What is the 7423rd prime number?
The 7423rd prime number is 75337. The next prime is 75347 (a gap of 10) and the one before is 75329.
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 7423rd one is 75337.
- 2
75337 is prime because no prime up to ā75337 ā 274.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7423rd prime is close to 7423 Ć ln(7423) ā 66156, and here it is 75337.
- 4
75337 has no twin: neither 75335 nor 75339 is prime.
Primes around the 7423rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 7420 | 75307 | 18 |
| 7421 | 75323 | 16 |
| 7422 | 75329 | 6 |
| 7423 | 75337 | 8 |
| 7424 | 75347 | 10 |
| 7425 | 75353 | 6 |
| 7426 | 75367 | 14 |
Questions
What is the 7423rd prime number?
75337.
Which prime number is 75337?
75337 is the 7423rd prime number.
What is the sum of the first 7423 primes?
264,329,384.