What is the 5999th prime number?
The 5999th prime number is 59357. The next prime is 59359 (a gap of 2) and the one before is 59351.
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, ⦠The 5999th one is 59357.
- 2
59357 is prime because no prime up to ā59357 ā 243.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5999th prime is close to 5999 Ć ln(5999) ā 52187, and here it is 59357.
- 4
59357 is a twin prime: 59357 and 59359 are both prime.
Primes around the 5999th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5996 | 59333 | 52 |
| 5997 | 59341 | 8 |
| 5998 | 59351 | 10 |
| 5999 | 59357 | 6 |
| 6000 | 59359 | 2 |
| 6001 | 59369 | 10 |
| 6002 | 59377 | 8 |
Questions
What is the 5999th prime number?
59357.
Which prime number is 59357?
59357 is the 5999th prime number.
What is the sum of the first 5999 primes?
168,389,362.