What is the 4434th prime number?
The 4434th prime number is 42407. The next prime is 42409 (a gap of 2) and the one before is 42403.
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 4434th one is 42407.
- 2
42407 is prime because no prime up to ā42407 ā 205.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4434th prime is close to 4434 Ć ln(4434) ā 37233, and here it is 42407.
- 4
42407 is a twin prime: 42407 and 42409 are both prime.
Primes around the 4434th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4431 | 42391 | 12 |
| 4432 | 42397 | 6 |
| 4433 | 42403 | 6 |
| 4434 | 42407 | 4 |
| 4435 | 42409 | 2 |
| 4436 | 42433 | 24 |
| 4437 | 42437 | 4 |
Questions
What is the 4434th prime number?
42407.
Which prime number is 42407?
42407 is the 4434th prime number.
What is the sum of the first 4434 primes?
88,700,431.