What is the 7397th prime number?
The 7397th prime number is 75029. The next prime is 75037 (a gap of 8) and the one before is 75017.
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 7397th one is 75029.
- 2
75029 is prime because no prime up to ā75029 ā 273.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7397th prime is close to 7397 Ć ln(7397) ā 65899, and here it is 75029.
- 4
75029 has no twin: neither 75027 nor 75031 is prime.
Primes around the 7397th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7394 | 75011 | 52 |
| 7395 | 75013 | 2 |
| 7396 | 75017 | 4 |
| 7397 | 75029 | 12 |
| 7398 | 75037 | 8 |
| 7399 | 75041 | 4 |
| 7400 | 75079 | 38 |
Questions
What is the 7397th prime number?
75029.
Which prime number is 75029?
75029 is the 7397th prime number.
What is the sum of the first 7397 primes?
262,374,172.