What is the 2362nd prime number?
The 2362nd prime number is 21011. The next prime is 21013 (a gap of 2) and the one before is 21001.
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 2362nd one is 21011.
- 2
21011 is prime because no prime up to ā21011 ā 144.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2362nd prime is close to 2362 Ć ln(2362) ā 18346, and here it is 21011.
- 4
21011 is a twin prime: 21011 and 21013 are both prime.
Primes around the 2362nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2359 | 20981 | 18 |
| 2360 | 20983 | 2 |
| 2361 | 21001 | 18 |
| 2362 | 21011 | 10 |
| 2363 | 21013 | 2 |
| 2364 | 21017 | 4 |
| 2365 | 21019 | 2 |
Questions
What is the 2362nd prime number?
21011.
Which prime number is 21011?
21011 is the 2362nd prime number.
What is the sum of the first 2362 primes?
23,220,803.