unlimited distribution and outputs it
lucas numbers
notation: An expression made up of symbols for representing operations, unspecified numbers, relations and any other mathematical objects
number: an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
recursive algorithm: an algorithm which calls itself with smaller (or simpler) input values, and which obtains the result for the current input by applying simple operations to the returned value for the smaller (or simpler) input.
sequence: an arrangement of numbers or collection or objects in a particular order

Example calculations for the Lucas Numbers Calculator

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