What is the 7939th prime number?
The 7939th prime number is 81097. The next prime is 81101 (a gap of 4) and the one before is 81083.
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 7939th one is 81097.
- 2
81097 is prime because no prime up to ā81097 ā 284.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7939th prime is close to 7939 Ć ln(7939) ā 71289, and here it is 81097.
- 4
81097 has no twin: neither 81095 nor 81099 is prime.
Primes around the 7939th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7936 | 81071 | 22 |
| 7937 | 81077 | 6 |
| 7938 | 81083 | 6 |
| 7939 | 81097 | 14 |
| 7940 | 81101 | 4 |
| 7941 | 81119 | 18 |
| 7942 | 81131 | 12 |
Questions
What is the 7939th prime number?
81097.
Which prime number is 81097?
81097 is the 7939th prime number.
What is the sum of the first 7939 primes?
304,708,140.