What is the 5075th prime number?
The 5075th prime number is 49393. The next prime is 49409 (a gap of 16) and the one before is 49391.
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 5075th one is 49393.
- 2
49393 is prime because no prime up to ā49393 ā 222.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5075th prime is close to 5075 Ć ln(5075) ā 43300, and here it is 49393.
- 4
49393 is a twin prime: 49391 and 49393 are both prime.
Primes around the 5075th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5072 | 49367 | 4 |
| 5073 | 49369 | 2 |
| 5074 | 49391 | 22 |
| 5075 | 49393 | 2 |
| 5076 | 49409 | 16 |
| 5077 | 49411 | 2 |
| 5078 | 49417 | 6 |
Questions
What is the 5075th prime number?
49393.
Which prime number is 49393?
49393 is the 5075th prime number.
What is the sum of the first 5075 primes?
118,130,800.