What is the 5092nd prime number?
The 5092nd prime number is 49549. The next prime is 49559 (a gap of 10) and the one before is 49547.
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 5092nd one is 49549.
- 2
49549 is prime because no prime up to ā49549 ā 222.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5092nd prime is close to 5092 Ć ln(5092) ā 43462, and here it is 49549.
- 4
49549 is a twin prime: 49547 and 49549 are both prime.
Primes around the 5092nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5089 | 49531 | 2 |
| 5090 | 49537 | 6 |
| 5091 | 49547 | 10 |
| 5092 | 49549 | 2 |
| 5093 | 49559 | 10 |
| 5094 | 49597 | 38 |
| 5095 | 49603 | 6 |
Questions
What is the 5092nd prime number?
49549.
Which prime number is 49549?
49549 is the 5092nd prime number.
What is the sum of the first 5092 primes?
118,971,945.