What is the 7937th prime number?
The 7937th prime number is 81077. The next prime is 81083 (a gap of 6) and the one before is 81071.
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 7937th one is 81077.
- 2
81077 is prime because no prime up to ā81077 ā 284.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7937th prime is close to 7937 Ć ln(7937) ā 71269, and here it is 81077.
- 4
81077 has no twin: neither 81075 nor 81079 is prime.
Primes around the 7937th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7934 | 81047 | 4 |
| 7935 | 81049 | 2 |
| 7936 | 81071 | 22 |
| 7937 | 81077 | 6 |
| 7938 | 81083 | 6 |
| 7939 | 81097 | 14 |
| 7940 | 81101 | 4 |
Questions
What is the 7937th prime number?
81077.
Which prime number is 81077?
81077 is the 7937th prime number.
What is the sum of the first 7937 primes?
304,545,960.