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How many prime numbers are there?

less than googol

more than googol, but less the Graham's number

145443097811127

infinitely

The prime number is a natural number that can be divided, without a remainder, only by itself and by 1. For example, 5 can be divided only by 5 and by 1. There are infinitely many primes, as demonstrated by Euclid around 300 BC. The picture above shows the Ulam spiral, which is a graphical depiction of the set of prime numbers.

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0%

0%

90%

10

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0%

15%

84%

13

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5%

83%

18

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6%

6%

2%

82%

80

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4%

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23

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81%

499

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11%

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81%

27

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5%

79%

5425

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8%

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6%

76%

47

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3%

10%

10%

75%

28

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13%

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13%

73%

15

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2%

13%

11%

70%

134

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16%

5%

11%

66%

18

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5%

15%

11%

65%

138

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12%

14%

11%

60%

104

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0%

33%

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58%

12

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0%

18%

18%

54%

11

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