What is the 7969th prime number?
The 7969th prime number is 81457. The next prime is 81463 (a gap of 6) and the one before is 81439.
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 7969th one is 81457.
- 2
81457 is prime because no prime up to ā81457 ā 285.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7969th prime is close to 7969 Ć ln(7969) ā 71588, and here it is 81457.
- 4
81457 has no twin: neither 81455 nor 81459 is prime.
Primes around the 7969th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7966 | 81409 | 8 |
| 7967 | 81421 | 12 |
| 7968 | 81439 | 18 |
| 7969 | 81457 | 18 |
| 7970 | 81463 | 6 |
| 7971 | 81509 | 46 |
| 7972 | 81517 | 8 |
Questions
What is the 7969th prime number?
81457.
Which prime number is 81457?
81457 is the 7969th prime number.
What is the sum of the first 7969 primes?
307,146,528.