What is the 6005th prime number?
The 6005th prime number is 59399. The next prime is 59407 (a gap of 8) and the one before is 59393.
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 6005th one is 59399.
- 2
59399 is prime because no prime up to ā59399 ā 243.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6005th prime is close to 6005 Ć ln(6005) ā 52246, and here it is 59399.
- 4
59399 has no twin: neither 59397 nor 59401 is prime.
Primes around the 6005th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6002 | 59377 | 8 |
| 6003 | 59387 | 10 |
| 6004 | 59393 | 6 |
| 6005 | 59399 | 6 |
| 6006 | 59407 | 8 |
| 6007 | 59417 | 10 |
| 6008 | 59419 | 2 |
Questions
What is the 6005th prime number?
59399.
Which prime number is 59399?
59399 is the 6005th prime number.
What is the sum of the first 6005 primes?
168,745,646.