This page contains lottery-related numbers.

## 5/n lotteries Edit

- In Pennsylvania, there is a 5/30 lottery called
*Treasure Hunt*, where you must pick 5 numbers out of 30. Therefore, the number of possible combinations is equal to_{30}C_{5}=**142,506**.- Its prime factorization is 2 × 3
^{3}× 7 × 13 × 29.

- Its prime factorization is 2 × 3
- In Virginia, there is a 5/34 lottery called
*Cash 5*, where you must pick 5 numbers out of 34. Therefore, the number of possible combinations is equal to_{34}C_{5}=**278,256**.- Its prime factorization is 2
^{4}× 3 × 11 × 17 × 31.

- Its prime factorization is 2
- In Russia, there is a 5/36 lottery, where you must pick 5 numbers out of 36. Therefore, the number of possible combinations is equal to
_{36}C_{5}=**376,992**.- Its prime factorization is 2
^{5}× 3^{2}× 7 × 11 × 17.

- Its prime factorization is 2
- In New York, there is a 5/39 lottery called
*Take 5*, where you must pick 5 numbers out of 39. Therefore, the number of possible combinations is equal to_{39}C_{5}=**575,757**.- Its prime factorization is 3
^{2}× 7 × 13 × 19 × 37.

- Its prime factorization is 3
- In Iceland, there is a 5/40 lottery, where you must pick 5 numbers out of 40. Therefore, the number of possible combinations is equal to
_{40}C_{5}=**658,008**.- Its prime factorization is 2
^{3}× 3^{2}× 13 × 19 × 37.

- Its prime factorization is 2
- In North Carolina, there is a 5/41 lottery called
*Carolina Cash 5*, where you must pick 5 numbers out of 41. Therefore, the number of possible combinations is equal to_{41}C_{5}=**749,398**.- Its prime factorization is 2 × 13 × 19 × 37 × 41.

- In the U.S. state of Georgia, there is a 5/42 lottery called
*Fantasy 5*, where you must pick 5 numbers out of 42. Therefore, the number of possible combinations is equal to_{42}C_{5}=**850,668**.- Its prime factorization is 2
^{2}× 3 × 7 × 13 × 19 × 41.

- Its prime factorization is 2
- In Pennsylvania, there is a 5/43 lottery called
*Cash 5*, where you must pick 5 numbers out of 43. Therefore, the number of possible combinations is equal to_{43}C_{5}=**962,598**.- Its prime factorization is 2 × 3 × 7 × 13 × 41 × 43.

- In Ukraine, there is a 5/45 lottery, where you must pick 5 numbers out of 45. Therefore, the number of possible combinations is equal to
_{45}C_{5}=**1,221,759**.- Its prime factorization is 3
^{2}× 7 × 11 × 41 × 43.

- Its prime factorization is 3
- In Uruguay, there is a 5/48 lottery, where you must pick 5 numbers out of 48. Therefore, the number of possible combinations is equal to
_{48}C_{5}=**1,712,304**.- Its prime factorization is 2
^{4}× 3^{2}× 11 × 23 × 47.

- Its prime factorization is 2
- In the card game of poker, a poker hand can be any combination of 5 cards of a standard 52-card deck. Therefore, the number of possible combinations is equal to
_{52}C_{5}=**2,598,960**.- It is also equal to the number of possible combinations in a 5/52 lottery available in some U.S. states, such as Arizona, Indiana and Kentucky, where you must pick 5 cards out of 52, or they are generated by a terminal.
- Its prime factorization is 2
^{4}× 3 × 5 × 7^{2}× 13 × 17.

- In some countries, such as Italy, there is a 5/90 lottery, where you must pick 5 numbers out of 90. The number of possible combinations is equal to
_{90}C_{5}=**43,949,268**.- Its prime factorization is 2
^{2}× 3^{2}× 11 × 29 × 43 × 89.

- Its prime factorization is 2

## 6/n lotteries Edit

- In the country of Georgia, there is a 6/36 lottery, where you must pick 6 numbers out of 36. Therefore, the number of possible combinations is equal to
_{36}C_{6}=**1,947,792**.- Its prime factorization is 2
^{4}× 3 × 7 × 11 × 17 × 31.

- Its prime factorization is 2
- In New Zealand, there is a 6/40 lottery called
*Lotto*, where you must pick 6 numbers out of 40. Therefore, the number of possible combinations is equal to_{40}C_{6}=**3,838,380**.- Its prime factorization is 2
^{2}× 3 × 5 × 7 × 13 × 19 × 37.

- Its prime factorization is 2
- In the Philippines, there is a 6/42 lottery, where you must pick 6 numbers out of 42. Therefore, the number of possible combinations is equal to
_{42}C_{6}=**5,245,786**.- Its prime factorization is 2 × 7 × 13 × 19 × 37 × 41.

- In Japan, there is a 6/43 lottery, where you must pick 6 numbers out of 43. Therefore, the number of possible combinations is equal to
_{43}C_{6}=**6,096,454**.- Its prime factorization is 2 × 7 × 13 × 19 × 41 × 43.

- In some countries, such as the Netherlands, there is a 6/45 lottery, where you must pick 6 numbers out of 45. The number of possible combinations is equal to
_{45}C_{6}=**8,145,060**.- Its prime factorization is 2
^{2}× 3 × 5 × 7 × 11 × 41 × 43.

- Its prime factorization is 2
- In the Republic of Ireland, there is a 6/47 lottery, where you must pick 6 numbers out of 47. Therefore, the number of possible combinations is equal to
_{47}C_{6}=**10,737,573**.- Its prime factorization is 3 × 7 × 11 × 23 × 43 × 47.

- In some countries, such as Germany, there is a 6/49 lottery, where you must pick 6 numbers out of 49. The number of possible combinations is equal to
_{49}C_{6}=**13,983,816**.- Its prime factorization is 2
^{3}× 3 × 7^{2}× 11 × 23 × 47.

- Its prime factorization is 2
- In some countries, such as South Africa and Ukraine, there is a 6/52 lottery, where you must pick 6 numbers out of 52. Therefore, the number of possible combinations is equal to
_{52}C_{6}=**20,358,520**.- Its prime factorization is 2
^{3}× 5 × 7^{2}× 13 × 17 × 47.

- Its prime factorization is 2
- In Florida, there is a 6/53 lottery called
*Florida Lotto*, where you must pick 6 numbers out of 53. Therefore, the number of possible combinations is equal to_{53}C_{6}=**22,957,480**.- Its prime factorization is 2
^{3}× 5 × 7^{2}× 13 × 17 × 53.

- Its prime factorization is 2
- In Texas, there is a 6/54 lottery called
*Lotto Texas*, where you must pick 6 numbers out of 54. Therefore, the number of possible combinations is equal to_{54}C_{6}=**25,827,165**.- Its prime factorization is 3
^{2}× 5 × 7^{2}× 13 × 17 × 53.

- Its prime factorization is 3
- In the Philippines, there is a 6/55 lottery, where you must pick 6 numbers out of 55. Therefore, the number of possible combinations is equal to
_{55}C_{6}=**28,989,675**.- Its prime factorization is 3
^{2}× 5^{2}× 11 × 13 × 17 × 53.

- Its prime factorization is 3
- In Mexico, there is a 6/56 lottery, where you must pick 6 numbers out of 56. Therefore, the number of possible combinations is equal to
_{56}C_{6}=**32,468,436**.- Its prime factorization is 2
^{2}× 3^{2}× 7 × 11 × 13 × 17 × 53.

- Its prime factorization is 2
- In the Philippines, there is a 6/58 lottery, where you must pick 6 numbers out of 58. Therefore, the number of possible combinations is equal to
_{58}C_{6}=**40,475,358**.- Its prime factorization is 2 × 3
^{2}× 7 × 11 × 19 × 29 × 53.

- Its prime factorization is 2 × 3
- In the United Kingdom, there is a 6/59 lottery, where you must pick 6 numbers out of 59. The number of possible combinations is equal to
_{59}C_{6}=**45,057,474**.- Its prime factorization is 2 × 3
^{2}× 7 × 11 × 19 × 29 × 59.

- Its prime factorization is 2 × 3
- In Brazil, there is a 6/60 lottery called
*Mega-Sena*, where you must pick 6 numbers out of 60. Therefore, the number of possible combinations is equal to_{60}C_{6}=**50,063,860**.- Its prime factorization is 2
^{2}× 5 × 7 × 11 × 19 × 29 × 59.

- Its prime factorization is 2
- In Italy, there is a 6/90 lottery, where you must pick 6 numbers out of 90. The number of possible combinations is equal to
_{90}C_{6}=**622,614,630**.- Its prime factorization is 2 × 3 × 5 × 11 × 17 × 29 × 43 × 89.

## 7/n lotteries Edit

- In Norway, there is a 7/34 lottery, where you must pick 7 numbers out of 34. The number of possible combinations is equal to
_{34}C_{7}=**5,379,616**.- Its prime factorization is 2
^{5}× 11 × 17 × 29 × 31.

- Its prime factorization is 2
- In Sweden, there is a 7/35 lottery, where you must pick 7 numbers out of 35. The number of possible combinations is equal to
_{35}C_{7}=**6,724,520**.- Its prime factorization is 2
^{3}× 5 × 11 × 17 × 29 × 31.

- Its prime factorization is 2
- In Denmark, there is a 7/36 lottery, where you must pick 7 numbers out of 36. The number of possible combinations is equal to
_{36}C_{7}=**8,347,680**.- Its prime factorization is 2
^{5}× 3^{2}× 5 × 11 × 17 × 31.

- Its prime factorization is 2
- In some countries, such as Finland, Serbia and Slovenia, there is a 7/39 lottery, where you must pick 7 numbers out of 39. The number of possible combinations is equal to
_{39}C_{7}=**15,380,937**.- Its prime factorization is 3
^{2}× 11 × 13 × 17 × 19 × 37.

- Its prime factorization is 3
- In Australia, there is a 7/45 lottery called
*Oz Lotto*, where you must pick 7 numbers out of 45. Therefore, the number of possible combinations is equal to_{45}C_{7}=**45,379,620**.- Its prime factorization is 2
^{2}× 3^{2}× 5 × 11 × 13 × 41 × 43.

- Its prime factorization is 2
- In Canada, there is a 7/49 lottery called
*Lotto Max*, where you must pick 7 numbers out of 49. Therefore, the number of possible combinations is equal to_{49}C_{7}=**85,900,584**.- Its prime factorization is 2
^{3}× 3 × 7 × 11 × 23 × 43 × 47.

- Its prime factorization is 2

## Other single-drum lotteries Edit

- In the U.S. state of Washington, there is a 4/24 lottery called
*Match 4*, where you must pick 4 numbers out of 24. Therefore, the number of possible combinations is equal to_{24}C_{4}=**10,626**.- Its prime factorization is 2 × 3 × 7 × 11 × 23.

- In New Zealand, there is a 4/40 lottery called
*Lotto Strike*, where you must pick 4 numbers out of 40 in the correct order. Therefore, the number of possible combinations is equal to_{40}P_{4}=**2,193,360**.- Its prime factorization is 2
^{4}× 3 × 5 × 13 × 19 × 37.

- Its prime factorization is 2
- In parts of the United States, there is a 12/24 lottery called
*All or Nothing*, where you must pick 12 numbers out of 24. Therefore, the number of possible combinations is equal to_{24}C_{12}=**2,704,156**.- Its prime factorization is 2
^{2}× 7 × 13 × 17 × 19 × 23.

- Its prime factorization is 2
- In Venezuela, there is a 15/25 lottery, where you must pick 15 numbers out of 25. Therefore, the number of possible combinations is equal to
_{25}C_{15}=**3,268,760**.- Its prime factorization is 2
^{3}× 5 × 11 × 17 × 19 × 23.

- Its prime factorization is 2
- In the Czech republic, there is a lottery named Šťastných 10 (literally "Happy 10"), where you pick 1-10 numbers of 80. When it draws, 20 numbers of 80 numbers are drawn. The number of possible combination of the drawing is
_{80}C_{20}=**3,535,316,142,212,174,320**(3 and a half quintillion combinations in short scale, or 3 and a half trillion combinations in long scale).^{[1]}- The table of chances is given below: (The table is written in Czech Koruna, where 1£ ~ 28 Kč and 1$ ~ 22 Kč)

Number of judged combinations | ✖ | 10 | 9 | 8 | 7 | 6 | 5 | 4 | 3 | 2 | 1 |

10 | 200,000× | ||||||||||

9 | 10,000× | 50,000× | |||||||||

8 | 500× | 2,000× | 20,000× | ||||||||

7 | 20× | 200× | 400× | 4,000× | |||||||

6 | 10× | 20× | 40× | 100× | 600× | ||||||

5 | 3× | 3× | 4× | 10× | 20× | 200× | |||||

4 | Nothing | Nothing | 1× | 2× | 2× | 16× | 50× | ||||

3 | Nothing | Nothing | Nothing | Nothing | 1× | 2× | 8× | 16× | |||

2 | Nothing | Nothing | Nothing | Nothing | Nothing | Nothing | Nothing | 2× | 8× | ||

1 | Nothing | Nothing | Nothing | Nothing | Nothing | Nothing | Nothing | Nothing | Nothing | 2× | |

0 | Nothing | Nothing | Nothing | Nothing | Nothing | Nothing | Nothing | Nothing | Nothing | Nothing |

- Its prime factorization is 2
^{4}× 5 × 7 × 11 × 13 × 23 × 31 × 37 × 61 × 67 × 71 × 73 × 79.

- Its prime factorization is 2
- In parts of Australia, there is a 4/45 lottery called
*Lotto Strike*, where you must pick 4 numbers out of 45 in the correct order. Therefore, the number of possible combinations is equal to_{45}P_{4}=**3,575,880**.- Its prime factorization is 2
^{3}× 3^{3}× 5 × 7 × 11 × 43.

- Its prime factorization is 2
- In Australia, there is a 8/37 lottery called
*Set For Life*, where you must pick 8 numbers out of 37. Therefore, the number of possible combinations is equal to_{37}C_{8}=**38,608,020**.- Its prime factorization is 2
^{2}× 3^{2}× 5 × 11 × 17 × 31 × 37.

- Its prime factorization is 2
- In Chile, there is a 14/25 lottery, where you must pick 14 numbers out of 25. Therefore, the number of possible combinations is equal to
_{25}C_{14}=**4,457,400**.- Its prime factorization is 2
^{3}× 3 × 5^{2}× 17 × 19 × 23.

- Its prime factorization is 2

## Mega Ball lotteries Edit

- In Canada, there is a 5/49+1/7 lottery called
*Daily Grand*, where you must pick 5 numbers out of 49, and 1 number out of 7. Therefore, the number of possible combinations is equal to_{5}C_{49}× 7 =**13,348,188**.- Its prime factorization is 2
^{2}× 3^{2}× 7^{3}× 23 × 47.

- Its prime factorization is 2
- In Germany, there is a 6/49+1/10 lottery, where you must pick 6 numbers out of 49, and the final digit of the serial number is used for determining the top prize. Therefore, the number of possible combinations is
_{49}C_{6}× 10. In some other Western European countries, there is a 5/50+2/12 lottery called*EuroMillions*, where you must pick 5 numbers out of 50, and 2 numbers out of 12. Therefore, the number of possible combinations is_{50}C_{5}×_{12}C_{2}. Both_{49}C_{6}× 10 and_{50}C_{5}×_{12}C_{2}are equal to**139,838,160**.- Its prime factorization is 2
^{4}× 3 × 5 × 7^{2}× 11 × 23 × 47.

- Its prime factorization is 2
- In Colombia, there is a 5/43+1/16 lottery, where you must pick 5 numbers out of 43, and 1 number out of 16. Therefore, the number of possible combinations is equal to
_{43}C_{5}× 16 =**15,401,568**.- Its prime factorization is 2
^{5}× 3 × 7 × 13 × 41 × 43.

- Its prime factorization is 2
- In Israel, there is a 6/37 + 1/7 lottery, where you must pick 6 numbers out of 37, and 1 number out of 7. The number of possible combinations is equal to
_{37}C_{6}× 7 =**16,273,488**.- Its prime factorization is 2
^{4}× 3 × 7^{2}× 11 × 17 × 37.

- Its prime factorization is 2
- In France, there is a 5/49+1/10 lottery, where you must pick 5 numbers out of 49, and 1 number out of 10. Therefore, the number of possible combinations is equal to
_{5}C_{49}× 10 =**19,068,840**.- Its prime factorization is 2
^{3}× 3^{2}× 5 × 7^{2}× 23 × 47.

- Its prime factorization is 2
- In parts of the United States, there is a 5/60+1/4 lottery called
*Cash4Life*, where you must pick 5 numbers out of 60, and 1 number out of 4. Therefore, the number of possible combinations is equal to_{60}C_{5}× 4 =**21,846,048**.- Its prime factorization is 2
^{5}× 3 × 7 × 19 × 29 × 59.

- Its prime factorization is 2
- In Argentina, there is a 6/42+2/10 lottery, where you must pick 6 numbers out of 42, and 2 numbers out of 10. Therefore, the number of possible combinations is equal to
_{42}C_{6}×_{10}C_{2}=**236,060,370**.- Its prime factorization is 2 × 3
^{2}× 5 × 7 × 13 × 19 × 37 × 41.

- Its prime factorization is 2 × 3
- In South Africa, there is a 5/45 + 1/20 lottery, where you must pick 5 numbers out of 45, and 1 number out of 20. Therefore, the number of possible combinations is equal to
_{45}C_{5}× 20 =**24,435,180**.- Its prime factorization is 2
^{2}× 3^{2}× 5 × 7 × 11 × 41 × 43.

- Its prime factorization is 2
- In Portugal, there is a 5/49+1/13 lottery, where you must pick 5 numbers out of 49, and 1 number out of 13. Therefore, the number of possible combinations is equal to
_{5}C_{49}× 13 =**24,789,492**.- Its prime factorization is 2
^{2}× 3^{2}× 7^{2}× 13 × 23 × 47.

- Its prime factorization is 2
- In the United States, there is a 5/75+1/15 lottery called
*Mega Millions*, where you must pick 5 numbers out of 75, and 1 number out of 15. Therefore, the number of possible combinations is equal to_{75}C_{5}× 15 =**258,890,850**.- Its prime factorization is 2 × 3
^{3}× 5^{2}× 37 × 71 × 73.

- Its prime factorization is 2 × 3
- In parts of the United States, there is a 5/47+1/19 lottery called
*Hot Lotto*, where you must pick 5 numbers out of 47, and 1 number out of 19. Therefore, the number of possible combinations is equal to_{47}C_{5}× 19 =**29,144,841**.- Its prime factorization is 3 × 11 × 19 × 23 × 43 × 47.

- In the United States, there is a 5/69+1/26 lottery called
*Powerball*, where you must pick 5 numbers out of 69, and 1 number out of 26. Therefore, the number of possible combinations is equal to_{69}C_{5}× 26 =**292,201,338**.- Its prime factorization is 2 × 3 × 11 × 13
^{2}× 17 × 23 × 67.

- Its prime factorization is 2 × 3 × 11 × 13
- In Croatia, there is a 7/39 + 1/2 lottery, where you must pick 7 numbers out of 39, and 1 letter out of 2. The number of possible combinations is equal to
_{39}C_{7}× 2 =**30,761,874**.- Its prime factorization is 2 × 3
^{2}× 11 × 13 × 17 × 19 × 37.

- Its prime factorization is 2 × 3
- In parts of the United States, there is a 5/48+1/18 lottery called
*Lucky for Life*, where you must pick 5 numbers out of 48, and 1 number out of 18. Therefore, the number of possible combinations is equal to_{48}C_{5}× 18 =**30,821,472**.- Its prime factorization is 2
^{5}× 3^{4}× 11 × 23 × 47.

- Its prime factorization is 2
- In Switzerland, there is a 6/42 + 1/6 lottery, where you must pick 6 numbers out of 42, and 1 number out of 6. The number of possible combinations is equal to
_{42}C_{6}× 6 =**31,474,716**.- Its prime factorization is 2
^{2}× 3 × 7 × 13 × 19 × 37 × 41.

- Its prime factorization is 2
- In Spain, there is a 5/54+1/10 lottery called
*El Gordo de la Primitiva*, where you must pick 5 numbers out of 54, and 1 number out of 10. Therefore, the number of possible combinations is equal to_{54}C_{5}× 10 =**31,625,100**.- Its prime factorization is 2
^{2}× 3^{3}× 5^{2}× 13 × 17 × 53.

- Its prime factorization is 2
- In New Zealand, there is a 6/40+1/10 lottery called
*Powerball*, where you must pick 6 numbers out of 40, and 1 number out of 10. Therefore, the number of possible combinations is equal to_{40}C_{6}× 10 =**38,383,800**.- Its prime factorization is 2
^{3}× 3 × 5^{2}× 7 × 13 × 19 × 37.

- Its prime factorization is 2
- In California, there is a 5/47+1/27 lottery called
*SuperLotto Plus*, where you must pick 5 numbers out of 47, and 1 number out of 27. Therefore, the number of possible combinations is equal to_{47}C_{5}× 27 =**41,416,353**.- Its prime factorization is 3
^{4}× 11 × 23 × 43 × 47.

- Its prime factorization is 3
- In the Netherlands, there is a 6/45 + 1/6 lottery, where you must pick 6 numbers out of 45, and 1 color out of 6. The number of possible combinations is equal to
_{45}C_{6}× 6 =**48,870,360**.- Its prime factorization is 2
^{3}× 3^{2}× 5 × 7 × 11 × 41 × 43.

- Its prime factorization is 2
- In Chile, there is a 7/30+1/3 lottery, where you must pick 7 numbers out of 30, and 1 number out of 3. Therefore, the number of possible combinations is equal to
_{30}C_{7}× 3 =**6,107,400**.- Its prime factorization is 2
^{3}× 3^{4}× 5^{2}× 13 × 29.

- Its prime factorization is 2
- In Australia, there is a 6/40+1/20 lottery called
*Powerball*, where you must pick 6 numbers out of 40, and 1 number out of 20. Therefore, the number of possible combinations is equal to_{40}C_{6}× 20 =**76,767,600**.- Its prime factorization is 2
^{4}× 3 × 5^{2}× 7 × 13 × 19 × 37.

- Its prime factorization is 2
- In the United Kingdom, there is a 5/39+1/14 lottery called
*Thunderball*, where you must pick 5 numbers out of 39, and 1 number out of 14. Therefore, the number of possible combinations is equal to_{39}C_{14}× 10 =**8,060,598**.- Its prime factorization is 2 × 3
^{2}× 7^{2}× 13 × 19 × 37.

- Its prime factorization is 2 × 3
- In Germany and some other European countries, there is a 5/50+2/10 lottery called
*Eurojackpot*, where you must pick 5 numbers out of 50, and 2 numbers out of 10. Therefore, the number of possible combinations is equal to_{50}C_{5}×_{10}C_{2}=**95,344,200**.- Its prime factorization is 2
^{3}× 3^{2}× 5^{2}× 7^{2}× 23 × 47.

- Its prime factorization is 2
- In Northern Europe, there is a 6/48+1/8 lottery called
*Viking Lotto*, where you must pick 6 numbers out of 48, and 1 number out of 8. Therefore, the number of possible combinations is equal to_{48}C_{6}× 8 =**98,172,096**.- Its prime factorization is 2
^{6}× 3 × 11 × 23 × 43 × 47.

- Its prime factorization is 2

## Other multi-drum lotteries Edit

- In Slovenia, there is a (3/8)*3 lottery, where you must pick three fields with 3 numbers out of 8. Therefore, the number of possible combinations is equal to (
_{8}C_{3})^{3}=**175,616**.- Its prime factorization is 2
^{9}× 7^{3}.

- Its prime factorization is 2
- In Russia, there is a (4/20)*2 lottery, where you must pick two fields with 4 numbers out of 20. Therefore, the number of possible combinations is equal to (
_{20}C_{4})^{2}=**23,474,025**.- Its prime factorization is 3
^{2}× 5^{2}× 17^{2}× 19^{2}.

- Its prime factorization is 3

## Expressions in other bases Edit

- 8,060,598:
- In hexadecimal, 7A FEB6
- In binary, 111 1010 1111 1110 1011 0110

## Approximations Edit

Notation | Approximation |
---|---|

Scientific notation | \(8.0606*10^{6}\) |

Arrow notation | \(2,839↑ 2<n<2,840↑ 2\) |

Chained arrow notation | \(2,839→ 2<n<2,840→ 2\) |

BEAF | \(\{2839,2\}\) |

Hyperfactorial array notation | \(10!\) |

Fast-growing hierarchy | \(f_2(19)\) |

Hardy hierarchy | \(H_{\omega^2}(19)\) |

Slow-growing hierarchy | \(g_{\omega^2}(2,839)\) |

## Sources Edit

- ↑ Šťastných 10 – pravidla, šance na výhru (in Czech)