What is the 2359th prime number?
The 2359th prime number is 20981. The next prime is 20983 (a gap of 2) and the one before is 20963.
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 2359th one is 20981.
- 2
20981 is prime because no prime up to ā20981 ā 144.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2359th prime is close to 2359 Ć ln(2359) ā 18320, and here it is 20981.
- 4
20981 is a twin prime: 20981 and 20983 are both prime.
Primes around the 2359th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2356 | 20947 | 8 |
| 2357 | 20959 | 12 |
| 2358 | 20963 | 4 |
| 2359 | 20981 | 18 |
| 2360 | 20983 | 2 |
| 2361 | 21001 | 18 |
| 2362 | 21011 | 10 |
Questions
What is the 2359th prime number?
20981.
Which prime number is 20981?
20981 is the 2359th prime number.
What is the sum of the first 2359 primes?
23,157,808.