What is the 5089th prime number?
The 5089th prime number is 49531. The next prime is 49537 (a gap of 6) and the one before is 49529.
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 5089th one is 49531.
- 2
49531 is prime because no prime up to ā49531 ā 222.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5089th prime is close to 5089 Ć ln(5089) ā 43434, and here it is 49531.
- 4
49531 is a twin prime: 49529 and 49531 are both prime.
Primes around the 5089th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5086 | 49499 | 18 |
| 5087 | 49523 | 24 |
| 5088 | 49529 | 6 |
| 5089 | 49531 | 2 |
| 5090 | 49537 | 6 |
| 5091 | 49547 | 10 |
| 5092 | 49549 | 2 |
Questions
What is the 5089th prime number?
49531.
Which prime number is 49531?
49531 is the 5089th prime number.
What is the sum of the first 5089 primes?
118,823,312.