What is the 1020th prime number?
The 1020th prime number is 8111. The next prime is 8117 (a gap of 6) and the one before is 8101.
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 1020th one is 8111.
- 2
8111 is prime because no prime up to ā8111 ā 90.06 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1020th prime is close to 1020 Ć ln(1020) ā 7066, and here it is 8111.
- 4
8111 has no twin: neither 8109 nor 8113 is prime.
Primes around the 1020th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1017 | 8089 | 2 |
| 1018 | 8093 | 4 |
| 1019 | 8101 | 8 |
| 1020 | 8111 | 10 |
| 1021 | 8117 | 6 |
| 1022 | 8123 | 6 |
| 1023 | 8147 | 24 |
Questions
What is the 1020th prime number?
8111.
Which prime number is 8111?
8111 is the 1020th prime number.
What is the sum of the first 1020 primes?
3,843,385.