What is the 6373rd prime number?
The 6373rd prime number is 63589. The next prime is 63599 (a gap of 10) and the one before is 63587.
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 6373rd one is 63589.
- 2
63589 is prime because no prime up to ā63589 ā 252.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6373rd prime is close to 6373 Ć ln(6373) ā 55826, and here it is 63589.
- 4
63589 is a twin prime: 63587 and 63589 are both prime.
Primes around the 6373rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6370 | 63559 | 18 |
| 6371 | 63577 | 18 |
| 6372 | 63587 | 10 |
| 6373 | 63589 | 2 |
| 6374 | 63599 | 10 |
| 6375 | 63601 | 2 |
| 6376 | 63607 | 6 |
Questions
What is the 6373rd prime number?
63589.
Which prime number is 63589?
63589 is the 6373rd prime number.
What is the sum of the first 6373 primes?
191,380,584.