What is the 4460th prime number?
The 4460th prime number is 42677. The next prime is 42683 (a gap of 6) and the one before is 42667.
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 4460th one is 42677.
- 2
42677 is prime because no prime up to ā42677 ā 206.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4460th prime is close to 4460 Ć ln(4460) ā 37477, and here it is 42677.
- 4
42677 has no twin: neither 42675 nor 42679 is prime.
Primes around the 4460th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4457 | 42643 | 2 |
| 4458 | 42649 | 6 |
| 4459 | 42667 | 18 |
| 4460 | 42677 | 10 |
| 4461 | 42683 | 6 |
| 4462 | 42689 | 6 |
| 4463 | 42697 | 8 |
Questions
What is the 4460th prime number?
42677.
Which prime number is 42677?
42677 is the 4460th prime number.
What is the sum of the first 4460 primes?
89,806,195.