What is the 2401st prime number?
The 2401st prime number is 21391. The next prime is 21397 (a gap of 6) and the one before is 21383.
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 2401st one is 21391.
- 2
21391 is prime because no prime up to ā21391 ā 146.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2401st prime is close to 2401 Ć ln(2401) ā 18689, and here it is 21391.
- 4
21391 has no twin: neither 21389 nor 21393 is prime.
Primes around the 2401st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2398 | 21377 | 30 |
| 2399 | 21379 | 2 |
| 2400 | 21383 | 4 |
| 2401 | 21391 | 8 |
| 2402 | 21397 | 6 |
| 2403 | 21401 | 4 |
| 2404 | 21407 | 6 |
Questions
What is the 2401st prime number?
21391.
Which prime number is 21391?
21391 is the 2401st prime number.
What is the sum of the first 2401 primes?
24,047,406.