What is the 8015th prime number?
The 8015th prime number is 81967. The next prime is 81971 (a gap of 4) and the one before is 81953.
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 8015th one is 81967.
- 2
81967 is prime because no prime up to ā81967 ā 286.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8015th prime is close to 8015 Ć ln(8015) ā 72047, and here it is 81967.
- 4
81967 has no twin: neither 81965 nor 81969 is prime.
Primes around the 8015th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8012 | 81937 | 6 |
| 8013 | 81943 | 6 |
| 8014 | 81953 | 10 |
| 8015 | 81967 | 14 |
| 8016 | 81971 | 4 |
| 8017 | 81973 | 2 |
| 8018 | 82003 | 30 |
Questions
What is the 8015th prime number?
81967.
Which prime number is 81967?
81967 is the 8015th prime number.
What is the sum of the first 8015 primes?
310,905,828.