What is the 1995th prime number?
The 1995th prime number is 17351. The next prime is 17359 (a gap of 8) and the one before is 17341.
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 1995th one is 17351.
- 2
17351 is prime because no prime up to ā17351 ā 131.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1995th prime is close to 1995 Ć ln(1995) ā 15159, and here it is 17351.
- 4
17351 has no twin: neither 17349 nor 17353 is prime.
Primes around the 1995th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1992 | 17327 | 6 |
| 1993 | 17333 | 6 |
| 1994 | 17341 | 8 |
| 1995 | 17351 | 10 |
| 1996 | 17359 | 8 |
| 1997 | 17377 | 18 |
| 1998 | 17383 | 6 |
Questions
What is the 1995th prime number?
17351.
Which prime number is 17351?
17351 is the 1995th prime number.
What is the sum of the first 1995 primes?
16,187,732.