What is the 7962nd prime number?
The 7962nd prime number is 81359. The next prime is 81371 (a gap of 12) and the one before is 81353.
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 7962nd one is 81359.
- 2
81359 is prime because no prime up to ā81359 ā 285.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7962nd prime is close to 7962 Ć ln(7962) ā 71518, and here it is 81359.
- 4
81359 has no twin: neither 81357 nor 81361 is prime.
Primes around the 7962nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7959 | 81343 | 12 |
| 7960 | 81349 | 6 |
| 7961 | 81353 | 4 |
| 7962 | 81359 | 6 |
| 7963 | 81371 | 12 |
| 7964 | 81373 | 2 |
| 7965 | 81401 | 28 |
Questions
What is the 7962nd prime number?
81359.
Which prime number is 81359?
81359 is the 7962nd prime number.
What is the sum of the first 7962 primes?
306,576,657.