What is the 1021st prime number?
The 1021st prime number is 8117. The next prime is 8123 (a gap of 6) and the one before is 8111.
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 1021st one is 8117.
- 2
8117 is prime because no prime up to ā8117 ā 90.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1021st prime is close to 1021 Ć ln(1021) ā 7074, and here it is 8117.
- 4
8117 has no twin: neither 8115 nor 8119 is prime.
Primes around the 1021st
| Position | Prime | Gap from the previous |
|---|---|---|
| 1018 | 8093 | 4 |
| 1019 | 8101 | 8 |
| 1020 | 8111 | 10 |
| 1021 | 8117 | 6 |
| 1022 | 8123 | 6 |
| 1023 | 8147 | 24 |
| 1024 | 8161 | 14 |
Questions
What is the 1021st prime number?
8117.
Which prime number is 8117?
8117 is the 1021st prime number.
What is the sum of the first 1021 primes?
3,851,502.