What is the 7927th prime number?
The 7927th prime number is 81013. The next prime is 81017 (a gap of 4) and the one before is 81001.
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 7927th one is 81013.
- 2
81013 is prime because no prime up to ā81013 ā 284.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7927th prime is close to 7927 Ć ln(7927) ā 71169, and here it is 81013.
- 4
81013 has no twin: neither 81011 nor 81015 is prime.
Primes around the 7927th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7924 | 80963 | 10 |
| 7925 | 80989 | 26 |
| 7926 | 81001 | 12 |
| 7927 | 81013 | 12 |
| 7928 | 81017 | 4 |
| 7929 | 81019 | 2 |
| 7930 | 81023 | 4 |
Questions
What is the 7927th prime number?
81013.
Which prime number is 81013?
81013 is the 7927th prime number.
What is the sum of the first 7927 primes?
303,735,542.