What is the 7395th prime number?
The 7395th prime number is 75013. The next prime is 75017 (a gap of 4) and the one before is 75011.
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 7395th one is 75013.
- 2
75013 is prime because no prime up to ā75013 ā 273.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7395th prime is close to 7395 Ć ln(7395) ā 65879, and here it is 75013.
- 4
75013 is a twin prime: 75011 and 75013 are both prime.
Primes around the 7395th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7392 | 74941 | 8 |
| 7393 | 74959 | 18 |
| 7394 | 75011 | 52 |
| 7395 | 75013 | 2 |
| 7396 | 75017 | 4 |
| 7397 | 75029 | 12 |
| 7398 | 75037 | 8 |
Questions
What is the 7395th prime number?
75013.
Which prime number is 75013?
75013 is the 7395th prime number.
What is the sum of the first 7395 primes?
262,224,126.