## How many prime numbers?

Generate the first 45 numbers

Define a prime number:

A number with 2 factors: 1 and itself

2

0 + 2 = 2

3

2 + 3 = 5

5

5 + 5 = 10

7

10 + 7 = 17

11

17 + 11 = 28

13

28 + 13 = 41

17

41 + 17 = 58

19

58 + 19 = 77

23

77 + 23 = 100

29

100 + 29 = 129

31

129 + 31 = 160

37

160 + 37 = 197

41

197 + 41 = 238

43

238 + 43 = 281

47

281 + 47 = 328

53

328 + 53 = 381

59

381 + 59 = 440

61

440 + 61 = 501

67

501 + 67 = 568

71

568 + 71 = 639

73

639 + 73 = 712

79

712 + 79 = 791

83

791 + 83 = 874

89

874 + 89 = 963

97

963 + 97 = 1,060

##### Prime Number 26

101

1,060 + 101 = 1,161

##### Prime Number 27

103

1,161 + 103 = 1,264

##### Prime Number 28

107

1,264 + 107 = 1,371

##### Prime Number 29

109

1,371 + 109 = 1,480

##### Prime Number 30

113

1,480 + 113 = 1,593

##### Prime Number 31

127

1,593 + 127 = 1,720

##### Prime Number 32

131

1,720 + 131 = 1,851

##### Prime Number 33

137

1,851 + 137 = 1,988

##### Prime Number 34

139

1,988 + 139 = 2,127

##### Prime Number 35

149

2,127 + 149 = 2,276

##### Prime Number 36

151

2,276 + 151 = 2,427

##### Prime Number 37

157

2,427 + 157 = 2,584

##### Prime Number 38

163

2,584 + 163 = 2,747

##### Prime Number 39

167

2,747 + 167 = 2,914

##### Prime Number 40

173

2,914 + 173 = 3,087

##### Prime Number 41

179

3,087 + 179 = 3,266

##### Prime Number 42

181

3,266 + 181 = 3,447

##### Prime Number 43

191

3,447 + 191 = 3,638

##### Prime Number 44

193

3,638 + 193 = 3,831

##### Prime Number 45

197

3,831 + 197 = 4,028

197

197
##### How does the Prime Numbers Calculator work?
Free Prime Numbers Calculator - Shows up to 3000 prime numbers and a cumulative sum
This calculator has 1 input.

### What 1 formula is used for the Prime Numbers Calculator?

Prime Numbers are number which have no divisors other than 1 and itself

For more math formulas, check out our Formula Dossier

### What 6 concepts are covered in the Prime Numbers Calculator?

divisibility
Determine factors (whole numbers) for a given number
factor
a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.
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.
prime number
a natural number greater than 1 that is not a product of two smaller natural numbers.
prime numbers
Positive numbers with no other factors but 1 and the number itself
sum
the total amount resulting from the addition of two or more numbers, amounts, or items