What is the 6374th prime number?
The 6374th prime number is 63599. The next prime is 63601 (a gap of 2) and the one before is 63589.
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 6374th one is 63599.
- 2
63599 is prime because no prime up to ā63599 ā 252.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6374th prime is close to 6374 Ć ln(6374) ā 55836, and here it is 63599.
- 4
63599 is a twin prime: 63599 and 63601 are both prime.
Primes around the 6374th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6371 | 63577 | 18 |
| 6372 | 63587 | 10 |
| 6373 | 63589 | 2 |
| 6374 | 63599 | 10 |
| 6375 | 63601 | 2 |
| 6376 | 63607 | 6 |
| 6377 | 63611 | 4 |
Questions
What is the 6374th prime number?
63599.
Which prime number is 63599?
63599 is the 6374th prime number.
What is the sum of the first 6374 primes?
191,444,183.