What is the 3021st prime number?
The 3021st prime number is 27697. The next prime is 27701 (a gap of 4) and the one before is 27691.
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 3021st one is 27697.
- 2
27697 is prime because no prime up to ā27697 ā 166.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3021st prime is close to 3021 Ć ln(3021) ā 24208, and here it is 27697.
- 4
27697 has no twin: neither 27695 nor 27699 is prime.
Primes around the 3021st
| Position | Prime | Gap from the previous |
|---|---|---|
| 3018 | 27673 | 20 |
| 3019 | 27689 | 16 |
| 3020 | 27691 | 2 |
| 3021 | 27697 | 6 |
| 3022 | 27701 | 4 |
| 3023 | 27733 | 32 |
| 3024 | 27737 | 4 |
Questions
What is the 3021st prime number?
27697.
Which prime number is 27697?
27697 is the 3021st prime number.
What is the sum of the first 3021 primes?
39,224,384.