What is the 6001st prime number?
The 6001st prime number is 59369. The next prime is 59377 (a gap of 8) and the one before is 59359.
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 6001st one is 59369.
- 2
59369 is prime because no prime up to ā59369 ā 243.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6001st prime is close to 6001 Ć ln(6001) ā 52207, and here it is 59369.
- 4
59369 has no twin: neither 59367 nor 59371 is prime.
Primes around the 6001st
| Position | Prime | Gap from the previous |
|---|---|---|
| 5998 | 59351 | 10 |
| 5999 | 59357 | 6 |
| 6000 | 59359 | 2 |
| 6001 | 59369 | 10 |
| 6002 | 59377 | 8 |
| 6003 | 59387 | 10 |
| 6004 | 59393 | 6 |
Questions
What is the 6001st prime number?
59369.
Which prime number is 59369?
59369 is the 6001st prime number.
What is the sum of the first 6001 primes?
168,508,090.