What is the 4622nd prime number?
The 4622nd prime number is 44483. The next prime is 44491 (a gap of 8) and the one before is 44453.
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 4622nd one is 44483.
- 2
44483 is prime because no prime up to ā44483 ā 210.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4622nd prime is close to 4622 Ć ln(4622) ā 39003, and here it is 44483.
- 4
44483 has no twin: neither 44481 nor 44485 is prime.
Primes around the 4622nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4619 | 44417 | 28 |
| 4620 | 44449 | 32 |
| 4621 | 44453 | 4 |
| 4622 | 44483 | 30 |
| 4623 | 44491 | 8 |
| 4624 | 44497 | 6 |
| 4625 | 44501 | 4 |
Questions
What is the 4622nd prime number?
44483.
Which prime number is 44483?
44483 is the 4622nd prime number.
What is the sum of the first 4622 primes?
96,862,567.