What is the 4465th prime number?
The 4465th prime number is 42703. The next prime is 42709 (a gap of 6) and the one before is 42701.
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 4465th one is 42703.
- 2
42703 is prime because no prime up to ā42703 ā 206.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4465th prime is close to 4465 Ć ln(4465) ā 37524, and here it is 42703.
- 4
42703 is a twin prime: 42701 and 42703 are both prime.
Primes around the 4465th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4462 | 42689 | 6 |
| 4463 | 42697 | 8 |
| 4464 | 42701 | 4 |
| 4465 | 42703 | 2 |
| 4466 | 42709 | 6 |
| 4467 | 42719 | 10 |
| 4468 | 42727 | 8 |
Questions
What is the 4465th prime number?
42703.
Which prime number is 42703?
42703 is the 4465th prime number.
What is the sum of the first 4465 primes?
90,019,668.