What is the 7421st prime number?
The 7421st prime number is 75323. The next prime is 75329 (a gap of 6) and the one before is 75307.
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 7421st one is 75323.
- 2
75323 is prime because no prime up to ā75323 ā 274.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7421st prime is close to 7421 Ć ln(7421) ā 66136, and here it is 75323.
- 4
75323 has no twin: neither 75321 nor 75325 is prime.
Primes around the 7421st
| Position | Prime | Gap from the previous |
|---|---|---|
| 7418 | 75277 | 8 |
| 7419 | 75289 | 12 |
| 7420 | 75307 | 18 |
| 7421 | 75323 | 16 |
| 7422 | 75329 | 6 |
| 7423 | 75337 | 8 |
| 7424 | 75347 | 10 |
Questions
What is the 7421st prime number?
75323.
Which prime number is 75323?
75323 is the 7421st prime number.
What is the sum of the first 7421 primes?
264,178,718.