What is the 7429th prime number?
The 7429th prime number is 75391. The next prime is 75401 (a gap of 10) and the one before is 75389.
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 7429th one is 75391.
- 2
75391 is prime because no prime up to ā75391 ā 274.57 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7429th prime is close to 7429 Ć ln(7429) ā 66216, and here it is 75391.
- 4
75391 is a twin prime: 75389 and 75391 are both prime.
Primes around the 7429th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7426 | 75367 | 14 |
| 7427 | 75377 | 10 |
| 7428 | 75389 | 12 |
| 7429 | 75391 | 2 |
| 7430 | 75401 | 10 |
| 7431 | 75403 | 2 |
| 7432 | 75407 | 4 |
Questions
What is the 7429th prime number?
75391.
Which prime number is 75391?
75391 is the 7429th prime number.
What is the sum of the first 7429 primes?
264,781,608.