What is the 2357th prime number?
The 2357th prime number is 20959. The next prime is 20963 (a gap of 4) and the one before is 20947.
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 2357th one is 20959.
- 2
20959 is prime because no prime up to ā20959 ā 144.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2357th prime is close to 2357 Ć ln(2357) ā 18302, and here it is 20959.
- 4
20959 has no twin: neither 20957 nor 20961 is prime.
Primes around the 2357th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2354 | 20929 | 8 |
| 2355 | 20939 | 10 |
| 2356 | 20947 | 8 |
| 2357 | 20959 | 12 |
| 2358 | 20963 | 4 |
| 2359 | 20981 | 18 |
| 2360 | 20983 | 2 |
Questions
What is the 2357th prime number?
20959.
Which prime number is 20959?
20959 is the 2357th prime number.
What is the sum of the first 2357 primes?
23,115,864.