What is the 2402nd prime number?
The 2402nd prime number is 21397. The next prime is 21401 (a gap of 4) and the one before is 21391.
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 2402nd one is 21397.
- 2
21397 is prime because no prime up to ā21397 ā 146.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2402nd prime is close to 2402 Ć ln(2402) ā 18697, and here it is 21397.
- 4
21397 has no twin: neither 21395 nor 21399 is prime.
Primes around the 2402nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2399 | 21379 | 2 |
| 2400 | 21383 | 4 |
| 2401 | 21391 | 8 |
| 2402 | 21397 | 6 |
| 2403 | 21401 | 4 |
| 2404 | 21407 | 6 |
| 2405 | 21419 | 12 |
Questions
What is the 2402nd prime number?
21397.
Which prime number is 21397?
21397 is the 2402nd prime number.
What is the sum of the first 2402 primes?
24,068,803.