What is the 5082nd prime number?
The 5082nd prime number is 49459. The next prime is 49463 (a gap of 4) and the one before is 49451.
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 5082nd one is 49459.
- 2
49459 is prime because no prime up to ā49459 ā 222.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5082nd prime is close to 5082 Ć ln(5082) ā 43367, and here it is 49459.
- 4
49459 has no twin: neither 49457 nor 49461 is prime.
Primes around the 5082nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 5079 | 49429 | 12 |
| 5080 | 49433 | 4 |
| 5081 | 49451 | 18 |
| 5082 | 49459 | 8 |
| 5083 | 49463 | 4 |
| 5084 | 49477 | 14 |
| 5085 | 49481 | 4 |
Questions
What is the 5082nd prime number?
49459.
Which prime number is 49459?
49459 is the 5082nd prime number.
What is the sum of the first 5082 primes?
118,476,809.