What is the 5074th prime number?
The 5074th prime number is 49391. The next prime is 49393 (a gap of 2) and the one before is 49369.
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 5074th one is 49391.
- 2
49391 is prime because no prime up to ā49391 ā 222.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5074th prime is close to 5074 Ć ln(5074) ā 43291, and here it is 49391.
- 4
49391 is a twin prime: 49391 and 49393 are both prime.
Primes around the 5074th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5071 | 49363 | 24 |
| 5072 | 49367 | 4 |
| 5073 | 49369 | 2 |
| 5074 | 49391 | 22 |
| 5075 | 49393 | 2 |
| 5076 | 49409 | 16 |
| 5077 | 49411 | 2 |
Questions
What is the 5074th prime number?
49391.
Which prime number is 49391?
49391 is the 5074th prime number.
What is the sum of the first 5074 primes?
118,081,407.