What is the 7967th prime number?
The 7967th prime number is 81421. The next prime is 81439 (a gap of 18) and the one before is 81409.
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 7967th one is 81421.
- 2
81421 is prime because no prime up to ā81421 ā 285.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7967th prime is close to 7967 Ć ln(7967) ā 71568, and here it is 81421.
- 4
81421 has no twin: neither 81419 nor 81423 is prime.
Primes around the 7967th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7964 | 81373 | 2 |
| 7965 | 81401 | 28 |
| 7966 | 81409 | 8 |
| 7967 | 81421 | 12 |
| 7968 | 81439 | 18 |
| 7969 | 81457 | 18 |
| 7970 | 81463 | 6 |
Questions
What is the 7967th prime number?
81421.
Which prime number is 81421?
81421 is the 7967th prime number.
What is the sum of the first 7967 primes?
306,983,632.