What is the 6371st prime number?
The 6371st prime number is 63577. The next prime is 63587 (a gap of 10) and the one before is 63559.
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 6371st one is 63577.
- 2
63577 is prime because no prime up to ā63577 ā 252.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6371st prime is close to 6371 Ć ln(6371) ā 55807, and here it is 63577.
- 4
63577 has no twin: neither 63575 nor 63579 is prime.
Primes around the 6371st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6368 | 63533 | 6 |
| 6369 | 63541 | 8 |
| 6370 | 63559 | 18 |
| 6371 | 63577 | 18 |
| 6372 | 63587 | 10 |
| 6373 | 63589 | 2 |
| 6374 | 63599 | 10 |
Questions
What is the 6371st prime number?
63577.
Which prime number is 63577?
63577 is the 6371st prime number.
What is the sum of the first 6371 primes?
191,253,408.