What is the 5039th prime number?
The 5039th prime number is 49031. The next prime is 49033 (a gap of 2) and the one before is 49019.
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 5039th one is 49031.
- 2
49031 is prime because no prime up to ā49031 ā 221.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5039th prime is close to 5039 Ć ln(5039) ā 42957, and here it is 49031.
- 4
49031 is a twin prime: 49031 and 49033 are both prime.
Primes around the 5039th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5036 | 49003 | 12 |
| 5037 | 49009 | 6 |
| 5038 | 49019 | 10 |
| 5039 | 49031 | 12 |
| 5040 | 49033 | 2 |
| 5041 | 49037 | 4 |
| 5042 | 49043 | 6 |
Questions
What is the 5039th prime number?
49031.
Which prime number is 49031?
49031 is the 5039th prime number.
What is the sum of the first 5039 primes?
116,359,300.