What is the 2406th prime number?
The 2406th prime number is 21433. The next prime is 21467 (a gap of 34) and the one before is 21419.
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 2406th one is 21433.
- 2
21433 is prime because no prime up to ā21433 ā 146.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2406th prime is close to 2406 Ć ln(2406) ā 18732, and here it is 21433.
- 4
21433 has no twin: neither 21431 nor 21435 is prime.
Primes around the 2406th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2403 | 21401 | 4 |
| 2404 | 21407 | 6 |
| 2405 | 21419 | 12 |
| 2406 | 21433 | 14 |
| 2407 | 21467 | 34 |
| 2408 | 21481 | 14 |
| 2409 | 21487 | 6 |
Questions
What is the 2406th prime number?
21433.
Which prime number is 21433?
21433 is the 2406th prime number.
What is the sum of the first 2406 primes?
24,154,463.