What is the 2361st prime number?
The 2361st prime number is 21001. The next prime is 21011 (a gap of 10) and the one before is 20983.
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 2361st one is 21001.
- 2
21001 is prime because no prime up to ā21001 ā 144.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2361st prime is close to 2361 Ć ln(2361) ā 18338, and here it is 21001.
- 4
21001 has no twin: neither 20999 nor 21003 is prime.
Primes around the 2361st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2358 | 20963 | 4 |
| 2359 | 20981 | 18 |
| 2360 | 20983 | 2 |
| 2361 | 21001 | 18 |
| 2362 | 21011 | 10 |
| 2363 | 21013 | 2 |
| 2364 | 21017 | 4 |
Questions
What is the 2361st prime number?
21001.
Which prime number is 21001?
21001 is the 2361st prime number.
What is the sum of the first 2361 primes?
23,199,792.