What is the 6375th prime number?
The 6375th prime number is 63601. The next prime is 63607 (a gap of 6) and the one before is 63599.
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 6375th one is 63601.
- 2
63601 is prime because no prime up to ā63601 ā 252.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6375th prime is close to 6375 Ć ln(6375) ā 55846, and here it is 63601.
- 4
63601 is a twin prime: 63599 and 63601 are both prime.
Primes around the 6375th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6372 | 63587 | 10 |
| 6373 | 63589 | 2 |
| 6374 | 63599 | 10 |
| 6375 | 63601 | 2 |
| 6376 | 63607 | 6 |
| 6377 | 63611 | 4 |
| 6378 | 63617 | 6 |
Questions
What is the 6375th prime number?
63601.
Which prime number is 63601?
63601 is the 6375th prime number.
What is the sum of the first 6375 primes?
191,507,784.