What is the 5059th prime number?
The 5059th prime number is 49207. The next prime is 49211 (a gap of 4) and the one before is 49201.
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 5059th one is 49207.
- 2
49207 is prime because no prime up to ā49207 ā 221.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5059th prime is close to 5059 Ć ln(5059) ā 43148, and here it is 49207.
- 4
49207 has no twin: neither 49205 nor 49209 is prime.
Primes around the 5059th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5056 | 49193 | 16 |
| 5057 | 49199 | 6 |
| 5058 | 49201 | 2 |
| 5059 | 49207 | 6 |
| 5060 | 49211 | 4 |
| 5061 | 49223 | 12 |
| 5062 | 49253 | 30 |
Questions
What is the 5059th prime number?
49207.
Which prime number is 49207?
49207 is the 5059th prime number.
What is the sum of the first 5059 primes?
117,341,806.