What is the 5091st prime number?
The 5091st prime number is 49547. The next prime is 49549 (a gap of 2) and the one before is 49537.
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 5091st one is 49547.
- 2
49547 is prime because no prime up to ā49547 ā 222.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5091st prime is close to 5091 Ć ln(5091) ā 43453, and here it is 49547.
- 4
49547 is a twin prime: 49547 and 49549 are both prime.
Primes around the 5091st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5088 | 49529 | 6 |
| 5089 | 49531 | 2 |
| 5090 | 49537 | 6 |
| 5091 | 49547 | 10 |
| 5092 | 49549 | 2 |
| 5093 | 49559 | 10 |
| 5094 | 49597 | 38 |
Questions
What is the 5091st prime number?
49547.
Which prime number is 49547?
49547 is the 5091st prime number.
What is the sum of the first 5091 primes?
118,922,396.