What is the 1023rd prime number?
The 1023rd prime number is 8147. The next prime is 8161 (a gap of 14) and the one before is 8123.
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 1023rd one is 8147.
- 2
8147 is prime because no prime up to ā8147 ā 90.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1023rd prime is close to 1023 Ć ln(1023) ā 7090, and here it is 8147.
- 4
8147 has no twin: neither 8145 nor 8149 is prime.
Primes around the 1023rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1020 | 8111 | 10 |
| 1021 | 8117 | 6 |
| 1022 | 8123 | 6 |
| 1023 | 8147 | 24 |
| 1024 | 8161 | 14 |
| 1025 | 8167 | 6 |
| 1026 | 8171 | 4 |
Questions
What is the 1023rd prime number?
8147.
Which prime number is 8147?
8147 is the 1023rd prime number.
What is the sum of the first 1023 primes?
3,867,772.