What is the 8012th prime number?
The 8012th prime number is 81937. The next prime is 81943 (a gap of 6) and the one before is 81931.
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 8012th one is 81937.
- 2
81937 is prime because no prime up to ā81937 ā 286.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8012th prime is close to 8012 Ć ln(8012) ā 72017, and here it is 81937.
- 4
81937 has no twin: neither 81935 nor 81939 is prime.
Primes around the 8012th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8009 | 81919 | 18 |
| 8010 | 81929 | 10 |
| 8011 | 81931 | 2 |
| 8012 | 81937 | 6 |
| 8013 | 81943 | 6 |
| 8014 | 81953 | 10 |
| 8015 | 81967 | 14 |
Questions
What is the 8012th prime number?
81937.
Which prime number is 81937?
81937 is the 8012th prime number.
What is the sum of the first 8012 primes?
310,659,965.