What is the 8014th prime number?
The 8014th prime number is 81953. The next prime is 81967 (a gap of 14) and the one before is 81943.
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 8014th one is 81953.
- 2
81953 is prime because no prime up to ā81953 ā 286.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8014th prime is close to 8014 Ć ln(8014) ā 72037, and here it is 81953.
- 4
81953 has no twin: neither 81951 nor 81955 is prime.
Primes around the 8014th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8011 | 81931 | 2 |
| 8012 | 81937 | 6 |
| 8013 | 81943 | 6 |
| 8014 | 81953 | 10 |
| 8015 | 81967 | 14 |
| 8016 | 81971 | 4 |
| 8017 | 81973 | 2 |
Questions
What is the 8014th prime number?
81953.
Which prime number is 81953?
81953 is the 8014th prime number.
What is the sum of the first 8014 primes?
310,823,861.