What is the 2002nd prime number?
The 2002nd prime number is 17401. The next prime is 17417 (a gap of 16) and the one before is 17393.
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 2002nd one is 17401.
- 2
17401 is prime because no prime up to ā17401 ā 131.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2002nd prime is close to 2002 Ć ln(2002) ā 15219, and here it is 17401.
- 4
17401 has no twin: neither 17399 nor 17403 is prime.
Primes around the 2002nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1999 | 17387 | 4 |
| 2000 | 17389 | 2 |
| 2001 | 17393 | 4 |
| 2002 | 17401 | 8 |
| 2003 | 17417 | 16 |
| 2004 | 17419 | 2 |
| 2005 | 17431 | 12 |
Questions
What is the 2002nd prime number?
17401.
Which prime number is 17401?
17401 is the 2002nd prime number.
What is the sum of the first 2002 primes?
16,309,421.