What is the 140th prime number?
The 140th prime number is 809. The next prime is 811 (a gap of 2) and the one before is 797.
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 140th one is 809.
- 2
809 is prime because no prime up to ā809 ā 28.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 140th prime is close to 140 Ć ln(140) ā 692, and here it is 809.
- 4
809 is a twin prime: 809 and 811 are both prime.
Primes around the 140th
| Position | Prime | Gap from the previous |
|---|---|---|
| 137 | 773 | 4 |
| 138 | 787 | 14 |
| 139 | 797 | 10 |
| 140 | 809 | 12 |
| 141 | 811 | 2 |
| 142 | 821 | 10 |
| 143 | 823 | 2 |
Questions
What is the 140th prime number?
809.
Which prime number is 809?
809 is the 140th prime number.
What is the sum of the first 140 primes?
50,887.