What is the 1997th prime number?
The 1997th prime number is 17377. The next prime is 17383 (a gap of 6) and the one before is 17359.
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 1997th one is 17377.
- 2
17377 is prime because no prime up to ā17377 ā 131.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1997th prime is close to 1997 Ć ln(1997) ā 15176, and here it is 17377.
- 4
17377 has no twin: neither 17375 nor 17379 is prime.
Primes around the 1997th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1994 | 17341 | 8 |
| 1995 | 17351 | 10 |
| 1996 | 17359 | 8 |
| 1997 | 17377 | 18 |
| 1998 | 17383 | 6 |
| 1999 | 17387 | 4 |
| 2000 | 17389 | 2 |
Questions
What is the 1997th prime number?
17377.
Which prime number is 17377?
17377 is the 1997th prime number.
What is the sum of the first 1997 primes?
16,222,468.