What is the 7963rd prime number?
The 7963rd prime number is 81371. The next prime is 81373 (a gap of 2) and the one before is 81359.
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 7963rd one is 81371.
- 2
81371 is prime because no prime up to ā81371 ā 285.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7963rd prime is close to 7963 Ć ln(7963) ā 71528, and here it is 81371.
- 4
81371 is a twin prime: 81371 and 81373 are both prime.
Primes around the 7963rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7960 | 81349 | 6 |
| 7961 | 81353 | 4 |
| 7962 | 81359 | 6 |
| 7963 | 81371 | 12 |
| 7964 | 81373 | 2 |
| 7965 | 81401 | 28 |
| 7966 | 81409 | 8 |
Questions
What is the 7963rd prime number?
81371.
Which prime number is 81371?
81371 is the 7963rd prime number.
What is the sum of the first 7963 primes?
306,658,028.