What is the 6023rd prime number?
The 6023rd prime number is 59581. The next prime is 59611 (a gap of 30) and the one before is 59567.
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 6023rd one is 59581.
- 2
59581 is prime because no prime up to ā59581 ā 244.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6023rd prime is close to 6023 Ć ln(6023) ā 52420, and here it is 59581.
- 4
59581 has no twin: neither 59579 nor 59583 is prime.
Primes around the 6023rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 6020 | 59557 | 18 |
| 6021 | 59561 | 4 |
| 6022 | 59567 | 6 |
| 6023 | 59581 | 14 |
| 6024 | 59611 | 30 |
| 6025 | 59617 | 6 |
| 6026 | 59621 | 4 |
Questions
What is the 6023rd prime number?
59581.
Which prime number is 59581?
59581 is the 6023rd prime number.
What is the sum of the first 6023 primes?
169,816,408.