What is the 7965th prime number?
The 7965th prime number is 81401. The next prime is 81409 (a gap of 8) and the one before is 81373.
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 7965th one is 81401.
- 2
81401 is prime because no prime up to ā81401 ā 285.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7965th prime is close to 7965 Ć ln(7965) ā 71548, and here it is 81401.
- 4
81401 has no twin: neither 81399 nor 81403 is prime.
Primes around the 7965th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7962 | 81359 | 6 |
| 7963 | 81371 | 12 |
| 7964 | 81373 | 2 |
| 7965 | 81401 | 28 |
| 7966 | 81409 | 8 |
| 7967 | 81421 | 12 |
| 7968 | 81439 | 18 |
Questions
What is the 7965th prime number?
81401.
Which prime number is 81401?
81401 is the 7965th prime number.
What is the sum of the first 7965 primes?
306,820,802.