What is the 4435th prime number?
The 4435th prime number is 42409. The next prime is 42433 (a gap of 24) and the one before is 42407.
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 4435th one is 42409.
- 2
42409 is prime because no prime up to ā42409 ā 205.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4435th prime is close to 4435 Ć ln(4435) ā 37242, and here it is 42409.
- 4
42409 is a twin prime: 42407 and 42409 are both prime.
Primes around the 4435th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4432 | 42397 | 6 |
| 4433 | 42403 | 6 |
| 4434 | 42407 | 4 |
| 4435 | 42409 | 2 |
| 4436 | 42433 | 24 |
| 4437 | 42437 | 4 |
| 4438 | 42443 | 6 |
Questions
What is the 4435th prime number?
42409.
Which prime number is 42409?
42409 is the 4435th prime number.
What is the sum of the first 4435 primes?
88,742,840.