What is the 2407th prime number?
The 2407th prime number is 21467. The next prime is 21481 (a gap of 14) and the one before is 21433.
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 2407th one is 21467.
- 2
21467 is prime because no prime up to ā21467 ā 146.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2407th prime is close to 2407 Ć ln(2407) ā 18741, and here it is 21467.
- 4
21467 has no twin: neither 21465 nor 21469 is prime.
Primes around the 2407th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2404 | 21407 | 6 |
| 2405 | 21419 | 12 |
| 2406 | 21433 | 14 |
| 2407 | 21467 | 34 |
| 2408 | 21481 | 14 |
| 2409 | 21487 | 6 |
| 2410 | 21491 | 4 |
Questions
What is the 2407th prime number?
21467.
Which prime number is 21467?
21467 is the 2407th prime number.
What is the sum of the first 2407 primes?
24,175,930.