What is the 6000th prime number?
The 6000th prime number is 59359. The next prime is 59369 (a gap of 10) and the one before is 59357.
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 6000th one is 59359.
- 2
59359 is prime because no prime up to ā59359 ā 243.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6000th prime is close to 6000 Ć ln(6000) ā 52197, and here it is 59359.
- 4
59359 is a twin prime: 59357 and 59359 are both prime.
Primes around the 6000th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5997 | 59341 | 8 |
| 5998 | 59351 | 10 |
| 5999 | 59357 | 6 |
| 6000 | 59359 | 2 |
| 6001 | 59369 | 10 |
| 6002 | 59377 | 8 |
| 6003 | 59387 | 10 |
Questions
What is the 6000th prime number?
59359.
Which prime number is 59359?
59359 is the 6000th prime number.
What is the sum of the first 6000 primes?
168,448,721.