What is the 4623rd prime number?
The 4623rd prime number is 44491. The next prime is 44497 (a gap of 6) and the one before is 44483.
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 4623rd one is 44491.
- 2
44491 is prime because no prime up to ā44491 ā 210.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4623rd prime is close to 4623 Ć ln(4623) ā 39013, and here it is 44491.
- 4
44491 has no twin: neither 44489 nor 44493 is prime.
Primes around the 4623rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 4620 | 44449 | 32 |
| 4621 | 44453 | 4 |
| 4622 | 44483 | 30 |
| 4623 | 44491 | 8 |
| 4624 | 44497 | 6 |
| 4625 | 44501 | 4 |
| 4626 | 44507 | 6 |
Questions
What is the 4623rd prime number?
44491.
Which prime number is 44491?
44491 is the 4623rd prime number.
What is the sum of the first 4623 primes?
96,907,058.