What is the 7966th prime number?
The 7966th prime number is 81409. The next prime is 81421 (a gap of 12) and the one before is 81401.
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 7966th one is 81409.
- 2
81409 is prime because no prime up to ā81409 ā 285.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7966th prime is close to 7966 Ć ln(7966) ā 71558, and here it is 81409.
- 4
81409 has no twin: neither 81407 nor 81411 is prime.
Primes around the 7966th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7963 | 81371 | 12 |
| 7964 | 81373 | 2 |
| 7965 | 81401 | 28 |
| 7966 | 81409 | 8 |
| 7967 | 81421 | 12 |
| 7968 | 81439 | 18 |
| 7969 | 81457 | 18 |
Questions
What is the 7966th prime number?
81409.
Which prime number is 81409?
81409 is the 7966th prime number.
What is the sum of the first 7966 primes?
306,902,211.