What is the 6021st prime number?
The 6021st prime number is 59561. The next prime is 59567 (a gap of 6) and the one before is 59557.
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 6021st one is 59561.
- 2
59561 is prime because no prime up to ā59561 ā 244.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 6021st prime is close to 6021 Ć ln(6021) ā 52401, and here it is 59561.
- 4
59561 has no twin: neither 59559 nor 59563 is prime.
Primes around the 6021st
| Position | Prime | Gap from the previous |
|---|---|---|
| 6018 | 59513 | 4 |
| 6019 | 59539 | 26 |
| 6020 | 59557 | 18 |
| 6021 | 59561 | 4 |
| 6022 | 59567 | 6 |
| 6023 | 59581 | 14 |
| 6024 | 59611 | 30 |
Questions
What is the 6021st prime number?
59561.
Which prime number is 59561?
59561 is the 6021st prime number.
What is the sum of the first 6021 primes?
169,697,260.