What is the 2001st prime number?
The 2001st prime number is 17393. The next prime is 17401 (a gap of 8) and the one before is 17389.
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 2001st one is 17393.
- 2
17393 is prime because no prime up to ā17393 ā 131.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2001st prime is close to 2001 Ć ln(2001) ā 15210, and here it is 17393.
- 4
17393 has no twin: neither 17391 nor 17395 is prime.
Primes around the 2001st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1998 | 17383 | 6 |
| 1999 | 17387 | 4 |
| 2000 | 17389 | 2 |
| 2001 | 17393 | 4 |
| 2002 | 17401 | 8 |
| 2003 | 17417 | 16 |
| 2004 | 17419 | 2 |
Questions
What is the 2001st prime number?
17393.
Which prime number is 17393?
17393 is the 2001st prime number.
What is the sum of the first 2001 primes?
16,292,020.