What is the 7431st prime number?
The 7431st prime number is 75403. The next prime is 75407 (a gap of 4) and the one before is 75401.
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 7431st one is 75403.
- 2
75403 is prime because no prime up to ā75403 ā 274.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7431st prime is close to 7431 Ć ln(7431) ā 66236, and here it is 75403.
- 4
75403 is a twin prime: 75401 and 75403 are both prime.
Primes around the 7431st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7428 | 75389 | 12 |
| 7429 | 75391 | 2 |
| 7430 | 75401 | 10 |
| 7431 | 75403 | 2 |
| 7432 | 75407 | 4 |
| 7433 | 75431 | 24 |
| 7434 | 75437 | 6 |
Questions
What is the 7431st prime number?
75403.
Which prime number is 75403?
75403 is the 7431st prime number.
What is the sum of the first 7431 primes?
264,932,412.