What is the 1019th prime number?
The 1019th prime number is 8101. The next prime is 8111 (a gap of 10) and the one before is 8093.
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 1019th one is 8101.
- 2
8101 is prime because no prime up to ā8101 ā 90.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1019th prime is close to 1019 Ć ln(1019) ā 7058, and here it is 8101.
- 4
8101 has no twin: neither 8099 nor 8103 is prime.
Primes around the 1019th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1016 | 8087 | 6 |
| 1017 | 8089 | 2 |
| 1018 | 8093 | 4 |
| 1019 | 8101 | 8 |
| 1020 | 8111 | 10 |
| 1021 | 8117 | 6 |
| 1022 | 8123 | 6 |
Questions
What is the 1019th prime number?
8101.
Which prime number is 8101?
8101 is the 1019th prime number.
What is the sum of the first 1019 primes?
3,835,274.