What is the 28th prime number?
The 28th prime number is 107. The next prime is 109 (a gap of 2) and the one before is 103.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 28th one is 107.
- 2
107 is prime because no prime up to ā107 ā 10.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 28th prime is close to 28 Ć ln(28) ā 93, and here it is 107.
- 4
107 is a twin prime: 107 and 109 are both prime.
Primes around the 28th
| Position | Prime | Gap from the previous |
|---|---|---|
| 25 | 97 | 8 |
| 26 | 101 | 4 |
| 27 | 103 | 2 |
| 28 | 107 | 4 |
| 29 | 109 | 2 |
| 30 | 113 | 4 |
| 31 | 127 | 14 |
Questions
What is the 28th prime number?
107.
Which prime number is 107?
107 is the 28th prime number.
What is the sum of the first 28 primes?
1,371.