What is the 440th prime number?
The 440th prime number is 3079. The next prime is 3083 (a gap of 4) and the one before is 3067.
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 440th one is 3079.
- 2
3079 is prime because no prime up to ā3079 ā 55.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 440th prime is close to 440 Ć ln(440) ā 2678, and here it is 3079.
- 4
3079 has no twin: neither 3077 nor 3081 is prime.
Primes around the 440th
| Position | Prime | Gap from the previous |
|---|---|---|
| 437 | 3049 | 8 |
| 438 | 3061 | 12 |
| 439 | 3067 | 6 |
| 440 | 3079 | 12 |
| 441 | 3083 | 4 |
| 442 | 3089 | 6 |
| 443 | 3109 | 20 |
Questions
What is the 440th prime number?
3079.
Which prime number is 3079?
3079 is the 440th prime number.
What is the sum of the first 440 primes?
624,211.