What is the 4436th prime number?
The 4436th prime number is 42433. The next prime is 42437 (a gap of 4) and the one before is 42409.
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 4436th one is 42433.
- 2
42433 is prime because no prime up to ā42433 ā 205.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4436th prime is close to 4436 Ć ln(4436) ā 37251, and here it is 42433.
- 4
42433 has no twin: neither 42431 nor 42435 is prime.
Primes around the 4436th
| Position | Prime | Gap from the previous |
|---|---|---|
| 4433 | 42403 | 6 |
| 4434 | 42407 | 4 |
| 4435 | 42409 | 2 |
| 4436 | 42433 | 24 |
| 4437 | 42437 | 4 |
| 4438 | 42443 | 6 |
| 4439 | 42451 | 8 |
Questions
What is the 4436th prime number?
42433.
Which prime number is 42433?
42433 is the 4436th prime number.
What is the sum of the first 4436 primes?
88,785,273.