What is the 4464th prime number?
The 4464th prime number is 42701. The next prime is 42703 (a gap of 2) and the one before is 42697.
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 4464th one is 42701.
- 2
42701 is prime because no prime up to ā42701 ā 206.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4464th prime is close to 4464 Ć ln(4464) ā 37515, and here it is 42701.
- 4
42701 is a twin prime: 42701 and 42703 are both prime.
Primes around the 4464th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4461 | 42683 | 6 |
| 4462 | 42689 | 6 |
| 4463 | 42697 | 8 |
| 4464 | 42701 | 4 |
| 4465 | 42703 | 2 |
| 4466 | 42709 | 6 |
| 4467 | 42719 | 10 |
Questions
What is the 4464th prime number?
42701.
Which prime number is 42701?
42701 is the 4464th prime number.
What is the sum of the first 4464 primes?
89,976,965.