What is the 4426th prime number?
The 4426th prime number is 42337. The next prime is 42349 (a gap of 12) and the one before is 42331.
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 4426th one is 42337.
- 2
42337 is prime because no prime up to ā42337 ā 205.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4426th prime is close to 4426 Ć ln(4426) ā 37157, and here it is 42337.
- 4
42337 has no twin: neither 42335 nor 42339 is prime.
Primes around the 4426th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4423 | 42307 | 8 |
| 4424 | 42323 | 16 |
| 4425 | 42331 | 8 |
| 4426 | 42337 | 6 |
| 4427 | 42349 | 12 |
| 4428 | 42359 | 10 |
| 4429 | 42373 | 14 |
Questions
What is the 4426th prime number?
42337.
Which prime number is 42337?
42337 is the 4426th prime number.
What is the sum of the first 4426 primes?
88,361,373.