What is the 4421st prime number?
The 4421st prime number is 42293. The next prime is 42299 (a gap of 6) and the one before is 42283.
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 4421st one is 42293.
- 2
42293 is prime because no prime up to ā42293 ā 205.65 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4421st prime is close to 4421 Ć ln(4421) ā 37110, and here it is 42293.
- 4
42293 has no twin: neither 42291 nor 42295 is prime.
Primes around the 4421st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4418 | 42257 | 18 |
| 4419 | 42281 | 24 |
| 4420 | 42283 | 2 |
| 4421 | 42293 | 10 |
| 4422 | 42299 | 6 |
| 4423 | 42307 | 8 |
| 4424 | 42323 | 16 |
Questions
What is the 4421st prime number?
42293.
Which prime number is 42293?
42293 is the 4421st prime number.
What is the sum of the first 4421 primes?
88,149,776.