What is the 7040th prime number?
The 7040th prime number is 71089. The next prime is 71119 (a gap of 30) and the one before is 71081.
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 7040th one is 71089.
- 2
71089 is prime because no prime up to ā71089 ā 266.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7040th prime is close to 7040 Ć ln(7040) ā 62370, and here it is 71089.
- 4
71089 has no twin: neither 71087 nor 71091 is prime.
Primes around the 7040th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7037 | 71059 | 20 |
| 7038 | 71069 | 10 |
| 7039 | 71081 | 12 |
| 7040 | 71089 | 8 |
| 7041 | 71119 | 30 |
| 7042 | 71129 | 10 |
| 7043 | 71143 | 14 |
Questions
What is the 7040th prime number?
71089.
Which prime number is 71089?
71089 is the 7040th prime number.
What is the sum of the first 7040 primes?
236,296,801.