What is the 7961st prime number?
The 7961st prime number is 81353. The next prime is 81359 (a gap of 6) and the one before is 81349.
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 7961st one is 81353.
- 2
81353 is prime because no prime up to ā81353 ā 285.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7961st prime is close to 7961 Ć ln(7961) ā 71508, and here it is 81353.
- 4
81353 has no twin: neither 81351 nor 81355 is prime.
Primes around the 7961st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7958 | 81331 | 24 |
| 7959 | 81343 | 12 |
| 7960 | 81349 | 6 |
| 7961 | 81353 | 4 |
| 7962 | 81359 | 6 |
| 7963 | 81371 | 12 |
| 7964 | 81373 | 2 |
Questions
What is the 7961st prime number?
81353.
Which prime number is 81353?
81353 is the 7961st prime number.
What is the sum of the first 7961 primes?
306,495,298.