What is the 404th prime number?
The 404th prime number is 2777. The next prime is 2789 (a gap of 12) and the one before is 2767.
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 404th one is 2777.
- 2
2777 is prime because no prime up to ā2777 ā 52.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 404th prime is close to 404 Ć ln(404) ā 2425, and here it is 2777.
- 4
2777 has no twin: neither 2775 nor 2779 is prime.
Primes around the 404th
| Position | Prime | Gap from the previous |
|---|---|---|
| 401 | 2749 | 8 |
| 402 | 2753 | 4 |
| 403 | 2767 | 14 |
| 404 | 2777 | 10 |
| 405 | 2789 | 12 |
| 406 | 2791 | 2 |
| 407 | 2797 | 6 |
Questions
What is the 404th prime number?
2777.
Which prime number is 2777?
2777 is the 404th prime number.
What is the sum of the first 404 primes?
518,871.