What is the 418th prime number?
The 418th prime number is 2887. The next prime is 2897 (a gap of 10) and the one before is 2879.
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 418th one is 2887.
- 2
2887 is prime because no prime up to ā2887 ā 53.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 418th prime is close to 418 Ć ln(418) ā 2523, and here it is 2887.
- 4
2887 has no twin: neither 2885 nor 2889 is prime.
Primes around the 418th
| Position | Prime | Gap from the previous |
|---|---|---|
| 415 | 2857 | 6 |
| 416 | 2861 | 4 |
| 417 | 2879 | 18 |
| 418 | 2887 | 8 |
| 419 | 2897 | 10 |
| 420 | 2903 | 6 |
| 421 | 2909 | 6 |
Questions
What is the 418th prime number?
2887.
Which prime number is 2887?
2887 is the 418th prime number.
What is the sum of the first 418 primes?
558,519.