What is the 417th prime number?
The 417th prime number is 2879. The next prime is 2887 (a gap of 8) and the one before is 2861.
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 417th one is 2879.
- 2
2879 is prime because no prime up to ā2879 ā 53.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 417th prime is close to 417 Ć ln(417) ā 2516, and here it is 2879.
- 4
2879 has no twin: neither 2877 nor 2881 is prime.
Primes around the 417th
| Position | Prime | Gap from the previous |
|---|---|---|
| 414 | 2851 | 8 |
| 415 | 2857 | 6 |
| 416 | 2861 | 4 |
| 417 | 2879 | 18 |
| 418 | 2887 | 8 |
| 419 | 2897 | 10 |
| 420 | 2903 | 6 |
Questions
What is the 417th prime number?
2879.
Which prime number is 2879?
2879 is the 417th prime number.
What is the sum of the first 417 primes?
555,632.