What is the 2360th prime number?
The 2360th prime number is 20983. The next prime is 21001 (a gap of 18) and the one before is 20981.
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 2360th one is 20983.
- 2
20983 is prime because no prime up to ā20983 ā 144.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2360th prime is close to 2360 Ć ln(2360) ā 18329, and here it is 20983.
- 4
20983 is a twin prime: 20981 and 20983 are both prime.
Primes around the 2360th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2357 | 20959 | 12 |
| 2358 | 20963 | 4 |
| 2359 | 20981 | 18 |
| 2360 | 20983 | 2 |
| 2361 | 21001 | 18 |
| 2362 | 21011 | 10 |
| 2363 | 21013 | 2 |
Questions
What is the 2360th prime number?
20983.
Which prime number is 20983?
20983 is the 2360th prime number.
What is the sum of the first 2360 primes?
23,178,791.