What is the 5090th prime number?
The 5090th prime number is 49537. The next prime is 49547 (a gap of 10) and the one before is 49531.
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 5090th one is 49537.
- 2
49537 is prime because no prime up to ā49537 ā 222.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5090th prime is close to 5090 Ć ln(5090) ā 43443, and here it is 49537.
- 4
49537 has no twin: neither 49535 nor 49539 is prime.
Primes around the 5090th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5087 | 49523 | 24 |
| 5088 | 49529 | 6 |
| 5089 | 49531 | 2 |
| 5090 | 49537 | 6 |
| 5091 | 49547 | 10 |
| 5092 | 49549 | 2 |
| 5093 | 49559 | 10 |
Questions
What is the 5090th prime number?
49537.
Which prime number is 49537?
49537 is the 5090th prime number.
What is the sum of the first 5090 primes?
118,872,849.