What is the 6004th prime number?
The 6004th prime number is 59393. The next prime is 59399 (a gap of 6) and the one before is 59387.
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 6004th one is 59393.
- 2
59393 is prime because no prime up to ā59393 ā 243.71 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6004th prime is close to 6004 Ć ln(6004) ā 52236, and here it is 59393.
- 4
59393 has no twin: neither 59391 nor 59395 is prime.
Primes around the 6004th
| Position | Prime | Gap from the previous |
|---|---|---|
| 6001 | 59369 | 10 |
| 6002 | 59377 | 8 |
| 6003 | 59387 | 10 |
| 6004 | 59393 | 6 |
| 6005 | 59399 | 6 |
| 6006 | 59407 | 8 |
| 6007 | 59417 | 10 |
Questions
What is the 6004th prime number?
59393.
Which prime number is 59393?
59393 is the 6004th prime number.
What is the sum of the first 6004 primes?
168,686,247.