What is the 2358th prime number?
The 2358th prime number is 20963. The next prime is 20981 (a gap of 18) and the one before is 20959.
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 2358th one is 20963.
- 2
20963 is prime because no prime up to ā20963 ā 144.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2358th prime is close to 2358 Ć ln(2358) ā 18311, and here it is 20963.
- 4
20963 has no twin: neither 20961 nor 20965 is prime.
Primes around the 2358th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2355 | 20939 | 10 |
| 2356 | 20947 | 8 |
| 2357 | 20959 | 12 |
| 2358 | 20963 | 4 |
| 2359 | 20981 | 18 |
| 2360 | 20983 | 2 |
| 2361 | 21001 | 18 |
Questions
What is the 2358th prime number?
20963.
Which prime number is 20963?
20963 is the 2358th prime number.
What is the sum of the first 2358 primes?
23,136,827.