What is the 1996th prime number?
The 1996th prime number is 17359. The next prime is 17377 (a gap of 18) and the one before is 17351.
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 1996th one is 17359.
- 2
17359 is prime because no prime up to ā17359 ā 131.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1996th prime is close to 1996 Ć ln(1996) ā 15167, and here it is 17359.
- 4
17359 has no twin: neither 17357 nor 17361 is prime.
Primes around the 1996th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1993 | 17333 | 6 |
| 1994 | 17341 | 8 |
| 1995 | 17351 | 10 |
| 1996 | 17359 | 8 |
| 1997 | 17377 | 18 |
| 1998 | 17383 | 6 |
| 1999 | 17387 | 4 |
Questions
What is the 1996th prime number?
17359.
Which prime number is 17359?
17359 is the 1996th prime number.
What is the sum of the first 1996 primes?
16,205,091.