What is the 5085th prime number?
The 5085th prime number is 49481. The next prime is 49499 (a gap of 18) and the one before is 49477.
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 5085th one is 49481.
- 2
49481 is prime because no prime up to ā49481 ā 222.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5085th prime is close to 5085 Ć ln(5085) ā 43396, and here it is 49481.
- 4
49481 has no twin: neither 49479 nor 49483 is prime.
Primes around the 5085th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5082 | 49459 | 8 |
| 5083 | 49463 | 4 |
| 5084 | 49477 | 14 |
| 5085 | 49481 | 4 |
| 5086 | 49499 | 18 |
| 5087 | 49523 | 24 |
| 5088 | 49529 | 6 |
Questions
What is the 5085th prime number?
49481.
Which prime number is 49481?
49481 is the 5085th prime number.
What is the sum of the first 5085 primes?
118,625,230.