What is the 7189th prime number?
The 7189th prime number is 72689. The next prime is 72701 (a gap of 12) and the one before is 72679.
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 7189th one is 72689.
- 2
72689 is prime because no prime up to ā72689 ā 269.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7189th prime is close to 7189 Ć ln(7189) ā 63841, and here it is 72689.
- 4
72689 has no twin: neither 72687 nor 72691 is prime.
Primes around the 7189th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7186 | 72671 | 10 |
| 7187 | 72673 | 2 |
| 7188 | 72679 | 6 |
| 7189 | 72689 | 10 |
| 7190 | 72701 | 12 |
| 7191 | 72707 | 6 |
| 7192 | 72719 | 12 |
Questions
What is the 7189th prime number?
72689.
Which prime number is 72689?
72689 is the 7189th prime number.
What is the sum of the first 7189 primes?
247,006,960.