What is the 7968th prime number?
The 7968th prime number is 81439. The next prime is 81457 (a gap of 18) and the one before is 81421.
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 7968th one is 81439.
- 2
81439 is prime because no prime up to ā81439 ā 285.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7968th prime is close to 7968 Ć ln(7968) ā 71578, and here it is 81439.
- 4
81439 has no twin: neither 81437 nor 81441 is prime.
Primes around the 7968th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7965 | 81401 | 28 |
| 7966 | 81409 | 8 |
| 7967 | 81421 | 12 |
| 7968 | 81439 | 18 |
| 7969 | 81457 | 18 |
| 7970 | 81463 | 6 |
| 7971 | 81509 | 46 |
Questions
What is the 7968th prime number?
81439.
Which prime number is 81439?
81439 is the 7968th prime number.
What is the sum of the first 7968 primes?
307,065,071.