What is the 5084th prime number?
The 5084th prime number is 49477. The next prime is 49481 (a gap of 4) and the one before is 49463.
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 5084th one is 49477.
- 2
49477 is prime because no prime up to ā49477 ā 222.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5084th prime is close to 5084 Ć ln(5084) ā 43386, and here it is 49477.
- 4
49477 has no twin: neither 49475 nor 49479 is prime.
Primes around the 5084th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5081 | 49451 | 18 |
| 5082 | 49459 | 8 |
| 5083 | 49463 | 4 |
| 5084 | 49477 | 14 |
| 5085 | 49481 | 4 |
| 5086 | 49499 | 18 |
| 5087 | 49523 | 24 |
Questions
What is the 5084th prime number?
49477.
Which prime number is 49477?
49477 is the 5084th prime number.
What is the sum of the first 5084 primes?
118,575,749.