What is the 3023rd prime number?
The 3023rd prime number is 27733. The next prime is 27737 (a gap of 4) and the one before is 27701.
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 3023rd one is 27733.
- 2
27733 is prime because no prime up to ā27733 ā 166.53 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3023rd prime is close to 3023 Ć ln(3023) ā 24226, and here it is 27733.
- 4
27733 has no twin: neither 27731 nor 27735 is prime.
Primes around the 3023rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3020 | 27691 | 2 |
| 3021 | 27697 | 6 |
| 3022 | 27701 | 4 |
| 3023 | 27733 | 32 |
| 3024 | 27737 | 4 |
| 3025 | 27739 | 2 |
| 3026 | 27743 | 4 |
Questions
What is the 3023rd prime number?
27733.
Which prime number is 27733?
27733 is the 3023rd prime number.
What is the sum of the first 3023 primes?
39,279,818.