What is the 4624th prime number?
The 4624th prime number is 44497. The next prime is 44501 (a gap of 4) and the one before is 44491.
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 4624th one is 44497.
- 2
44497 is prime because no prime up to ā44497 ā 210.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4624th prime is close to 4624 Ć ln(4624) ā 39022, and here it is 44497.
- 4
44497 has no twin: neither 44495 nor 44499 is prime.
Primes around the 4624th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4621 | 44453 | 4 |
| 4622 | 44483 | 30 |
| 4623 | 44491 | 8 |
| 4624 | 44497 | 6 |
| 4625 | 44501 | 4 |
| 4626 | 44507 | 6 |
| 4627 | 44519 | 12 |
Questions
What is the 4624th prime number?
44497.
Which prime number is 44497?
44497 is the 4624th prime number.
What is the sum of the first 4624 primes?
96,951,555.