What is the 3022nd prime number?
The 3022nd prime number is 27701. The next prime is 27733 (a gap of 32) and the one before is 27697.
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 3022nd one is 27701.
- 2
27701 is prime because no prime up to ā27701 ā 166.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3022nd prime is close to 3022 Ć ln(3022) ā 24217, and here it is 27701.
- 4
27701 has no twin: neither 27699 nor 27703 is prime.
Primes around the 3022nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3019 | 27689 | 16 |
| 3020 | 27691 | 2 |
| 3021 | 27697 | 6 |
| 3022 | 27701 | 4 |
| 3023 | 27733 | 32 |
| 3024 | 27737 | 4 |
| 3025 | 27739 | 2 |
Questions
What is the 3022nd prime number?
27701.
Which prime number is 27701?
27701 is the 3022nd prime number.
What is the sum of the first 3022 primes?
39,252,085.