What is the 7964th prime number?
The 7964th prime number is 81373. The next prime is 81401 (a gap of 28) and the one before is 81371.
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 7964th one is 81373.
- 2
81373 is prime because no prime up to ā81373 ā 285.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7964th prime is close to 7964 Ć ln(7964) ā 71538, and here it is 81373.
- 4
81373 is a twin prime: 81371 and 81373 are both prime.
Primes around the 7964th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7961 | 81353 | 4 |
| 7962 | 81359 | 6 |
| 7963 | 81371 | 12 |
| 7964 | 81373 | 2 |
| 7965 | 81401 | 28 |
| 7966 | 81409 | 8 |
| 7967 | 81421 | 12 |
Questions
What is the 7964th prime number?
81373.
Which prime number is 81373?
81373 is the 7964th prime number.
What is the sum of the first 7964 primes?
306,739,401.