What is the 7039th prime number?
The 7039th prime number is 71081. The next prime is 71089 (a gap of 8) and the one before is 71069.
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 7039th one is 71081.
- 2
71081 is prime because no prime up to ā71081 ā 266.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7039th prime is close to 7039 Ć ln(7039) ā 62360, and here it is 71081.
- 4
71081 has no twin: neither 71079 nor 71083 is prime.
Primes around the 7039th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7036 | 71039 | 16 |
| 7037 | 71059 | 20 |
| 7038 | 71069 | 10 |
| 7039 | 71081 | 12 |
| 7040 | 71089 | 8 |
| 7041 | 71119 | 30 |
| 7042 | 71129 | 10 |
Questions
What is the 7039th prime number?
71081.
Which prime number is 71081?
71081 is the 7039th prime number.
What is the sum of the first 7039 primes?
236,225,712.