What is the 6372nd prime number?
The 6372nd prime number is 63587. The next prime is 63589 (a gap of 2) and the one before is 63577.
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 6372nd one is 63587.
- 2
63587 is prime because no prime up to ā63587 ā 252.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6372nd prime is close to 6372 Ć ln(6372) ā 55817, and here it is 63587.
- 4
63587 is a twin prime: 63587 and 63589 are both prime.
Primes around the 6372nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6369 | 63541 | 8 |
| 6370 | 63559 | 18 |
| 6371 | 63577 | 18 |
| 6372 | 63587 | 10 |
| 6373 | 63589 | 2 |
| 6374 | 63599 | 10 |
| 6375 | 63601 | 2 |
Questions
What is the 6372nd prime number?
63587.
Which prime number is 63587?
63587 is the 6372nd prime number.
What is the sum of the first 6372 primes?
191,316,995.