What is the 7038th prime number?
The 7038th prime number is 71069. The next prime is 71081 (a gap of 12) and the one before is 71059.
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 7038th one is 71069.
- 2
71069 is prime because no prime up to ā71069 ā 266.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7038th prime is close to 7038 Ć ln(7038) ā 62350, and here it is 71069.
- 4
71069 has no twin: neither 71067 nor 71071 is prime.
Primes around the 7038th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7035 | 71023 | 12 |
| 7036 | 71039 | 16 |
| 7037 | 71059 | 20 |
| 7038 | 71069 | 10 |
| 7039 | 71081 | 12 |
| 7040 | 71089 | 8 |
| 7041 | 71119 | 30 |
Questions
What is the 7038th prime number?
71069.
Which prime number is 71069?
71069 is the 7038th prime number.
What is the sum of the first 7038 primes?
236,154,631.