What is the 623rd prime number?
The 623rd prime number is 4603. The next prime is 4621 (a gap of 18) and the one before is 4597.
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 623rd one is 4603.
- 2
4603 is prime because no prime up to ā4603 ā 67.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 623rd prime is close to 623 Ć ln(623) ā 4009, and here it is 4603.
- 4
4603 has no twin: neither 4601 nor 4605 is prime.
Primes around the 623rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 620 | 4583 | 16 |
| 621 | 4591 | 8 |
| 622 | 4597 | 6 |
| 623 | 4603 | 6 |
| 624 | 4621 | 18 |
| 625 | 4637 | 16 |
| 626 | 4639 | 2 |
Questions
What is the 623rd prime number?
4603.
Which prime number is 4603?
4603 is the 623rd prime number.
What is the sum of the first 623 primes?
1,326,832.